********************************* * Nucleon E.M. Form Factors * * (GEp, GMp; GEn, GMn) * ********************************* This file includes almost all of the experimental data on nucleon electromagnetic form factors in the space-like region published in english language journals after 1970. Some measurements without explicit data are not included here. For example, S.Platchkov measured neutron electric form factor(Nucl Phys A510, 740-758,1990), but unfortunately only a plot was given in the article with no data table. The data are sorted by form-factor and then by date (in reverse chronological order). Each data set has the following fields: LAB at which the data were taken Reference to the paper notes about target/method data Throughout this file: Gd = 1/(1+Q2/.71)/(1+Q2/.71), mu_p = 2.79, mu_n = -1.91, and Q2=Q^2 is given in (GeV/c)^2 unless noted otherwise. Most of these data were originally compiled by L. Zhu. If you have questions or updates, please contact Jason Seely at seely@mit.edu. ************************************************************** mu_p*GEp/GMp ************************************************************** Note that there has been significant recent discussion regarding the apparent discrepency among the results from the different methods used to extract the proton form factor ratio. For detail on this ongoing discussion, a good place to start is the work of J. Arrington. ========================================================================== JLab V. Punjabi et al., nucl-ex/0501018 Polarization Transfer Q2 error mu*GEp/GMp error(stat) error(syst) ========================================================================== 0.49 0.04 0.979 0.016 0.006 0.79 0.02 0.951 0.012 0.010 1.18 0.07 0.883 0.013 0.018 1.48 0.11 0.798 0.029 0.026 1.77 0.12 0.789 0.024 0.035 1.88 0.13 0.777 0.024 0.033 2.13 0.15 0.747 0.032 0.034 2.47 0.17 0.703 0.023 0.033 2.97 0.20 0.615 0.029 0.021 3.47 0.20 0.606 0.042 0.014 ========================================================================== JLab I.A. Qattan et al., nucl-ex/0410010 Precision Rosenbluth note: extracted GEp, GMp, mu_p*GEp/GMp Q2 mu*GEp/GMp error(total) -------------------------------------------------------------------------- 2.64 0.902 0.038 3.20 0.961 0.051 4.10 1.097 0.077 ========================================================================== J. Arrington, Phys. Rev. C, 68, 034325 (2003); (nucl-ex/0305009) this is a reanalysis of past (rosenbluth) experiments, including GEp, GMp, and GEp/GMp (given below). Refernces for original data can be found with the entry for each author, or in the paper above. (please see also: http://www.jlab.org/resdata/ for more details about the cross sections used in this analysis.) Q^2 GEp/Gd GMp/Gd/mu_p GEp/GMp/mu_p error error error author ================================================================= 1.499 1.180 0.339 0.982 0.111 1.201 0.481 1 ! Litt 1.998 1.258 0.286 0.977 0.072 1.287 0.387 1 2.500 1.106 0.164 1.010 0.028 1.095 0.192 1 3.745 1.377 0.256 0.979 0.038 1.407 0.316 1 1.000 1.006 0.072 1.012 0.026 0.994 0.097 2 ! Walker 2.003 1.084 0.120 1.027 0.022 1.055 0.139 2 2.497 0.944 0.180 1.045 0.022 0.903 0.191 2 3.007 1.227 0.145 1.008 0.020 1.217 0.168 2 1.75 0.959 0.053 1.049 0.009 0.913 0.057 3 ! Andivahis 2.50 0.863 0.082 1.054 0.008 0.819 0.084 3 3.25 0.868 0.185 1.047 0.015 0.829 0.188 3 4.00 0.890 0.205 1.033 0.015 0.861 0.210 3 5.00 0.578 0.453 1.030 0.016 0.561 0.448 3 0.389 0.938 0.025 0.985 0.019 0.952 0.043 4 ! Berger 0.584 0.965 0.019 0.985 0.009 0.980 0.027 4 0.779 0.950 0.041 1.004 0.012 0.946 0.051 4 0.973 1.034 0.058 1.003 0.016 1.031 0.074 4 1.168 1.074 0.132 1.022 0.023 1.051 0.152 4 1.363 0.907 0.171 1.037 0.022 0.875 0.182 4 1.557 1.229 0.265 1.031 0.027 1.192 0.285 4 1.752 0.863 0.479 1.062 0.036 0.813 0.478 4 0.156 1.021 0.028 0.926 0.027 1.103 0.057 5 ! Janssens 0.179 0.962 0.024 0.959 0.016 1.003 0.039 5 0.195 0.973 0.041 0.999 0.032 0.974 0.067 5 0.234 1.020 0.034 0.939 0.025 1.087 0.061 5 0.273 1.000 0.039 0.935 0.019 1.070 0.059 5 0.292 1.005 0.044 0.936 0.022 1.074 0.068 5 0.311 0.935 0.041 0.961 0.018 0.974 0.057 5 0.389 1.014 0.041 0.956 0.016 1.061 0.058 5 0.428 1.019 0.064 0.970 0.024 1.051 0.086 5 0.467 0.993 0.055 0.974 0.020 1.020 0.073 5 0.506 1.023 0.080 0.954 0.029 1.073 0.113 5 0.545 0.984 0.069 0.983 0.020 1.000 0.087 5 0.584 1.016 0.103 0.981 0.030 1.036 0.133 5 0.623 0.951 0.085 0.987 0.020 0.964 0.103 5 0.662 0.869 0.151 1.027 0.031 0.846 0.169 5 0.701 1.076 0.100 0.982 0.021 1.096 0.121 5 0.740 1.053 0.162 1.017 0.032 1.036 0.186 5 0.779 0.805 0.160 1.035 0.022 0.778 0.169 5 0.857 0.814 0.236 1.083 0.023 0.751 0.230 5 ========================================================================== JLAB M.E. Christy et al., nucl-ex/0401030 (no data, only figure in this preprint. future version should give data.) ========================================================================== O. Gayou et al., Phys. Rev. Lett. 88, 092301 (2002) Measured GEp/GMp by polarization transfer in p(e,e'p) (polarized beam). Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 3.50 0.23 0.571 0.072 0.007 3.97 0.26 0.482 0.052 0.008 4.75 0.30 0.382 0.053 0.011 5.54 0.34 0.273 0.087 0.028 ========================================================================== Mainz S. Dieterich et al., Phys. Lett. B 500, 47 (2001) Polarization transfer in He4(e,e'p)He3 (polarized beam). Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 0.40 0.88 0.04 0.01 ========================================================================== Mainz Th. Pospischil et al., Eur. Phys. J. A 12, 125 (2001) Polarization transfer in p(e,e'p) (polarized beam). Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 0.373 0.999 0.028 0.046 0.401 1.011 0.029 0.044 0.441 0.936 0.033 0.039 ========================================================================== JLAB O. Gayou et al., Phys. Rev. C 64, 038202 (2001) Measured GEp/GMp by polarization transfer in p(e,e'p) (polarized beam). (Thanks to J. Arrington for sending the ref. and data) Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 0.32 0.930 0.067 0.007 0.35 0.910 0.061 0.004 0.39 0.961 0.033 0.005 0.46 0.952 0.034 0.006 0.57 0.959 0.039 0.007 0.76 0.966 0.033 0.012 0.86 0.865 0.029 0.015 0.88 0.923 0.086 0.013 1.02 0.900 0.038 0.022 1.12 0.825 0.027 0.020 1.18 0.851 0.050 0.023 1.42 0.733 0.058 0.029 1.76 0.816 0.115 0.069 ========================================================================== JLAB M.K. Jones et al., PRL vol. 84, 1398 (2000) Measured GEp/GMp by polarization transfer in p(e,e'p) (polarized beam). Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 0.49 0.04 0.966 0.022 0.011 0.79 0.02 0.950 0.015 0.017 1.18 0.07 0.869 0.014 0.027 1.48 0.11 0.798 0.033 0.035 1.77 0.12 0.728 0.026 0.047 1.88 0.13 0.720 0.031 0.060 2.47 0.17 0.726 0.027 0.062 2.97 0.20 0.612 0.032 0.056 3.47 0.20 0.609 0.047 0.045 ========================================================================== MIT-Bates B.D. Milbrath et al., Phys. Rev. Lett. 80, 452 (1998) with an erratum: B.D. Milbrath et al., Phys. Rev. Lett. 82, 2221 (1999) (the data below were taken from the erratum.) Measured GEp/GMp by polarization transfer in p(e,e'p), and d(e,e'p) Q2 error mu*GEp/GMp error(stat) error(syst) error(theo) -------------------------------------------------------------------------- ep->ep: ------- 0.38 0.95 0.05 0.02 0.50 1.02 0.05 0.02 -------------------------------------------------- ed->ep: ------- 0.38 1.00 0.10 0.02 0.50 1.07 0.06 0.02 ========================================================================== SLAC L. Andivahis et al., Phys. Rev. D 50, 5491 (1994)++ (First published as P. E. Bosted et al., Phys Rev Lett 68, 3841 (1992).) Numbers below are from 2nd publication (Andivahis et al.). "The total error is quatdrature sum of the statistical plus the systematic point-to-point error. The overall normalization error of +-0.9% has not been included.". Q2 mu*GEp/GMp error(stat+) error(stat-) error(total+) error(total-) -------------------------------------------------------------------------- 1.75 0.910 0.036 0.036 0.059 0.061 2.50 0.824 0.024 0.024 0.068 0.072 3.25 0.846 0.053 0.056 0.112 0.124 4.00 0.891 0.068 0.073 0.123 0.138 5.00 0.931 0.099 0.108 0.162 0.192 6.00 0.965 0.144 0.164 0.200 0.241 7.00 1.510 0.217 0.238 0.247 0.275 8.83 0.949 0.542 0.948 0.566 0.948 ========================================================================== DESY W. Bartel et al Nuclear Physics B58 429 (1973) GEp/Gd is derived from the ratio mu*gep/gmp and gmp. And the error for gep/gd is estimated from the their errors too: err(gep/gd) = gep/gd*sqrt((rel_err(mu*gep/gmp)^2-rel_err(gmp)^2)) . (Only Ge/Gd extracted from cross sections from this experiment are listed below. In the paper is a tabulation of Ge/Gd extracted by combining cross sections from other experiments with this experiment.) Q2 mu*GEp/GMp error(total) GEp/Gd error(total) -------------------------------------------------------------------------- 0.67 1.05 0.08 1.015 0.07 1.00 1.04 0.10 1.06 0.10 1.169 0.99 0.08 1.02 0.08 1.50 1.00 0.14 1.03 0.14 1.75 0.78 0.14 0.825 0.14 2.00 0.81 0.14 0.85 0.14 2.33 0.71 0.22 0.755 0.22 3.00 0.63 0.33 0.67 0.33 ========================================================================== SLAC M.J. Alguard et al., Phys. Rev. Let. 37, 1298 (1976) longitudinally polarized electrons scattered from longitudinally polarized protons. Value shown below is actually |mu_p*GEp/GMp|. The result is consistent with GEp and GMp having the same sign. Q2 mu*GEp/GMp error(total) -------------------------------------------------------------------------- 0.765 0.98 0.04 note: Chris Crawford points out the following regarding these data: "this is actually a compilation of data from berger, and bartel. they only quote an asymmetry, A=0.138+/-0.031, and you can see the reason why in the plot of the asymmetry vs mu*Ge/Gm. they were unfortunate enough to choose kinematics where the asymmetry is dead flat. not only that, but there is no solution for mu*Ge/Gm. but taking the A - 1 sigma limit, i would quote the result as 0.40 < mu*Ge/Gm < 1.20 or something like that." ========================================================================== Bonn Ch. Berger et al., Phys Letters 35B, 87-89,(1971) "The shown errors are random errors only. In case of Ge and Gm, a normalization error of 2% has to be added." note that in paper Q2 is in (1/fm)^2 Q2 mu*GEp/GMp error(stat) -------------------------------------------------------------------------- 0.389 0.95 0.026 0.584 0.972 0.019 0.779 0.957 0.030 0.973 0.984 0.042 1.168 0.909 0.061 1.363 0.935 0.068 1.557 0.872 0.084 1.752 0.815 0.119 1.947 1.003 0.174 ========================================================================== SLAC J. Litt et al., Phys. Lett. 31B, 40, (1970) Rosenbluth separation in p(e,e')p Q2 error mu*GEp/GMp error(total) -------------------------------------------------------------------------- 0.99 0.97 0.05 1.53 0.82 0.08 1.98 1.06 0.17 2.50 1.16 0.19 3.74 1.41 0.31 ************************************************************** GEp/Gd ************************************************************** JLab I.A. Qattan et al., nucl-ex/0410010 Precision Rosenbluth note: extracted GEp, GMp, mu_p*GEp/GMp Q2 GEp/Gd error(total) -------------------------------------------------------------------------- 2.64 0.949 0.040 3.20 1.007 0.052 4.10 1.132 0.077 ========================================================================== SLAC L. Andivahis et al., Phys. Rev. D 50, 5491 (1994) (First published as P. E. Bosted et al., Phys Rev Lett 68, 3841 (1992).) Numbers below are from 2nd publication (Andivahis et al.). "The total error is quatdrature sum of the statistical plus the systematic point-to-point error. The overall normalization error of +-0.9% has not been included." Q2 GEp/Gd error(stat+) error(stat-) error(total+) error(total-) -------------------------------------------------------------------------- 1.75 0.956 0.032 0.033 0.053 0.056 2.50 0.868 0.023 0.024 0.065 0.070 3.25 0.884 0.051 0.055 0.108 0.123 4.00 0.919 0.066 0.071 0.118 0.135 5.00 0.942 0.094 0.104 0.155 0.188 6.00 0.952 0.133 0.155 0.184 0.229 7.00 1.448 0.184 0.211 0.209 0.244 8.83 0.869 0.464 0.869 0.484 0.869 ========================================================================== SLAC First published as R. C. Walker et al., Phys Lett B 224, 353 (1989) with no table just graphs. Second publication as R. C. Walker et al., Phys Rev. D 49, 5671 (1994) Below are Ge/Gd extracted from data from this experiment. In the paper is a tabulation of muGe/Gm combining data from other experiements with this one. Q2 GEp/Gd error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 1.000 1.001 0.072 0.039 0.013 2.003 1.173 0.077 0.047 0.029 2.497 1.101 0.103 0.065 0.031 3.007 1.231 0.141 0.083 0.035 ========================================================================== Mainz G.G. Simon et al., Nucl. Phys. A, 381-391 (1979) unpolarized electron scattering. extracts GEp from unpol. cross section assuming: GEp/GMp/mu_p = 1 Q2 GEp GEp/Gd error(stat) (fm^-2) (%) -------------------------------------------------------------------------- 0.14 0.9858 1.0010 0.22 0.20 0.9767 0.9982 0.25 0.25 0.9722 0.9990 0.22 0.30 0.9619 0.9938 0.43 0.35 0.9612 0.9984 0.22 0.40 0.9511 0.9945 0.50 0.45 0.9463 0.9936 0.16 0.50 0.9428 0.9952 0.31 0.55 0.9353 0.9925 0.16 0.60 0.9320 0.9932 0.30 0.65 0.9246 0.9930 0.18 0.70 0.9165 0.9882 0.35 0.80 0.9064 0.9877 0.27 0.85 0.9043 0.9906 0.32 0.90 0.9023 0.9935 0.37 1.00 0.8839 0.9835 0.80 1.20 0.8637 0.9799 0.60 1.40 0.8466 0.9815 0.40 ========================================================================== Mainz F.Borkowski et al., Nucl Phys B93, 461-478,(1975) [Other references: Nucle Phys A222, 269-275,(1974) ] The errors quoted are due to the random errors in the cross section and have been calculated from the error matrix of the fitting routine. "Taking into account the overall normalization error of the cross sections would give rise to an additional uncertainty of 1.8% in the form factors." Q2 GEp/Gd error(stat) GEp error(stat) -------------------------------------------------------------------------- 0.0136 0.986 0.008 0.949 0.008 0.021 0.986 0.008 0.930 0.008 0.033 0.988 0.008 0.901 0.007 0.040 0.975 0.009 0.874 0.008 0.046 0.974 0.007 0.859 0.006 0.055 0.974 0.005 0.840 0.004 0.066 0.968 0.009 0.810 0.008 0.084 0.965 0.007 0.772 0.006 0.099 0.969 0.009 0.746 0.007 0.123 0.954 0.018 0.693 0.013 ========================================================================== Saskatchewan linear accelerator in Univesity of Saskatchewan, saskatoon, canada J.J.Murphy et al., Phys Rev C9, 2125-2129 (1974) The errors attached to Ge include both statistical couting errors and the uncertainties resulting from variations in d\sigma/d\omega_p as a function of the integration cutoff energy. (Q2 in (GeV/c)^2 and GEp/Gd (and errors) were not included in the paper, but were calculated for this database.) Q2(fm-2) Q2(GeV^2) GEp/Gd error(total) GEp error(total) -------------------------------------------------------------------------- 0.150 0.0058 0.997 0.005 0.981 0.005 0.295 0.0115 1.001 0.005 0.969 0.005 0.297 0.0116 0.998 0.003 0.966 0.003 0.347 0.0135 0.998 0.003 0.961 0.003 0.390 0.0152 1.004 0.003 0.962 0.003 0.396 0.0154 0.997 0.003 0.955 0.003 0.440 0.0171 0.997 0.003 0.951 0.003 0.493 0.0192 0.994 0.004 0.942 0.004 0.530 0.0206 0.994 0.010 0.939 0.009 0.678 0.0264 0.992 0.004 0.922 0.004 0.794 0.0309 0.995 0.004 0.914 0.004 ========================================================================== DESY W. Bartel et al Nuclear Physics B58 429 (1973) GEp/Gd is derived from the ratio mu*gep/gmp and gmp. And the error for gep/gd is estimated from the their errors too: err(gep/gd) = gep/gd*sqrt((rel_err(mu*gep/gmp)^2-rel_err(gmp)^2)) . (Only Ge/Gd extracted from cross sections from this experiment are listed below. In the paper is a tabulation of Ge/Gd extracted by combining cross sections from other experiments with this experiment.) Q2 mu*GEp/GMp error(total) GEp/Gd error(total) -------------------------------------------------------------------------- 0.67 1.05 0.08 1.015 0.07 1.00 1.04 0.10 1.06 0.10 1.169 0.99 0.08 1.02 0.08 1.50 1.00 0.14 1.03 0.14 1.75 0.78 0.14 0.825 0.14 2.00 0.81 0.14 0.85 0.14 2.33 0.71 0.22 0.755 0.22 3.00 0.63 0.33 0.67 0.33 ========================================================================== Cambridge Electron Accelator K.M.Hanson(Harvard) et al., Phys Rev D8 753-778 (1973) From e-d scattering Q2(fm-2) Q2(GeV^2) GEp/Gd error(total) GEp error(total,relative) -------------------------------------------------------------------------- 7.0 0.272 0.958 0.013 0.5004 1.4% 10.0 0.389 0.994 0.012 0.4147 1.2% 15.0 0.584 0.972 0.014 0.2926 1.4% 20.0 0.779 0.956 0.029 0.2174 3.0% 30.0 1.168 0.914 0.033 0.1307 3.6% 45.0 1.752 0.856 0.077 0.07123 9.0% ========================================================================== Cambridge Electron Accelerator(CEA) L.E.Price(Harvard University) et al., Phys Rev D4, 45-53,(1971) The error of gep/gd is estimated as the product of the ratio of gep/gd,gep^2 and half of the err of gep^2. From e-p scattering Q2 GEp/Gd error(total) GEp^2 error(total) -------------------------------------------------------------------------- 0.130 0.971 0.011 0.481 0.011 0.190 0.973 0.008 0.367 0.006 0.270 0.958 0.013 0.253 0.007 0.330 0.958 0.011 0.1994 0.0044 0.390 0.994 0.012 0.1716 0.0041 0.450 1.001 0.025 0.1405 0.0071 0.530 0.998 0.035 0.1070 0.0074 0.580 0.972 0.014 0.0867 0.0025 0.650 0.972 0.042 0.0702 0.0061 0.720 1.095 0.070 0.0729 0.0093 0.780 0.956 0.028 0.0471 0.0028 0.940 1.057 0.041 0.0383 0.0030 1.100 0.914 0.032 0.0198 0.0014 1.350 0.960 0.044 0.0130 0.0012 1.750 0.857 0.076 0.0051 0.0009 ========================================================================== Bonn Ch. Berger et al., Phys Letters 35B, 87-89,(1971) "The shown errors are random errors only. In case of Ge and Gm, a normalization error of 2% has to be added." note that in paper Q2 is in (1/fm)^2, and GEp, GMp/mu, and mu*GEp/GMp are given (numbers below were calculated.) Q2 GEp/Gd error(stat) -------------------------------------------------------------------------- 0.389 0.95 0.026 0.584 0.972 0.019 0.779 0.957 0.030 0.973 0.984 0.042 1.168 0.909 0.061 1.363 0.935 0.068 1.557 0.872 0.084 1.752 0.815 0.119 1.947 1.003 0.174 ========================================================================== Cambridge (Harvard cyclotron) + others L.N. Hand et al., Rev. Mod. Phys., 35, 335-349 (1963) this paper gives data for several experiments, please see paper for details. Q2 GEp/Gd error(---) -------------------------------------------------------------------------- 0.0109 0.973 0.014 0.0116 0.959 0.010 0.0116 0.974 0.006 0.0140 0.967 0.040 0.019 0.933 0.009 0.0221 0.915 0.037 0.0233 0.940 0.007 0.0241 0.922 0.010 0.0307 0.920 0.037 0.0361 0.848 0.034 0.0388 0.881 0.009 0.0408 0.884 0.009 0.0505 0.867 0.025 0.0536 0.873 0.036 0.0621 0.849 0.004 0.0776 0.810 0.024 0.0776 0.825 0.022 0.0776 0.784 0.013 0.0854 0.790 0.006 0.116 0.725 0.021 0.155 0.650 0.034 0.155 0.749 0.173 0.233 0.557 0.122 0.233 0.654 0.186 0.310 0.400 0.109 0.310 0.473 0.624 0.388 0.419 0.033 0.388 0.558 0.021 0.388 0.417 0.020 0.466 0.300 0.044 0.466 0.466 0.032 0.543 0.256 0.054 0.582 0.416 0.022 0.621 0.281 0.050 0.699 0.350 0.024 0.776 0.316 0.045 0.854 0.295 0.046 0.931 0.249 0.109 0.931 0.204 0.545 0.970 0.396 0.037 1.164 0.000 0.200 1.164 0.359 0.037 1.358 0.258 0.044 1.552 0.436 0.073 1.746 0.000 0.250 ************************************************************** GMp/Gd/mu_p ************************************************************** JLab I.A. Qattan et al., nucl-ex/0410010 Precision Rosenbluth note: extracted GEp, GMp, mu_p*GEp/GMp Q2 GMp/Gd/mu_p error(total) -------------------------------------------------------------------------- 2.64 1.053 0.015 3.20 1.048 0.015 4.10 1.031 0.015 ========================================================================== SLAC First published as P. E. Bosted et al., Phys Rev Lett 68, 3841 (1992). Revised numbers and errors in L. Andivahis et al., Phys. Rev. D 50, 5491 (1994)++ Below are from 2nd publication. The error here is the total error which is the statistical plus the systematic point-to-point. The overall normalization error of +-0.9% has NOT be added into the error. Q2 GMp/Gd/mu_p error(stat) error(total) -------------------------------------------------------------------------- 1.75 1.050 0.006 0.010 2.50 1.054 0.002 0.007 3.25 1.045 0.005 0.009 4.00 1.031 0.005 0.009 5.00 1.012 0.006 0.009 6.00 0.987 0.008 0.012 7.00 0.959 0.014 0.016 8.83 0.916 0.022 0.023 ========================================================================== SLAC First published as R. C. Walker et al., Phys Lett B 224, 353 (1989) with no table just graphs. Second publication as R.C. Walker et al., Phys Rev. D 49, 5671 (1994)++ error is the combined statistical and point-to-point systematic added in quadrature. Below are GMp/Gd/mu extracted from data from this experiment (from 1994 paper). In the paper is a tabulation of GMp/Gd/mu combining data from other experiments with this one. Q2 GMp/Gd/mu_p error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 1.000 1.017 0.027 0.015 0.010 2.003 1.014 0.017 0.009 0.010 2.497 1.030 0.016 0.010 0.010 3.007 1.012 0.020 0.010 0.010 ========================================================================== SLAC P.E.Bosted,et al.,Phys Rev C42,38-64,(1990) Q2 GMp/Gd/mu_p error(stat) error(syst) -------------------------------------------------------------------------- 0.49 0.978 0.006 0.016 0.62 0.988 0.004 0.016 0.83 0.998 0.002 0.015 1.01 1.021 0.009 0.016 1.08 1.028 0.006 0.015 1.17 1.016 0.002 0.016 1.23 1.017 0.014 0.016 1.31 1.016 0.003 0.016 1.45 1.028 0.004 0.015 1.61 1.023 0.003 0.015 1.74 1.015 0.004 0.015 ========================================================================== SLAC Sill et al., PRD 48, 29-55(1993) (First published as Arnold et al. PRL 57, 174 (1986)) Numbers below are from 2nd publication. Note that GMp/Gd/mu_p (and error(total)) were calculated from the numbers given in the paper (last three columns below). !!need to double check GMp/Gd/mu_p from 4.991-5.027 !! last three columns are correct js 6.23.3 Q2(GeV^2) GMp/Gd/mu_p error(total) Q^4GMp/mu_p error(stat) error(syst) -------------------------------------------------------------------------- 2.862 1.023 0.020 0.331 0.002 0.006 3.621 1.025 0.023 0.361 0.004 0.007 4.991 1.012 0.020 0.391 0.003 0.007 5.017 1.000 0.020 0.387 0.003 0.007 5.027 1.008 0.019 0.390 0.001 0.007 7.300 0.948 0.027 0.397 0.004 0.007 9.629 0.892 0.020 0.390 0.005 0.007 11.99 0.872 0.020 0.392 0.005 0.007 15.72 0.819 0.025 0.378 0.009 0.007 19.47 0.731 0.029 0.343 0.012 0.006 23.24 0.729 0.032 0.346 0.014 0.006 26.99 0.708 0.044 0.339 0.020 0.006 31.20 0.720 0.066 0.347 0.031 0.007 ========================================================================== Mainz F.Borkowski et al., Nucl Phys B93, 461-478,(1975) [Other references: Nucle Phys A222, 269-275,(1974) ] "The errors quoted are due to the random errors in the cross section and have been calculated from the error matrix of the fitting routine. Taking into account the overall normalization error of the cross sections would give rise to an additional uncertainty of 1.8% in the form factors." (Note that in their notation: GMp(0)=1) Q2 GMp/Gd/mu_p error(stat) -------------------------------------------------------------------------- 0.021 0.982 0.060 0.033 0.982 0.040 0.040 1.002 0.020 0.046 0.996 0.025 0.055 0.987 0.015 0.066 0.993 0.012 0.084 0.985 0.010 0.099 0.974 0.015 0.123 0.986 0.020 ========================================================================== DESY W. Bartel et al., Nuclear Physics B58, 429,(1973) Only GMp/gd/mu extracted from cross sections from this experiment is listed below. The data is not explicitly listed. In the paper is a tabulation of muGe/Gm extract by combining cross sections from other experiments with this experiment. Q2 GMp rel. error(%) GMp/Gd/mu_p error(total) -------------------------------------------------------------------------- 0.670 0.714 3.1 0.967 0.030 1.000 0.490 2.9 1.019 0.030 1.169 0.410 2.1 1.029 0.022 1.500 0.298 3.1 1.035 0.032 1.750 0.246 2.1 1.058 0.022 2.000 0.202 2.0 1.055 0.021 2.330 0.162 2.2 1.064 0.023 3.000 0.108 2.2 1.057 0.023 ========================================================================== Cambridge Electron Accelator K.M.Hanson(Harvard) et al., Phys Rev D, vol. 8, no. 3, 753-778,(1973) From e-d scattering Q2(fm-2) GMp rel. error(%) Q2(GeV/c)^2 GMp/Gd/mu_p error(total) -------------------------------------------------------------------------- 7.0 1.408 1.1 0.272 0.966 0.011 10.0 1.1336 0.9 0.389 0.974 0.009 15.0 0.8427 0.6 0.584 1.003 0.006 20.0 0.6477 1.0 0.779 1.020 0.010 30.0 0.4202 0.8 1.168 1.054 0.008 45.0 0.2480 1.1 1.752 1.069 0.012 ========================================================================== Cambridge Electron Accelerator(CEA) L.E.Price(Harvard University) et al., Phys Rev D4, 45-53,(1971) From ep scattering Q2 (GMp/Gd/mu)^2 error(total) GMp/gd/mu_p error(total) -------------------------------------------------------------------------- 0.130 0.947 0.080 0.973 0.016 0.190 0.949 0.042 0.974 0.009 0.270 0.934 0.045 0.966 0.012 0.330 0.956 0.021 0.978 0.006 0.390 0.949 0.022 0.974 0.007 0.450 0.964 0.020 0.982 0.007 0.530 0.972 0.026 0.986 0.011 0.580 1.007 0.009 1.003 0.004 0.650 1.017 0.013 1.008 0.006 0.720 1.006 0.014 1.003 0.008 0.780 1.041 0.008 1.020 0.005 0.940 1.027 0.006 1.013 0.004 1.100 1.110 0.0032 1.054 0.003 1.350 1.130 0.0024 1.063 0.003 1.750 1.142 0.0013 1.069 0.002 ========================================================================== Bonn Berger et al., Phys Letters 35B, 87-89, (1971) The shown errors are random errors only. In case of Ge and Gm, a normalization error of 2% has to be added. Q2 GMp/Gd/mu error(stat) -------------------------------------------------------------------------- 0.389 0.978 0.020 0.584 0.983 0.009 0.779 1.004 0.011 0.973 1.010 0.013 1.168 1.041 0.016 1.363 1.025 0.016 1.557 1.053 0.017 1.752 1.061 0.021 1.947 1.022 0.038 ************************************************************** GEn ************************************************************** Mainz D.I. Glazier et al., nucl-ex/0410026 Recoil Polarzation (A1 collaboration) D(e_vec, e'n_vec)p (note: error on Q^2 represents experimental acceptance) Q2 error GEn error error error (full corr.) (stat.) (+syst.) (-syst.) -------------------------------------------------------------------------- nn sample: ---------- 0.30 0.02 0.0520 0.0077 0.59 0.02 0.0408 0.0116 0.79 0.02 0.0545 0.0146 nn sample: ---------- 0.30 0.02 0.0607 0.0100 0.59 0.02 0.0500 0.0088 0.79 0.02 0.0420 0.0116 combined: ---------- 0.30 0.02 0.0552 0.0061 0.0018 0.0011 0.59 0.02 0.0477 0.0070 0.0019 0.0008 0.79 0.02 0.0468 0.0090 0.0025 0.0010 ========================================================================== JLab G. Warren et al., nucl-ex/0308021 d_vec(e_vec,e'n)p (polarized electrons on vector polarized deuterons) Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.5 0.0526 0.0033 0.0026 1.0 0.0454 0.0054 0.0037 ========================================================================== JLab R. Madey et al., (accepted by PRL) polarized e on Deuterium (polarization transfer) Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.447 0.0550 0.0060 0.0016 1.132 0.0394 0.0029 0.0012 1.450 0.0411 0.0035 0.0013 ========================================================================== Mainz J. Bermuth et al., (nucl-ex/0303015) polarized e on polarized 3He note: The published result (below) is a combination of the measurement made by Bermuth et al. (given in the paper), and the result from Rohe et al. (1999, below). Bermuth et al. conducted the experiment at the same Q^2 as Rohe et al. so that they could combine the results in order to reduce the statistical uncertainty in the result. Q2 GEn error(total) -------------------------------------------------------------------------- 0.67 0.0484 0.0071 ========================================================================== R. Schiavilla and I. Sick, Phys. Rev. C, 64, 041002-1 (Sep 11, 2001) Extracted GEn from the deuteron quadrupole form factor Q2 GEn error(total) -------------------------------------------------------------------------- 0.0097 0.00008 0.00512 0.0389 0.02059 0.01436 0.0875 0.04304 0.02378 0.156 0.06132 0.02842 0.243 0.06051 0.02453 0.350 0.05916 0.01559 0.477 0.05312 0.00916 0.623 0.04794 0.00762 0.788 0.04834 0.00849 0.973 0.05032 0.00877 1.177 0.04391 0.00958 1.401 0.03265 0.01147 1.644 0.03036 0.01247 ========================================================================== JLab Zhu et al., Phys Rev. Lett, Volume 87, Number 8, 081801 (Aug 20, 2001) asymmetry from polarized electrons off polarized (solid) target Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.495 0.04632 0.00616 0.00341 ========================================================================== Mainz J. Golak et. al., Phys. Rev. C 63, 034006 From 3He(e,e') (polarized beam and target). This is a re-analysis of the experiment of J. Becker et. al. in 1999 (see directly below). They give various values for GEn, but the ones listed here are there 'best' values from a full treatment of the final state interactions. Q2 GEn error(total) -------------------------------------------------------------------------- 0.30 0.0536 0.0039 0.35 0.0550 0.0044 0.40 0.0561 0.0050 mean: (weighted by errors) 0.35 0.0547 0.0025 ========================================================================== Mainz J. Becker et al., Eur. Phys J A6, 329-344(1999) From 3He(e,e'n) Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.35 0.0334 0.0033 0.0028 ========================================================================== Mainz C. Herberg et al.,Eur. Phys. J A5,131-135 (1999) From D(e,e'n) Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.15 0.0481 0.0065 0.0053 ========================================================================== Mainz M. Ostrick et al., Phys. Rev. Let. 83,276-279 (1999) From 2H(e,e'n)p Q2 GEn error(stat) error(+syst) error(-syst) -------------------------------------------------------------------------- 0.34 0.0611 0.0069 0.0069 0.0055 ========================================================================== NIKHEF(Amsterdam) I. Passchier et al., Phys. Rev. Let. 82, 4988-4991 (1999) From 2H(e,e'n)p Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.21 0.066 0.015 0.004 ========================================================================== Mainz D. Rohe et al.,Phys. Rev. Let. 83, 4257-4260 (1999) From 3He(e,e'n) Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.67 0.052 0.011 0.005 ========================================================================== Bates T. Eden et al., Phys. Rev. C 50, R1749-R1753 (1994) From 2H(e,e'n)1H Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.255 0.066 0.036 0.009 ========================================================================== Mainz M. Meyerhoff et al., Phys. Let. B 327, 201-207,(1994) From polarized 3He Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.31 0.035 0.012 0.005 ========================================================================== SLAC A. Lung et al., Phys. Rev. Let., 70, 718-721,(1993) From Quasielastic e-d scattering error(stat) is poin-to-point Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 1.75 -0.008 0.074 0.117 2.50 -0.050 0.074 0.142 3.25 0.164 0.154 0.252 4.00 0.235 0.269 0.356 ========================================================================== MIT-Bates C.E. Jones-Woodward et al.,Phys. Rev. C 44, R571-R574,(1991) from polarized 3He error(stat) are point-to-point Q2 GEn error(stat) error(syst) -------------------------------------------------------------------------- 0.16 0.070 0.100 0.035 ========================================================================== Cambridge Electron Accelator K.M.Hanson(Harvard) et al., Phys. Rev. D 8, 753-778,(1973) From e-d scattering Q2(fm^-2) GEn^2 error(total) Q2(GeV^2) GEn error(total) -------------------------------------------------------------------------- 7.0 0.0132 0.0090 0.272 0.220 0.075 10.0 0.0010 0.0045 0.389 0.076 0.171 15.0 0.0028 0.0072 0.584 0.176 0.226 20.0 0.0212 0.0046 0.779 0.640 0.069 30.0 0.0052 0.0028 1.168 0.504 0.136 45.0 0.0017 0.0024 1.752 0.496 0.350 ========================================================================== DESY W. Bartel et al., Phys. Let. B 39, 407-410 (1972) From quasielastic electron-deuteron scattering Q2 GEn^2 error(total) GEn error(total) -------------------------------------------------------------------------- 1.00 0.0045 0.0045 0.389 0.19 1.53 0.0021 0.0025 0.456 0.27 W. Bartel et al., Phys. Let. B 30, 285-288 (1969) From quasielastic electron-deuteron scattering Q2 GEn^2 error(total) GEn error(total) -------------------------------------------------------------------------- 0.39 -0.004 0.009 -0.152 0.17 0.565 -0.005 0.006 -0.228 0.14 ========================================================================== Cambridge R.J. Budnitz et al., Phys. Rev. 173 95, 1357-1390(1968) From quasielastic electron-deuteron scattering (see paper for notes on uncertainties - especially for high Q^2 points.) Q2 GEn^2 error(stat) error(syst) + - -------------------------------------------------------------------------- 0.2920 0.0 0.0065 0.015 0.011 0.3894 0.0 0.0062 0.009 0.009 0.5840 0.0 0.0055 0.005 0.005 0.7784 0.0062 0.0066 0.002 0.0025 1.168 0.0034 0.0050 0.0011 0.0011 1.752 0.0 0.008 0.008 0.008 ----see paper for details of points below: (assumption A are shown) 2.752 <0.0074 0.0088 3.894 <0.0051 0.0068 4.478 <0.0052 0.0075 6.814 <0.00094 0.0037 ========================================================================== JLAB Grossetete et al., Physical Review 141, no. 4, 1435-1440 (1966) Q2(fm^-2) Q2(GeV^2) GEn(GK) error(total) GEn(Hamada) error(total) -------------------------------------------------------------------------- 0.882 0.0343 0.033 0.013 0.029 0.013 1.000 0.0389 0.020 0.008 0.017 0.008 1.351 0.0526 0.027 0.009 0.024 0.009 ************************************************************** GMn/Gd/mu_n ************************************************************** JLAB W. Xu et. al., accepted by PRC rapid communications, (unpublished as of 12/11/2) He3(e,e') Polarized beam and target Q2 GMn/Gd/mu_n error(stat) error(syst) error(theo+) error(theo-) -------------------------------------------------------------------------- 0.3 0.972 0.014 0.016 0.026 0.054 0.4 0.984 0.011 0.028 0.028 0.025 0.5 0.984 0.009 0.024 0.028 0.013 0.6 1.010 0.013 0.027 0.013 0.014 ========================================================================== Mainz Kubon et al., nucl-ex0107016, 26 Jul, 2001 Q2 GMn/Gd/mu_n error(total) -------------------------------------------------------------------------- 0.071 0.990 0.013 0.125 0.967 0.013 0.359 0.989 0.014 0.894 1.062 0.017 ========================================================================== JLAB W. Xu et. al., Phys. Rev. Lett. 85, 2900 (2000) He3(e,e) Polarized beam and target Q2 GMn/Gd/mu_n error(stat) error(syst) -------------------------------------------------------------------------- 0.1 0.962 0.014 0.010 0.2 0.959 0.013 0.010 ========================================================================== Mainz H. Anklin,et al., Phys Lett B 428, 248-253(1998) From D(e,e'p) and D(e,e'n) (in tarball as 'FFR_Anklin.dat') Q2 GMn/Gd/mu_n error() -------------------------------------------------------------------------- 0.235 0.962 0.009 0.504 1.032 0.012 0.652 1.037 0.012 0.784 1.043 0.012 ========================================================================== ELSA at Physics Institute at Bonn E.E.W.Bruins,et al., Phys Rev Lett 75,21-24(1995) Refer to Comment on "Measurement of the Neutron Magnetic Form factor" J. Jourdan et al., Phys ReV Lett 79,5186(1997) and the reply on the next page. From D(e,e'p) and D(e,e'n) Q2 GMn/Gd/mu_n error(stat) error(syst) -------------------------------------------------------------------------- 0.125 1.020 0.018 0.015 0.255 1.076 0.019 0.013 0.417 1.135 0.033 0.017 0.605 1.104 0.014 0.032 ========================================================================== Mainz H. Anklin,et al., Phys Lett B336, 313-318(1994) From D(e,e'p) and D(e,e'n) (in tarball as 'FFR_Anklin2.dat') q(fm^-1) Q2(GeV^2) GMn/Gd/mu_n error() -------------------------------------------------------------------------- 1.69 0.111 0.957 0.016 ========================================================================== MIT-Bates H. Gao Nucl. Phys. A631 170c-189c, (1998) (reanalysis of H. Gao et al., Phys. Rev. C50, R546-R549 (1994)); polarized electron scattering from polarized 3He target. Q2 GMn/Gd/mu_n error(stat) error(syst) -------------------------------------------------------------------------- 0.19 0.931 0.051 0.026 ========================================================================== SLAC A. Lung et al., Phys Rev Lett 70,718-721,(1993) From Quasielastic e-d scattering Q2 GMn/Gd/mu_n error(stat) error(syst) -------------------------------------------------------------------------- 1.75 1.052 0.026 0.045 2.50 1.014 0.017 0.041 3.25 0.967 0.031 0.052 4.00 0.923 0.048 0.065 ========================================================================== MIT-Bates P.Markowitz et al., Phys Rev C48,R5-R9,(1993) From 2H(e,e'n)1H Q2 GMn/Gd/mu_n error(stat) error(syst) error(theo) -------------------------------------------------------------------------- 0.109 1.136 0.022 0.025 0.014 0.176 1.039 0.010 0.026 0.015 0.255 1.028 0.025 0.021 0.021 ========================================================================== SLAC R.G.Arnold et al., Phys Rev Lett 61,806-809,(1988) Fig.4 shows a lot of points of GMn of Q2 from 0.75 to 2.57 (Gev/c), but no table is given. From tranverse quasi-elastic electron scattering from the deuteron Q2 GMn/Gd/mu_n error() -------------------------------------------------------------------------- 1.00 0.943 0.086 1.31 0.990 0.100 1.58 0.900 0.143 1.74 1.050 0.076 ========================================================================== Khar'kov electron linear accelerator A.S.Esaulov et al., Sov. J. Nucl. Phys. v45,258-262,(1987) also see: Yad. Fiz. 45, 410-417,(1987) (The Soviet Journal of Nuclear Physics is now known as 'Physics of Atomic Nuclei') There are six values for each Q2. The neutron magnetic factors are sensitive to the form of the deuteron wave function and to the parametrization of the neutron electric from factor. The three choices of the forms of the wave function of deuteron are: Reid potential, Paris potential and Buch-Gross deuteron wave function. The two choices of the neutron electric form factor are -\mu\taoGd and zero. Here only the set of results for Paris potential and GEn=-\mu\taoGd are listed. From d(e,e')np Q2(GeV^2) GMn/Gd/mu_n error(stat) -------------------------------------------------------------------------- 0.482 0.941 0.048 0.545 1.037 0.043 0.608 1.285 0.035 0.646 1.156 0.035 0.692 1.121 0.038 0.832 1.079 0.044 ========================================================================== Cambridge Electron Accelator K.M.Hanson et al., Phys Rev D8, 753-778,(1973) From e-d scattering Q2(fm-2) GMn/GMp/mu_n*mu_p error() Q2(GeV^2) GMn/Gd/mu_n error() -------------------------------------------------------------------------- 7.0 0.9048 0.0594 0.272 0.874 0.057 10.0 1.0155 0.0275 0.389 0.989 0.025 15.0 0.9367 0.0579 0.584 0.940 0.058 20.0 0.7709 0.0569 0.779 0.787 0.058 30.0 0.9053 0.0414 1.168 0.954 0.043 45.0 0.9353 0.0708 1.752 0.999 0.075 ========================================================================== DESY W. Bartel et al., Phys Lett B39, 407-410(1972) From quasielastic electron-deuteron scattering Q2 GMn/Gd/mu_n error() -------------------------------------------------------------------------- 1.00 0.975 0.055 1.53 1.055 0.055 ========================================================================== DESY W. Bartel et al., Phys Lett B30, 285-288(1969) From quasielastic electron-deuteron scattering Q2 GMn^2 error() GMn/Gd/mu_n error() -------------------------------------------------------------------------- 0.390 0.620 0.060 0.990 0.10 0.565 0.365 0.030 1.020 0.08 ========================================================================== Cambridge R.J. Budnitz et al., Phys. Rev. 173 95, 1357-1390(1968) From quasielastic electron-deuteron scattering (see paper for notes on uncertainties) Q2 GMn error(stat) error(syst) + - + - -------------------------------------------------------------------------- 0.2920 0.964 0.023 0.023 0.039 0.045 0.3894 0.812 0.020 0.020 0.040 0.043 0.5840 0.637 0.019 0.019 0.027 0.029 0.7784 0.435 0.022 0.022 0.023 0.047 1.168 0.267 0.017 0.021 0.014 0.016 1.752 0.220 0.029 0.033 0.006 0.006 2.752 0.093 0.111 0.111 0.003 0.003 3.894 0.060 0.068 0.068 0.002 0.002 4.478 0.056 0.066 0.066 0.002 0.002 6.814 0.016 0.032 0.032 0.001 0.001 ========================================================================== DESY P. Stein et al. PRL Vol. 16 Num. 13, 592 (1966) From quasielastic electron-deuteron scattering Q2(fm^-2) Q2(GeV^2) GMn error(stat) GMn/Gd/mu error(stat) -------------------------------------------------------------------------- 10.0 0.389 -0.825 0.064 1.03 0.080 14.5 0.564 -0.638 0.042 1.08 0.071 ========================================================================== DESY Hughes et al., Physical Rev., Vol. 139, Num. 2B, 458-471 (26 July, 1965) Q2(fm^-2) Q2(GeV^2) GMn/mu error(stat) error(tot) GMn/Gd/mu_n error(stat) -------------------------------------------------------------------------- 1.0 0.039 1.360 0.290 0.355 1.51 0.323 1.5 0.058 0.931 0.049 0.112 1.09 0.057 2.5 0.097 0.948 0.028 0.084 1.22 0.036 4.6 0.180 0.701 0.024 0.070 1.10 0.038 7.5 0.290 0.496 0.013 0.051 0.984 0.026 10.0 0.389 0.432 0.011 0.042 1.04 0.026 12.5 0.486 0.382 0.016 0.042 1.08 0.045 15.0 0.584 0.331 0.015 0.038 1.10 0.050 20.0 0.778 0.249 0.031 0.049 1.09 0.140 25.0 0.973 0.224 0.026 0.040 1.26 0.105 30.0 1.170 0.156 0.028 0.041 1.09 0.200 ==========================================================================