Pi0 studies

Fig.1 Left: Energy_gamma vs Energy_PI0; Right: invMass vs Energy_Pi0.
E>0.3 GeV cut is nessesary!


Fig. Deuterium. GAUS+POL4 FIT in LIMITS 0.01-0.29; N pi0 and sigma of Pi0 for some bins in Z

Fig. Deuterium. GAUS+POL4 FIT in LIMITS 0.01-0.29 ; Dividing into Pi0 Energy bins in each of z bins. E1-E6: 0.3-0.6-0.7-0.75-0.85-1.2-rest


Compare Npi0 for Intergrated over E case(Fig.a) and Summed over E(Fig.b). Deuterium:
z0: Summed Npi0 = 217206 +/- 2092.24 (relative error 0.96325% compare to pure statistics 0.214568%)
z0: Integr Npi0 = 204501 +/- 2447.38 (relative error 1.19676% compare to pure statistics 0.221132%)

z1: Summed Npi0 = 248980 +/- 1922.3 (relative error 0.772072% compare to pure statistics 0.200409%)
z1: Integr Npi0 = 222113 +/- 2081.43 (relative error 0.937106% compare to pure statistics 0.212184%)

z2: Summed Npi0 = 247616 +/- 1676.52 (relative error 0.677066% compare to pure statistics 0.200961%)
z2: Integr Npi0 = 224050 +/- 1797.84 (relative error 0.802426% compare to pure statistics 0.211265%)

z3: Summed Npi0 = 228511 +/- 1369.06 (relative error 0.599122% compare to pure statistics 0.209193%)
z3: Integr Npi0 = 211230 +/- 1509.63 (relative error 0.714684% compare to pure statistics 0.217581%)

z4: Summed Npi0 = 197680 +/- 1148.06 (relative error 0.580767% compare to pure statistics 0.224915%)
z4: Integr Npi0 = 185161 +/- 1274.06 (relative error 0.688083% compare to pure statistics 0.232394%)

z5: Summed Npi0 = 160327 +/- 975.754 (relative error 0.608604% compare to pure statistics 0.249745%)
z5: Integr Npi0 = 152448 +/- 1077.84 (relative error 0.707023% compare to pure statistics 0.256117%)


Fig. Carbon. GAUS+POL4 FIT in LIMITS 0.01-0.29; N pi0 and sigma of Pi0 for some bins in Z

Fig. Carbon. GAUS+POL4 FIT in LIMITS 0.01-0.29; N pi0 and sigma of Pi0 for some bins in Z

Compare Npi0 for Intergrated over E case(Fig.a) and Summed over E(Fig.b). Deuterium:
z0: Summed Npi0 = 167715 +/- 1814.87 (relative error 1.08211% compare to pure statistics 0.244182%)
z0: Integr Npi0 = 150838 +/- 1985.94 (relative error 1.31661% compare to pure statistics 0.257481%)

z1: Summed Npi0 = 185532 +/- 1610.8 (relative error 0.868209% compare to pure statistics 0.232162%)
z1: Integr Npi0 = 163706 +/- 1711.58 (relative error 1.04552% compare to pure statistics 0.247154%)

z2: Summed Npi0 = 183652 +/- 1349.12 (relative error 0.734607% compare to pure statistics 0.233347%)
z2: Integr Npi0 = 166672 +/- 1411.97 (relative error 0.847157% compare to pure statistics 0.244945%)

z3: Summed Npi0 = 164409 +/- 1209.58 (relative error 0.735714% compare to pure statistics 0.246625%)
z3: Integr Npi0 = 155015 +/- 1463.69 (relative error 0.944222% compare to pure statistics 0.253988%)

z4: Summed Npi0 = 143692 +/- 979.608 (relative error 0.681742% compare to pure statistics 0.263805%)
z4: Integr Npi0 = 135473 +/- 1091.9 (relative error 0.805985% compare to pure statistics 0.27169%)

z5: Summed Npi0 = 114364 +/- 818.374 (relative error 0.715587% compare to pure statistics 0.295703%)
z5: Integr Npi0 = 108822 +/- 902.427 (relative error 0.829265% compare to pure statistics 0.303138%)



Fig.5a Background MIXING for Fig.6a, 7a

Fig.5b Background MIXING for Fig.6b,7b : Panel 6x1 represents each of six bins in E; each panel is for z bin


Fig.6a D(C). FIT: GAUS + POL4 EVENT MIXING BACK; N pi0 and sigma of Pi0 for Zbins 1-5:

Fig.6bD(C) FIT: GAUS+POL4 EVENT MIXING BACK; Dividing into Pi0 Energy bins

Compare Npi0 for Intergrated over E case(6a) and Summed over E(6b). Deuterium:
z0: Summed Npi0 = 230960 +/- 1466.99 (relative error 0.635172% compare to pure statistics 0.208081%)
z0: Integr Npi0 = 226982 +/- 1432.39 (relative error 0.631059% compare to pure statistics 0.209896%)

z1: Summed Npi0 = 251870 +/- 1327.9 (relative error 0.527214% compare to pure statistics 0.199256%)
z1: Integr Npi0 = 248742 +/- 1308.82 (relative error 0.526177% compare to pure statistics 0.200505%)

z2: Summed Npi0 = 252315 +/- 1174.06 (relative error 0.465315% compare to pure statistics 0.19908%)
z2: Integr Npi0 = 244237 +/- 1166.58 (relative error 0.477642% compare to pure statistics 0.202346%)

z3: Summed Npi0 = 229623 +/- 1029.55 (relative error 0.448366% compare to pure statistics 0.208686%)
z3: Integr Npi0 = 226920 +/- 1029.37 (relative error 0.453625% compare to pure statistics 0.209925%)

z4: Summed Npi0 = 197592 +/- 896.731 (relative error 0.453829% compare to pure statistics 0.224965%)
z4: Integr Npi0 = 196679 +/- 897.564 (relative error 0.45636% compare to pure statistics 0.225487%)

z5: Summed Npi0 = 161079 +/- 772.557 (relative error 0.479615% compare to pure statistics 0.249162%)
z5: Integr Npi0 = 160948 +/- 773.083 (relative error 0.480331% compare to pure statistics 0.249263%)


Fig.7a CARBON. FIT: GAUS + POL4 EVENT MIXING BACK; N pi0 and sigma of Pi0 for Zbins 1-5:

Fig.7bD(C) FIT: GAUS+POL4 EVENT MIXING BACK; Dividing into Pi0 Energy bins

CompareNpi0 for Intergrated over E case(7a) and Summedover E(7b):
z0: Summed Npi0 = 177869 +/- 1261.99 (relative error 0.709505% compare to pure statistics 0.23711%)
z0: Integr Npi0 = 175034 +/- 1236.31 (relative error 0.706324% compare to pure statistics 0.239023%)

z1:Summed Npi0 = 193206 +/- 1059.98 (relative error 0.548627% compare to pure statistics 0.227504%)
z1:Integr Npi0 = 190167 +/- 1048.14 (relative error 0.551165% compare to pure statistics 0.229315%)

z2: Summed Npi0 = 187671 +/- 989.779 (relative error 0.5274% compare to pure statistics 0.230835%)
z2: Integr Npi0 = 182023 +/- 983.766 (relative error 0.540463% compare to pure statistics 0.234389%)

z3: Summed Npi0 = 168190 +/- 870.29 (relative error 0.517445% compare to pure statistics 0.243837%)
z3: Integr Npi0 = 166172 +/- 873.588 (relative error 0.525712% compare to pure statistics 0.245313%)

z4: Summed Npi0 = 142929 +/- 756.175 (relative error 0.529056% compare to pure statistics 0.264509%)
z4: Integr Npi0 = 142288 +/- 757.094 (relative error 0.532085% compare to pure statistics 0.265104%)

z5: Summed Npi0 = 116893 +/- 652.308 (relative error 0.55804% compare to pure statistics 0.292487%)
z5: Integr Npi0 = 116862 +/- 652.903 (relative error 0.558693% compare to pure statistics 0.292525%)

Fig.8 Given above results for Pol4 background with: constrained parameters and fixed from event mixing parameters,
let us construct the ratio of Npi0(C/D) for the case of background integrated over E (green points) and
backgound summed over Energy bins. Left - Pol4 w/ constrained parameters, RIGHT - POl4 from fixed param.



LEFT plot multiplicities:
z0: R_int = 0.772147 +/- 0.00250994;R_sum = 0.737591 +/- 0.00250342
z1: R_int = 0.745168 +/- 0.00228541;R_sum = 0.737039 +/- 0.00240084
z2: R_int = 0.741681 +/- 0.00228404;R_sum = 0.743905 +/- 0.00240629
z3: R_int = 0.71948 +/- 0.00232677; R_sum = 0.733868 +/- 0.00245437
z4: R_int = 0.726892 +/- 0.00251992; R_sum = 0.73165 +/- 0.00261581
z5: R_int = 0.713317 +/- 0.00276094; R_sum = 0.71383 +/- 0.00283283

RIGHT plot multiplicities:
z0: R_int = 0.770129 +/- 0.00242949; R_sum = 0.771136 +/- 0.00245299
z1: R_int = 0.767086 +/- 0.00231987; R_sum = 0.764515 +/- 0.00232879
z2: R_int = 0.743796 +/- 0.00226727; R_sum = 0.745272 +/- 0.00230772
z3: R_int = 0.732461 +/- 0.0023508 ; R_sum = 0.732293 +/- 0.00236438
z4: R_int = 0.723354 +/- 0.00251176; R_sum = 0.723453 +/- 0.00251783
z5: R_int = 0.725687 +/- 0.00278828; R_sum = 0.726085 +/- 0.0027905




Breit-Wigner, Voigt, Gaus fits

Fig.9a Breit-Wigner:

Fig.9b Gaus

Fig.9c Voigt

Fig.