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DOCTORAL THESIS - Michael H. Wood

Low Energy Proton-Deuteron Elastic Scattering and the "Ay Puzzle"

Doctoral thesis by Michael H. Wood
University of North Carolina at Chapel Hill, 2000

Abstract

Angular distributions of cross sections and complete sets of analyzing powers have been measured for d-p scattering at a center-of-mass energy of 667 +/- 1 keV. This set of high-precision data was compared to the most recent variational calculations with the nucleon-nucleon potential AV18 alone and with AV18 plus the UR three-nucleon potential. The calculations have the best agreement with the cross-section data while the comparison with the tensor analyzing powers showed good agreement. However, a comparison between the vector analyzing powers revealed differences of approximately 40% in the maxima of the angular distributions. These VAP discrepancies have been observed at Ec.m. > 2.0 MeV as well as in the n-d scattering case. After the n-d experiments, the problem has been labelled the ``Ay Puzzle''. A reduced chi-squared analysis was performed with the lowest values achieved by the inclusion of a three-nucleon force in the theoretical calculations. This fact provides more credence for the existence of three-nucleon forces. However, the reduced chi-squared for the VAPs remained approximately 100. To investigate the root of the problem in addition to other differences between the theory and the data, a single-energy phase shift analysis (PSA) was performed. The best fits to the VAP data displayed an ~20% increase in the the mixing parameter epsilon3/2 and an increase in the splitting between 4PJ phase shifts from the variational calculations with the AV18+UR potentials.


Here you can download the final version of my thesis, complete with figures: gzipped postscript (427 kb)

The pertinent results in my thesis can be found in:

Low-energy p-d scattering: High-precision data, comparisons with theory, and phase-shift analyses,
M. H. Wood, C. R. Brune, B. M. Fisher, H. J. Karwowski, D. S. Leonard, E. J. Ludwig, A. Kievsky, S. Rosati, and M. Viviani, Phys. Rev. C 65, 034002, 8 pages (2002).


Mail:mikewood@jlab.org
Last updated February 10, 2002.