Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)

Details Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4) Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)

2004-03-31

arxiv.org/abs/nucl-th/0403088v2

Nucl.Phys.A747:311-361,2005

Physics

Nuclear Physics

Nuclear Theory

57 pages, 16 figures. Substantial changes. Correction of errors in deuteron calculation results in different values for isosca

Scientific paper

10.1016/j.nuclphysa.2004.09.068

We study Compton scattering in systems with A=1 and 2 using chiral perturbation theory up to fourth order. For the proton we fit the two undetermined parameters in the O(Q^4) $\gamma$p amplitude of McGovern to experimental data in the region $\omega,\sqrt{|t|} \leq 180$ MeV, obtaining a chi^2/d.o.f. of 133/113. This yields a model-independent extraction of proton polarizabilities based solely on low-energy data: alpha_p=12.1 +/- 1.1 (stat.) +/- 0.5 (theory) and beta_p=3.4 +/- 1.1 (stat.) +/- 0.1 (theory), both in units of 10^{-4} fm^3. We also compute Compton scattering on deuterium to O(Q^4). The $\gamma$d amplitude is a sum of one- and two-nucleon mechanisms, and contains two undetermined parameters, which are related to the isoscalar nucleon polarizabilities. We fit data points from three recent $\gamma$d scattering experiments with a chi^2/d.o.f.=26.6/20, and find alpha_N=13.0 +/- 1.9 (stat.) +3.9/-1.5 (theory) and a beta_N that is consistent with zero within sizeable error bars.

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