Weak capture of protons by protons

Details Weak capture of protons by protons Weak capture of protons by protons

1998-08-06

arxiv.org/abs/nucl-th/9808010v1

Phys.Rev.C58:1263,1998

Physics

Nuclear Physics

Nuclear Theory

17 pages RevTeX (twocolumn), 5 postscript figures

Scientific paper

10.1103/PhysRevC.58.1263

The cross section for the proton weak capture reaction $^1H(p,e^+\nu_e)^2H$ is calculated with wave functions obtained from a number of modern, realistic high-precision interactions. To minimize the uncertainty in the axial two-body current operator, its matrix element has been adjusted to reproduce the measured Gamow-Teller matrix element of tritium $\beta$ decay in model calculations using trinucleon wave functions from these interactions. A thorough analysis of the ambiguities that this procedure introduces in evaluating the two-body current contribution to the pp capture is given. Its inherent model dependence is in fact found to be very weak. The overlap integral $\Lambda^2(E=0)$ for the pp capture is predicted to be in the range 7.05--7.06, including the axial two-body current contribution, for all interactions considered.

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