Calculation of the Coupling Constant for Deuteron Exchange inp−He3Scattering

Abstract

A simple extrapolation technique is used to determine the normalization $C$ of the proton-deuteron tail of the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ wave function. With a wave function calculated using the Faddeev equations and the Reid soft-core potential we find ${\mathrm{}\left|C\right|\mathrm{}}^2\approx 2.8$, in fair agreement with the value ${\mathrm{}\left|C\right|\mathrm{}}^2\approx 2.2\pm 0.3$ estimated by Bolsterli and Hale in a modified phase-shift analysis of $p-{}_{}{}^3{}_{}{}^{}\mathrm{He}$ elastic scattering data.