Spin-Correlation Coefficients and Phase-Shift Analysis for p+$^3$He Elastic Scattering

TL;DR

This paper reports new measurements of spin-dependent observables in p+$^3$He elastic scattering at energies between 2 and 6 MeV, leading to a unique phase-shift solution and comparison with theoretical models.

Contribution

It provides the first comprehensive set of target spin-dependent measurements in this energy range and refines phase-shift analysis for p+$^3$He scattering.

Findings

Established a unique phase-shift solution for p+$^3$He scattering below 6 MeV.

Compared experimental phase-shifts with theoretical nucleon-nucleon potential models.

Enhanced understanding of spin-dependent interactions in few-nucleon systems.

Abstract

Angular Distributions for the target spin-dependent observables A$_{0y}$, A$_{xx}$, and A$_{yy}$ have been measured using polarized proton beams at several energies between 2 and 6 MeV and a spin-exchange optical pumping polarized $^3$He target. These measurements have been included in a global phase-shift analysis following that of George and Knutson, who reported two best-fit phase-shift solutions to the previous global p+$^3$He elastic scattering database below 12 MeV. These new measurements, along with measurements of cross-section and beam-analyzing power made over a similar energy range by Fisher \textit{et al.}, allowed a single, unique solution to be obtained. The new measurements and phase-shifts are compared with theoretical calculations using realistic nucleon-nucleon potential models.