Spin-isospin excitation of ${}^3$He with three-proton final state

TL;DR

This paper investigates the spin-isospin excitation of helium-3 via a proton-induced charge-exchange reaction, using theoretical models to calculate cross sections and compare with experimental data, highlighting the role of nucleon interactions.

Contribution

It introduces a theoretical framework combining PWIA and Faddeev calculations to analyze ${}^3$He spin-isospin excitations and compares results with experimental data.

Findings

Calculated cross sections agree with experimental data.

Uncertainty effects of proton-neutron amplitudes are examined.

Three-nucleon interactions influence the response functions.

Abstract

Spin-isospin excitation of ${}^3$He nucleus by proton-induced charge-exchange reaction, ${}^3\mathrm{He}(p,n)ppp$, at forward neutron scattering angle is studied in a plane wave impulse approximation (PWIA). In PWIA, cross sections of the reaction is written in terms of proton-neutron scattering amplitudes and response functions of the transition from ${}^{3}$He to three-proton state by spin-isospin transition operators. The response functions are calculated with realistic nucleon-nucleon potential models using a Faddeev three-body method. Calculated cross sections agree with available experimental data in substance. Possible effects arising from the uncertainty of proton-neutron amplitudes and three-nucleon interactions in three-proton system are examined.