Relationships among depolarizations in scattering of polarized protons fromHe3at intermediate energies

Abstract

We derive relation formulas for proton depolarizations in proton-$^{3}\mathrm{He}$ ($p\text{\ensuremath{-}}$$^{3}\mathrm{He}$) elastic scattering in a form that makes it easy to identify contributions of spin-dependent interactions. The formulas explain approximate relations found in the depolarizations measured at ${E}_{p}=800\phantom{\rule{0.3em}{0ex}}\text{MeV}$ when the magnitudes of scattering amplitudes due to $p\text{\ensuremath{-}}$$^{3}\mathrm{He}$ spin--spin and tensor interactions are small. This nature of the interactions is investigated from the viewpoint of folding models. It is shown that the spin--spin and tensor interactions are significantly diminished owing to characteristics of nucleon densities of $^{3}\mathrm{He}$, which are calculated from a solution of the Faddeev equation. A folding model calculation with the densities and a simple nuclear potential shows that the $p\text{\ensuremath{-}}$$^{3}\mathrm{He}$ spin--spin interaction is much weaker than the spin-independent central interaction.