The possibility of quasi-bound state formation of $\eta$-meson with helium isotopes

TL;DR

This paper investigates the potential for forming quasi-bound states of the eta meson with helium isotopes using an optical potential model, concluding that such states are likely with helium-4 but not with helium-3.

Contribution

The study identifies the conditions for eta meson quasi-bound state formation with helium isotopes and compares these with nuclear densities and scattering data.

Findings

Eta-3He quasi-bound state formation is unlikely.

Eta-4He quasi-bound state formation is probable.

Conditions depend on nuclear densities and scattering lengths.

Abstract

The necessary conditions of quasi-bound state formation of $\eta$-meson with isotopes $^{3}$He, $^{4}$He have been found within the framework of optical potential model. These conditions have been compared with the findings about helium nucleus densities and with the available information about $\eta$N-scattering length. Thus, we have conclude that within the framework of discussed model $\eta-^{3}$He quasi-bound state formation is not possible, but $\eta-^{4}$He quasi-bound state formation is possible with the great probability.