$^3_\eta He$ nucleus modeling in the frame optical potential model

TL;DR

This paper investigates the possibility of a quasi-bound eta-3He state using an optical potential model, concluding that such a state is unlikely and the observed anomalies are due to a virtual state instead.

Contribution

It provides a theoretical analysis of eta-3He interactions within the optical potential framework, clarifying the nature of low-energy anomalies.

Findings

Quasi-bound eta-3He state is unlikely to exist.

Observed anomalies are attributed to a virtual state.

The model aligns with existing scattering data.

Abstract

The conditions, at which quasi-bound $\eta-^{3}$He state is possible, have been investigated and compared with the available findings about $\eta$N-scattering length and the information about $^{3}$He nucleus from references. We conclud that the existence of quasi-bound $\eta-^{3}$He state within the framework of the optical potential model, which doesn`t contradict all collected findings, is not possible, but the observing anomaly of $\eta^{3}$He-interaction at low energies is a virtual state.