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

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.

Comments: 4 pages, 4 figures