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

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The necessary conditions of quasi-bound state formation of $η$-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 $η$N-scattering length. Thus, we have conclude that within the framework of discussed model $η-^{3}$He quasi-bound state formation is not possible, but $η-^{4}$He quasi-bound state formation is possible with the great probability.
4 pages, 4 figures

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