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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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4 pages, 4 figures

Scientific paper

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.

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