Competitive effects of nuclear deformation and density dependence of $Λ\!N$ interaction

Competitive effects of nuclear deformation and density dependence of $Λ\!N$-interaction in $Λ$ binding energies $B_Λ$ of hypernuclei are studied systematically on the basis of the baryon-baryon interaction model ESC including many-body effects. By using the $Λ\!N$ G-matrix interaction derived from ESC, we perform microscopic calculations of $B_Λ$ in $Λ$ hypernuclei within the framework of the antisymmetrized molecular dynamics under the averaged-density approximation. The calculated values of $B_Λ$ reproduce experimental data within a few hundred keV in the wide mass regions from 9 to 51. It is found that competitive effects of nuclear deformation and density dependence of $Λ\!N$-interaction work decisively for fine tuning of $B_Λ$ values.

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