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

Abstract

Competitive effects of nuclear deformation and density dependence of $\Lambda\!N$-interaction in $\Lambda$ binding energies $B_\Lambda$ of hypernuclei are studied systematically on the basis of the baryon-baryon interaction model ESC including many-body effects. By using the $\Lambda\!N$ G-matrix interaction derived from ESC, we perform microscopic calculations of $B_\Lambda$ in $\Lambda$ hypernuclei within the framework of the antisymmetrized molecular dynamics under the averaged-density approximation. The calculated values of $B_\Lambda$ 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 $\Lambda\!N$-interaction work decisively for fine tuning of $B_\Lambda$ values.