Effects of isovector scalar $\delta$-meson on hypernuclei

Abstract

We analyze the effects of $\delta-$ meson on hypernuclei within the frame-work of relativistic mean field theory. The $\delta-$ meson is included into the Lagrangian for hypernuclei. The extra nucleon-meson coupling ($g_\delta$) affects the every piece of physical observables, like binding energy, radii and single particle energy of hypernuclei. The lambda mean field potential is investigated which is consistent with other predictions. Flipping of single particle energy levels are observed with the strength of $g_\delta$ in the considered hypernuclei as well as normal nuclei. The spin-orbit potentials are observed for considered hypernuclei and the effect of $g_\delta$ on spin-orbit potentials is also analyzed. The calculated single-$\Lambda$ binding energies ($B_\Lambda$) are quite agreeable with the experimental data.