Relativistic Mean-Field and Beyond Approaches for Deformed Hypernuclei

Abstract

We report the recent progress in relativistic mean-field (RMF) and beyond approaches for the low-energy structure of deformed hypernuclei. We show that the $\Lambda$ hyperon with orbital angular momentum $\ell =0$ (or $\ell >1$) generally reduces (enhances) nuclear quadrupole collectivity. The beyond mean-field studies of hypernuclear low-lying states demonstrate that there is generally a large configuration mixing between the two components ${[}^{A-1}Z(I^{+})\otimes \Lambda p_{1/2}{]}^J$ and ${[}^{A-1}Z(I\pm 2^{+})\otimes \Lambda p_{3/2}{]}^J$ in the hypernuclear $1/2_1^{-},3/2_1^{-}$ states. The mixing weight increases as the collective correlation of nuclear core becomes stronger. Finally, we show how the energies of hypernuclear low-lying states are sensitive to parameters in the effective $N\Lambda$ interaction, the uncertainty of which has a large impact on the predicted maximal mass of neutron stars.

arXiv comment12 pages, 7 figures. A plenary talk given at the 13th International Conference on Hypernuclear and Strange Particle Physics, June 24-29, 2018, Portsmouth, VA

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