Quest for magicity in hypernuclei

Abstract

In the present study, we search the [Formula: see text] magic number in hypernuclei within the framework of relativistic mean field (RMF) theory with inclusion of hyperon–nucleon and hyperon–hyperon potentials. Based on one- and two-lambda separation energy and two-lambda shell gaps, 2, 8, 14, 18, 20, 28, 34, 40, 50, 58, 68, 70 and 82 are suggested to be the [Formula: see text] magic numbers within the present approach. The relative weak strength of [Formula: see text] spin–orbit interaction is responsible for emerging the new lambda shell closures other than the model scheme. The predicted hypernuclear magicity quite resembles with nuclear magicity. In addition, the stability of hypernuclei is also examined by calculating the binding energy per particle, where Ni hypernucleus is found to be most tightly bound triply magic system in considered hypernuclei. Further, nucleon and lambda density distributions are analyzed and it is found that introduced [Formula: see text]’s have significant impact on total density and reduce the central depletion of the core nucleus. Nucleon and lambda spin–orbit interaction potentials are also investigated for predicted triply magic hypernuclei and the addition of [Formula: see text]’s affect both the potentials to a large extent. The single-particle energy levels are analyzed to explain the shell gaps for triply magic multi-[Formula: see text] hypernuclei.