Possible dual bubble-like structure predicted by the relativistic Hartree–Bogoliubov model

Experimental observation of [Formula: see text]Si as a proton bubble nuclei has heated up the interest in the study of exotic bubble shaped nuclei. In this work, some of the potential doubly bubble-like (for proton as well as neutron both simultaneously) cases have been explored using relativistic Hartree–Bogoliubov (RHB) in light mass region, specially around N or [Formula: see text]. Further, the role of pairing and the evolution of new shell gaps around [Formula: see text] or [Formula: see text] and 34 have been investigated, as one moves toward drip lines. This study suggests that the occupancies/vacancies of neutron/proton orbitals for lower angular momentum state plays major role in nuclear structure to create bubble-like structure and [Formula: see text]O[Formula: see text], [Formula: see text]Mg8 and [Formula: see text]Si[Formula: see text] may have dual bubble-like structures.

Quest for magicity in hypernuclei

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.

EFFECT OF TENSOR INTERACTION ON HEAVY AND SUPERHEAVY NUCLEI

The effect of tensor interaction is discussed on the deformation and the shell structure of heavy and superheavy nuclei within the deformed Skyrme Hartree-Fock+BCS model. The importance of the tensor correlations is shown for the single particle spectra of protons in 249 Bk . The large shell gaps of superheavy nuclei are found at Z = 114 and Z = 120 for protons and N = 184 for neutrons with the spherical shape irrespective of the tensor correlations. It is also shown that Z = 114 and N = 164 shell gaps are more pronounced by the tensor correlations in the case of SLy 5+ T interaction.