Moments of inertia in light deformed nuclei: pairing and mean-field impacts

Fuente: arXiv
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Main Authors: Nesterenko, V. O., Mardyban, M. A., Reinhard, P. -G., Repko, A., Kvasil, J.
Format: Preprint
Published: 2023
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author Nesterenko, V. O.
Mardyban, M. A.
Reinhard, P. -G.
Repko, A.
Kvasil, J.
author_facet Nesterenko, V. O.
Mardyban, M. A.
Reinhard, P. -G.
Repko, A.
Kvasil, J.
contents The dependence of the moment of inertia $\cal J$ on the pairing and axial quadrupole deformation $β$ in $^{24}$Mg and $^{20}$Ne was investigated. The study is based on quadrupole-constrained calculations with three cranking approaches for $\cal J$ (Inglis-Belyaev, Thouless-Valatin, adiabatic time-dependent Hartree-Fock) and a representative set of Skyrme forces (SVbas, SkM*, SLy6). At variance with macroscopic collective models, the calculations predict the specific regime $d{\cal J}/dβ<0$ at $β\ge 0.5$ ($^{24}$Mg) and $β\ge 0.6$ ($^{20}$Ne), where the pairing breaks down. This regime is explained by two effects: full break up of the pairing and specific evolution of a {\it single} dominant particle-hole (1ph) configuration with $β$. The analysis of experimental data for the ground-state rotational bands in $^{24}$Mg and $^{20}$Ne shows that such regime is possible at low spins.
format Preprint
id arxiv_https___arxiv_org_abs_2304_10873
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Moments of inertia in light deformed nuclei: pairing and mean-field impacts
Nesterenko, V. O.
Mardyban, M. A.
Reinhard, P. -G.
Repko, A.
Kvasil, J.
Nuclear Theory
Nuclear Experiment
The dependence of the moment of inertia $\cal J$ on the pairing and axial quadrupole deformation $β$ in $^{24}$Mg and $^{20}$Ne was investigated. The study is based on quadrupole-constrained calculations with three cranking approaches for $\cal J$ (Inglis-Belyaev, Thouless-Valatin, adiabatic time-dependent Hartree-Fock) and a representative set of Skyrme forces (SVbas, SkM*, SLy6). At variance with macroscopic collective models, the calculations predict the specific regime $d{\cal J}/dβ<0$ at $β\ge 0.5$ ($^{24}$Mg) and $β\ge 0.6$ ($^{20}$Ne), where the pairing breaks down. This regime is explained by two effects: full break up of the pairing and specific evolution of a {\it single} dominant particle-hole (1ph) configuration with $β$. The analysis of experimental data for the ground-state rotational bands in $^{24}$Mg and $^{20}$Ne shows that such regime is possible at low spins.
title Moments of inertia in light deformed nuclei: pairing and mean-field impacts
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2304.10873