Evolution of deformations in medium-mass nuclei

Abstract

Evolution of quadrupole deformations in $sd$ and $pf$ shell nuclei with mass A= 18$\sim$56 is studied by using deformed Skyrme Hartree-Fock (HF) model with pairing correlations. We point out that the quadrupole deformations of the nuclei with the isospin T=0 and T=1 show strong mass number dependence as a clear manifestation of dynamical evolution of deformation in nuclear many-body systems. The competition between the deformation driving particle-vibration coupling and the closed shell structure is shown in a systematic study of the ratios between the proton and neutron deformations in nuclei with T=$|$T${}_z|$=1. Calculated quadrupole and hexadecapole deformations are compared with shell model results and available experimental data. A relation between the skin thickness and the intrinsic Q${}_2$ moments is also discussed.

26 pages, 8figures

References in corpus (7)

• Nuclear Ground-State Masses and Deformations
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Shell Model Description of Isotope Shifts in Calcium
• Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of S32, Ar36, Ar38 and Ca40
• Extensive Hartree-Fock + BCS calculation with Skyrme SIII force
• Prolate dominance of nuclear shape caused by a strong interference between the effects of spin-orbit and l^2 terms of the Nilsson potential
• Cranked Skyrme-Hartree-Fock calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei from 32S to 48Cr

Cited by in corpus (1)

• Transition properties of low-lying states in ${}^{28}$Si probed via inelastic proton and alpha scattering