Eur. Phys. J. A (2018) 54: 193
https://doi.org/10.1140/epja/i2018-12620-5

Regular Article - Theoretical Physics

Effects of deformation, pairing and tensor correlation on the evolution of bubble structure within the Skyrme-Hartree-Fock method

¹ Department of Physics, East China Normal University, 200241, Shanghai, China
² Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, 361005, Xiamen, China
³ School of Physics and Optoelectronic Engineering, Xidian University, 710071, Xi’an, China
⁴ RIKEN, Nishina Center, 351-0198, Wako, Japan
⁵ Center for Mathematics and Physics, University of Aizu, Aizu-Wakamatsu, 965-8580, Fukushima, Japan

^* e-mail: xrzhou@phy.ecnu.edu.cn

Received: 5 June 2018
Accepted: 24 September 2018
Published online: 19 November 2018

Abstract

We study the effects of deformation, tensor and pairing correlation on the evolution of bubble structure in ⁴⁶Ar, ²²O and Cl isotopes using a deformed Skyrme-Hartree-Fock model with BCS and Lipkin-Nogami number projection approximation. The parameter SLy5 of the Skyrme energy functionals is adopted together with various kinds of density-dependent pairing interaction and various kinds of tensor interaction. In the spherical case, considering pairing correlation (IS + IV) or switch off pairing, there is a clear bubble structure in ⁴⁶Ar with interaction SLy5 + Tw, respectively. For ⁴⁶Ar, we find that deformation weakens the bubble structure strongly, and pairing correlation also weakens the bubble in ⁴⁶Ar and ²²O , respectively. On the other hand, the SLy5 + Tw + IS + IV interaction evolves the bubble structure of neutron-rich Cl isotopes ^43-47Cl in deformed cases because the occupation probability of states decreases from 1 to 0.5.