Mirror energy difference and the structure of loosely bound proton-rich nuclei around $A=20$

Mirror energy difference and the structure of loosely bound proton-rich nuclei around $A = 20$

Cenxi Yuan, Chong Qi, Furong Xu, Toshio Suzuki, and Takaharu Otsuka

Phys. Rev. C 89, 044327 – Published 30 April 2014

Abstract

The properties of loosely bound proton-rich nuclei around $A = 20$ are investigated within the framework of the nuclear shell model. In these nuclei, the strength of the effective interactions involving the loosely bound proton $s_{1 / 2}$ orbit is significantly reduced in comparison with that of those in their mirror nuclei. We evaluate the reduction of the effective interaction by calculating the monopole-based-universal interaction ( $V_{MU}$ ) in the Woods-Saxon basis. The shell-model Hamiltonian in the $s d$ shell, such as USD, can thus be modified to reproduce the binding energies and energy levels of the weakly bound proton-rich nuclei around $A = 20$ . The effect of the reduction of the effective interaction on the structure and decay properties of these nuclei is also discussed.

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Received 14 April 2013
Revised 31 March 2014

DOI:https://doi.org/10.1103/PhysRevC.89.044327

Authors & Affiliations

Cenxi Yuan^1,2, Chong Qi³, Furong Xu^2,*, Toshio Suzuki^4,5, and Takaharu Otsuka^6,7,8

¹Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-Sen University, Zhuhai 519082, China
²State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
³Royal Institute of Technology, AlbaNova University Center, SE-10691 Stockholm, Sweden
⁴Department of Physics, College of Humanities and Sciences, Nihon University, Sakurajosui 3, Setagaya-ku, Tokyo 156-8550, Japan
⁵National Astronomical Observatory of Japan, Mitaka, Tokyo 181-8588, Japan
⁶Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
⁷Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
⁸National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA

^*frxu@pku.edu.cn

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Issue

Vol. 89, Iss. 4 — April 2014

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Physical Review C

covering nuclear physics