Effects of tensor interaction on pseudospin energy splitting and shell correction

J. M. Dong, W. Zuo, J. Z. Gu, Y. Z. Wang, L. G. Cao, and X. Z. Zhang

Phys. Rev. C 84, 014303 – Published 6 July 2011

Abstract

In the framework of a Skyrme-Hartree-Fock approach combined with Bardeen-Cooper-Schrieffer (BCS) method, the role of the tensor force on the pseudospin energy splitting for tin isotope chain is investigated. The tensor force turns out to obviously affect the pseudospin energy splitting of the spin-unsaturated nuclei. Since the tensor force shifts the single-particle levels, it modifies the single-particle level density and the shell correction energy thereof. The influence of the tensor interaction on shell correction energy is considerable according to our analysis taking a magic nucleus ${}^{132}{Sn}$ as well as a superheavy nucleus $^{298} 114$ as examples. This modification of the shell correction energy due to the tensor component affects the stability of the superheavy nuclei.

Received 28 December 2010

DOI:https://doi.org/10.1103/PhysRevC.84.014303

Authors & Affiliations

J. M. Dong^1,2,3,4,5, W. Zuo^1,2,5,6,*, J. Z. Gu^4,6,†, Y. Z. Wang⁴, L. G. Cao², and X. Z. Zhang⁴

¹Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
²Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
³Graduate University of Chinese Academy of Sciences, Beijing 100049, China
⁴China Institute of Atomic Energy, P. O. Box 275(10), Beijing 102413, China
⁵School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
⁶Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

^*zuowei@impcas.ac.cn
^†gujianzhong2000@yahoo.com.cn

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Vol. 84, Iss. 1 — July 2011

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Physical Review C

covering nuclear physics