Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation

J. Xiang (向剑), Z. P. Li (李志攀), J. M. Yao (尧江明), W. H. Long (龙文辉), P. Ring, and J. Meng (孟杰)

Phys. Rev. C 88, 057301 – Published 12 November 2013

Abstract

Low-lying nuclear states of Sm isotopes are studied in the framework of a collective Hamiltonian based on covariant energy density functional theory. Pairing correlations are treated by both BCS and Bogoliubov methods. It is found that the pairing correlations deduced from relativistic Hartree-Bogoliubov (RHB) calculations are generally stronger than those deduced by relativistic mean field plus BCS ( $RMF + BCS$ ) with the same pairing force. By simply renormalizing the pairing strength, the diagonal part of the pairing field is changed in such a way that the essential effects of the off-diagonal parts of the pairing field neglected in the $RMF + BCS$ calculations can be recovered, and consequently the low-energy structure is in a good agreement with the predictions of the RHB model.

Received 30 July 2013

DOI:https://doi.org/10.1103/PhysRevC.88.057301

Authors & Affiliations

J. Xiang (向剑)

School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China and School of Physical Science and Technology, Southwest University, Chongqing 400715, China

Z. P. Li (李志攀)

School of Physical Science and Technology, Southwest University, Chongqing 400715, China

J. M. Yao (尧江明)

School of Physical Science and Technology, Southwest University, Chongqing 400715, China and Department of Physics, Tohoku University, Sendai 980-8578, Japan

W. H. Long (龙文辉)

School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China

P. Ring

Physik-Department der Technischen Universität München, D-85748 Garching, Germany and State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

J. Meng (孟杰)^*

State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China; School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China; and Department of Physics, University of Stellenbosch, Stellenbosch, South Africa

^*mengj@pku.edu.cn

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Vol. 88, Iss. 5 — November 2013

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Physical Review C

covering nuclear physics