Beyond Wigner's isobaric multiplet mass equation: Effect of charge-symmetry-breaking interaction and Coulomb polarization

J. M. Dong, J. Z. Gu, Y. H. Zhang, W. Zuo, L. J. Wang, Yu. A. Litvinov, and Y. Sun
Phys. Rev. C 99, 014319 – Published 25 January 2019

Abstract

The quadratic form of the isobaric multiplet mass equation (IMME), which was originally suggested by Wigner and has been generally regarded as valid, is seriously questioned by recent high-precision nuclear mass measurements. The usual resolution to this problem is to add empirically the cubic and quartic Tz terms to characterize the deviations from the IMME, but finding the origin of these terms remains an unsolved difficulty. Based on a strategy beyond Wigner's first-order perturbation, we derive explicitly the cubic and quartic Tz terms. These terms are shown to be generated by the effective charge-symmetry-breaking and charge-independence-breaking interactions in the nuclear medium combined with the Coulomb polarization effect. Calculations for the sd and lower fp shells explore a systematic emergence of the cubic Tz term, suggesting a general deviation from the original IMME. Intriguingly, the magnitude of the deviation exhibits an oscillation-like behavior with mass number, modulated by the shell effect.

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  • Received 19 September 2018

DOI:https://doi.org/10.1103/PhysRevC.99.014319

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

J. M. Dong1,*, J. Z. Gu2, Y. H. Zhang1, W. Zuo1,3,†, L. J. Wang4, Yu. A. Litvinov5, and Y. Sun6,7,1,‡

  • 1Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 2China Institute of Atomic Energy, P.O. Box 275(10), Beijing 102413, China
  • 3School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China
  • 4Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27516-3255, USA
  • 5GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany
  • 6School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 7Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China

  • *dongjm07@impcas.ac.cn
  • zuowei@impcas.ac.cn
  • sunyang@sjtu.edu.cn

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Vol. 99, Iss. 1 — January 2019

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