Isospin Non-Conservation in Shell Model Approach and Applications*
Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
2 CENBG, CNRS/IN2P3 and Université de Bordeaux, Chemin du Solarium, 33175 Gradignan cedex, France
Published online: 16 May 2018
Up to now, empirical shell-model Hamiltonians for valence space calculations provide the most accurate description of the low-energy spectra and individual transitions of sd- and pf-shell nuclei. These features made them of particular importance for the description of the isospin-symmetry-breaking phenomena, such as energy splitting of the isobaric multiplets or isospin-forbidden transition rates. In this contribution, we demonstrate the applications of a recently constructed isospin non-conserving (INC) Hamiltonian in sd shell [Lam et al. Phys. Rev. C 87, 054304 (2013)]. First, we explore the partial decay scheme of 24Si and discuss the states affected by the Thomas-Ehrman shift. Second, we show the accuracy of the INC Hamiltonian for the description of the mirror energy differences.
The work is supported by the National Natural Science Foundation of China under Grant No. 11775277, the financial support to the “Théorie-ISB” project (IN2P3/CNRS, France), and the Ministry of Foreign Affairs and International Development of France in the framework of PHC Xu GuangQi 2015 under project No. 34457VA.
© The Authors, published by EDP Sciences, 2018
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