Beyond Wigner's isobaric multiplet mass equation: Effect of charge-symmetry-breaking interaction and Coulomb polarization
| Autor: | Dong, J. M., Gu, J. Z., Zhang, Y. H., Zuo, W., Wang, L. J., Litvinov, Yu. A., Sun, Y. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev,C 99, 014319 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.99.014319 |
| Popis: | 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 $T_z$-terms to characterize the deviations from the IMME, but finding the origin of these terms remains an unsolved difficulty. Based on a strategy beyond the Wigner's first-order perturbation, we derive explicitly the cubic and quartic $T_z$-terms. These terms are shown to be generated by the effective charge-symmetry breaking and charge-independent breaking interactions in nuclear medium combined with the Coulomb polarization effect. Calculations for the $sd$- and lower $fp$-shells explore a systematical emergence of the cubic $T_z$-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. Comment: 13 pages, 4 figures |
| Databáze: | arXiv |
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