Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-04-23
Phys.Rev.C79:064316,2009
Physics
Nuclear Physics
Nuclear Theory
7 pages, 2 figures, 4 tables
Scientific paper
10.1103/PhysRevC.79.064316
Self-consistent random phase approximation (RPA) approaches in the relativistic framework are applied to calculate the isospin symmetry-breaking corrections $\delta_c$ for the $0^+\to0^+$ superallowed transitions. It is found that the corrections $\delta_c$ are sensitive to the proper treatments of the Coulomb mean field, but not so much to specific effective interactions. With these corrections $\delta_c$, the nucleus-independent $\mathcal{F}t$ values are obtained in combination with the experimental $ft$ values in the most recent survey and the improved radiative corrections. It is found that the constancy of the $\mathcal{F}t$ values is satisfied for all effective interactions employed. Furthermore, the element $V_{ud}$ and unitarity of the Cabibbo-Kobayashi-Maskawa matrix are discussed.
Giai Nguyen Van
Liang Haozhao
Meng Jie
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