2009

Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches

Liang, Haozhao, Van Giai, Nguyen, Meng, Jie

Understand

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.

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