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

H. Liang (1) , N. van Giai (1) , J. Meng

1 IPNO - Institut de Physique Nucléaire d'Orsay

Self-consistent random phase approximation (RPA) approaches in the relativistic framework are applied to calculate the isospin symmetry-breaking corrections $delta_c$ for the $0^+ o0^+$ 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 $mathcalFt$ 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 $mathcalFt$ values is satisfied for all effective interactions employed. Furthermore, the element $V_{ud}$ and unitarity of the Cabibbo-Kobayashi-Maskawa matrix are discussed.

Domaines: Physique Nucléaire Théorique [nucl-th]

H. Liang, N. van Giai, J. Meng. Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random-phase approximation approaches. Physical Review C, 2009, 79, pp.064316. ⟨10.1103/PhysRevC.79.064316⟩. ⟨in2p3-00411479⟩