Microscopic Effective Charges and theB(E2) Values of Terminating States in Mirror Nuclei⁵¹Mn and⁵¹Fe

Abstract

The microscopic effective charges in mirror nuclei 51 Mn and 51 Fe are investigated with the particle-vibration coupling model based on the self-consistent Skyrme-Hartree-Fock and continuum random-phase-approximation approaches. The isovector parts are predicted to be around 0.15, and the proton effective charges are around 1.25 e, which is less than the empirical value of e eff p = 1.5 e. The microscopic effective charges in neutron rich 51 Mn are about 10% less than its proton rich mirror. These effective charges are combined with the shell model to calculate the reduced electric quadrupole transition probability B (E 2) values in 51 Mn and 51 Fe. It turns out that the microscopic effective charges have well reproduced the B (E 2) values and its ratio in the terminating states.