6533b7d5fe1ef96bd1264f83

RESEARCH PRODUCT

Theoretical description of the fourth-forbidden non-unique β decays ofCd113andIn115

M. AunolaM. T. MustonenJouni Suhonen

subject

PhysicsNuclear and High Energy PhysicsAmplitudeBeta (velocity)Atomic physicsWave functionTwo-body problemLinear combinationSpace (mathematics)

description

The half-lives and $\mathrm{log}\mathit{ft}$ values for the fourth-forbidden non-unique beta decays of the ground states of $^{113}\mathrm{Cd}$ and $^{115}\mathrm{In}$ were calculated using a transparent formulation for the ${\ensuremath{\beta}}^{\ensuremath{-}}$ transition amplitude. The microscopic quasiparticle-phonon model (MQPM) was used to calculate the initial and final states of the transitions. The corresponding wave functions were described as linear combinations of one- and three-quasiparticle configurations built in a realistic single-particle model space by using a realistic microscopic two-body interaction. The computed results for the $\mathrm{log}\mathit{ft}$ values and half-lives are reasonably close to the available experimental data.

https://doi.org/10.1103/physrevc.73.054301