β-decay half-life of V 50 calculated by the shell model

Abstract

In this work we survey the detectability of the β− channel of 50 23V leading to the first excited 2+ state in 50 24Cr. The electron-capture (EC) half-life corresponding to the transition of 50 23V to the first excited 2+ state in 50 22Ti had been measured earlier. Both of the mentioned transitions are 4th-forbidden non-unique. We have performed calculations of all the involved wave functions by using the nuclear shell model with the GXPF1A interaction in the full f-p shell. The computed half-life of the EC branch is in good agreement with the measured one. The predicted half-life for the β− branch is in the range ≈2 × 1019 yr whereas the present experimental lower limit is 1.5 × 1018 yr. We discuss also the experimental lay-out needed to detect the β−-branch decay.