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Published July 13, 1998 | public
Journal Article Open

Shell Model Calculation of the β- and β+ Partial Half-Lives of 54Mn and Other Unique Second Forbidden β Decays

Abstract

The nucleus 54Mn, observed in cosmic rays, decays there dominantly by the β- branch with an unknown rate. The branching ratio of its β+ decay was determined recently. We use the shell model with only a minimal truncation and calculate both β+ and β- decay rates. Good agreement for the β+ branch suggests that the calculated partial half-life of the β- decay, 4.94×10^5 yr, should be reliable. However, this half-life is noticeably shorter than the range 1–2×10^6 yr indicated by the fit based on the 54Mn abundance in cosmic rays. We also evaluate other known unique second forbidden β decays from the p and sd shells and show that the shell model can describe them with reasonable accuracy as well.

Additional Information

©1998 The American Physical Society Received 12 March 1998 P.V. is supported in part by the U.S. Department of Energy under Grant No. DE-FG03-88ER-40397. G.M.P. is supported in part by the DGICyES (Spain). Computational resources were provided by the Center for Advanced Computational Research at Caltech.

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August 22, 2023
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