Abstract
Since the β decay of is first-forbidden unique, the ratio ρ of bound-state to continuum β decay of reduces to a problem in atomic physics. A knowledge of ρ is required if one is to connect the experimentally determined value of the rate of continuum decay to a value of the half-life for the β decay of . The value of plays a significant role in the use of the geochemically determined ratio of to in the estimation of the age of our galaxy. Our results for ρ, based on the Hartree-Fock-Dirac single-configuration and the multiconfiguration Dirac-Fock approximations strengthen the conclusion of Williams, Fowler, and Koonin [Astrophys. J. 281, 363 (1984)] based on a modified Thomas-Fermi model, that ρ is only of the order of 1%. We also include a few values of the rate for a process first considered by Perrone [Ph.D. thesis, Rice University (1971)], the bound-state β decay of a bare nucleus. (Since the mass of the nucleus is less than the sum of the masses of its daughter nucleus and of an electron, continuum decay of a bare nucleus is forbidden; neutral can β decay only because of the greater binding energy of the electrons of than of Re.)
- Received 5 September 1986
DOI:https://doi.org/10.1103/PhysRevA.35.1981
©1987 American Physical Society