Elsevier

Nuclear Physics A

Volume 417, Issue 3, 16 April 1984, Pages 419-446
Nuclear Physics A

Calculation of Gamow-Teller β-strength functions in the rubidium region in the RPA approximation with Nilsson-model wave functions

https://doi.org/10.1016/0375-9474(84)90406-8Get rights and content

Abstract

We calculate allowed Gamow-Teller and, in a few cases, Fermi β-strength functions in a model that is applicable to studies of nuclei throughout the periodic system. For our first study we have selected a sequence of rubidium isotopes, namely 3789Rb-3799Rb. We develop a model that uses calculated Nilsson-model wave functions, spherical or deformed, as the case may be, as the starting point for determining the wave functions of the mother and daughter nuclei in the β-decay. Pairing is treated in the BCS approximation. To account for the retardation of low-energy GT decay rates we add, as is customarily done, a simple residual interaction specific to GT decay, namely VGT = :β1−β1+:, to the hamiltonian. This residual interaction is treated in the RPA approximation. The strength of the interaction is adjusted to get agreement between the calculated and experimental energy of the giant Gamow-Teller resonance for 208Pb and 144Sm. Since the present model is based on calculated wave functions and single-particle levels, studies of nuclei far from stability, where little experimental information is available, are more straightforward relative to calculations where “experimental” levels are used. The model can treat deformed nuclei employing wave functions calculated to desired accuracy, within the framework of the model, for the deformed single-particle well. The calculations show that use of single-particle parameters appropriate to the region studied and taking deformation into account is important. We find good agreement between calculated and experimental spectra over the region studied, provided an appropriate choice of single-particle parameters and deformation is made.

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