Shell-model calculations of isovector electromagnetic transitions and Gamow-Teller beta decays in the N≃28 region

Atsushi Yokoyama and Hisashi Horie
Phys. Rev. C 38, 1058 – Published 1 August 1988
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Abstract

Isovector E2 and M1 transitions from isobaric analog states of the N=29 isotones to low-lying states in the N=28 isotones are discussed by making use of the shell model. The f7/2n1j and the f7/2n+f7/2n1j configurations are assumed for the N=29 and N=28 isotones, respectively, where j denotes one of the p3/2, p1/2, and f5/2 orbits. First, the model space is restricted to j=p3/2 only, and it is extended to include all the p3/2, p1/2, and f5/2 orbits, in order to study stepwise the role of the various wave function components. For the isovector E2 transitions, it is confirmed that the major components of the wave functions play a decisive role for the allowed transitions in the single-particle shell model and the use of the good isospin wave functions is indispensable for the forbidden ones. For the isovector M1 transitions, it is shown that the spin-nonflip f7/2f7/2 transition, which is introduced by the neutron-excited components in the wave functions of the N=28 isotones, plays a very significant role: It gives rise to the important cancellation which is responsible for the strong suppression of the M1 transition strength in comparison with the simple shell-model prediction, and it becomes the leading term in the l- and j-forbidden M1 transitions. Similar discussion holds for the Gamow-Teller beta decays between the levels of the N=28 and N=29 nuclei.

  • Received 3 February 1988

DOI:https://doi.org/10.1103/PhysRevC.38.1058

©1988 American Physical Society

Authors & Affiliations

Atsushi Yokoyama

  • Laboratory of Physics, School of Medicine, Teikyo University, Hachioji, Tokyo 192, Japan

Hisashi Horie

  • Laboratory of Physics, Kanto Gakuin University, Yokohama, Kanagawa 236, Japan

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Issue

Vol. 38, Iss. 2 — August 1988

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