Second-generation microscopic predictions of beta-decay half-lives of neutron-rich nuclei

doi:10.1016/0092-640X(90)90020-K

Atomic Data and Nuclear Data Tables

Volume 44, Issue 1, January 1990, Pages 79-132

https://doi.org/10.1016/0092-640X(90)90020-K Get rights and content

Abstract

Beta-decay half-lives for neutron-rich nuclei with 6 ≤ Z ≤ 108 between the line of β-stability and the neutron drip line have been calculated in a second-generation microscopic calculation using the proton-neutron quasiparticle random-phase approximation (QRPA) with a Gamow-Teller residual interaction. The accuracy of the predictions is considerably improved over that of earlier approaches based on the gross theory and the Tamm-Dancoff approximation (TDA).

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We investigate the effect of pairing correlations on the computed Gamow–Teller (GT) strength distributions and corresponding $β$ -decay half-lives. The calculations are performed for a total of 47 $s d$ -shell nuclei, for 20 $<$ A $<$ 30, employing the pn-QRPA model. Our calculations use three different values of pairing gaps computed using three different empirical formulae. The GT strength distribution and centroid values change considerably with a change in the pairing gap values. This in turn leads to differences in computed half-lives. The pairing gaps computed using the mass-dependent formula result in the calculated half-lives in better agreement with the measured data.
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Citation Excerpt :
For our present study we employ the pn-QRPA model in a deformed space using the Nilsson+BCS formalism. We further incorporate multi-shell single-particle states and include a schematic interaction (Staudt et al., 1990; Hirsch et al., 1993). See also Ref. Muto et al. (1992).
In this paper we show that the proton-neutron residual interaction can play an important role in the reliability of calculated β-decay half-lives. It may also improve the prediction power of the quasiparticle random phase approximation (QRPA) model. We further demonstrate that a reasonable choice of the particle-particle (attractive) and particle-hole force (repulsive) parameters can result in calculated half-lives in very good comparison with the measured ones. Pairing gaps have affect on calculated half-lives which we explore in this paper. We present our half-lives calculation using the proton-neutron QRPA (pn-QRPA) model possessing a multi-shell single-particle deformed space including a schematic interaction for some medium mass neutron-deficient nuclei undergoing $β^{+}$ /EC decay. Our study shows a better agreement with the available experimental data as compared to former calculations.

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^∗: Permanent address: Tokyo Institute of Technology, Tokyo, Japan

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Atomic Data and Nuclear Data Tables

Abstract

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Cited by (153)

Re-analysis of the Gamow-Teller distributions for N=Z nuclei, <sup>24</sup>Mg, <sup>28</sup>Si, and <sup>32</sup>S

Beta decay and electron capture rates of manganese isotopes in astrophysical environments

Investigation of pairing correlations on computed Gamow–Teller strength distributions and associated β-decay half-lives

The nuclear ground-state properties and stellar electron emission rates of <sup>76</sup>Fe, <sup>78</sup>Ni, <sup>80</sup>Zn, <sup>126</sup>Ru, <sup>128</sup>Pd and <sup>130</sup>Cd using RMF and pn-QRPA models

Nuclear structure properties of even-even chromium isotopes and the effect of deformation on calculated electron capture cross sections

On the role of pairing correlations in calculation of β-decay half-lives within QRPA formalism