On the role of pairing correlations in calculation of \b{eta}-decay half-lives within QRPA formalism

Abstract

In this paper we show that the proton-neutron residual interaction can play an important role in the reliability of calculated $\beta$-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 ${\beta }^{+}$/EC decay. Our study shows a better agreement with the available experimental data as compared to former calculations.

arXiv comment21 Pages, 4 Tables, 2 Figures,

References in corpus (15)

• Nuclear Ground-State Masses and Deformations
• Nuclear ground-state masses and deformations: FRDM(2012)
• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Neutrinoless Double Beta Decay within QRPA with Proton-Neutron Pairing
• Spin-isospin resonances: A self-consistent covariant description
• $\beta$-decay half-lives of neutron-rich nuclei and matter flow in the $r$-process
• Shell-model half-lives for the N=82 nuclei and their implications for the r-process
• Beta-decay rates of r-process nuclei in the relativistic quasiparticle random phase approximation
• Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies
• Microscopic Calculations of Weak Interaction Rates of Nuclei in Stellar Environment for A = 18 to 100
• Half-lives of rp-process waiting point nuclei
• Nuclear $\beta$-decay half-lives in the relativistic point-coupling model
• First-forbidden $\beta$-decay rates, energy rates of $\beta$-delayed neutrons and probability of $\beta$-delayed neutron emissions for neutron-rich nickel isotopes
• Unique first-forbidden $\beta$-decay transitions in odd-odd and even-even heavy nuclei
• Allowed and unique first-forbidden stellar electron emission rates of neutron-rich copper isotopes