Effect of the Pauli principle on the deformed quasiparticle random-phase approximation calculations and its consequence forβ-decay calculations of deformed even-even nuclei

Abstract

In this work, I take into consideration the Pauli exclusion principle (PEP) in the quasiparticle random-phase approximation (QRPA) calculations for the deformed systems by replacing the traditional quasiboson approximation (QBA) with the renormalized one. With this new formalism, the parametrization of QRPA calculations has been changed and the collapse of QRPA solutions could be avoid for realistic ${g}_{pp}$ values. I further find that the necessity of the renormalization parameter of particle-particle residual interaction ${g}_{pp}$ in QRPA calculations is due to the exclusion of PEP. So with the inclusion of PEP, I could easily extend the deformed QRPA calculations to the less-explored region where lack of experimental data prevent effective parametrization of ${g}_{pp}$ for QRPA methods. With this theoretical improvement, I give predictions of weak decay rates for even-even isotopes in the rare-earth region and compare the results with existing calculations.