Parameter dependence of the $\beta$-decay properties of neutron-rich Zr isotopes within the interacting boson model

Abstract

We investigate parameter dependence of the calculated $\beta$-decay properties, as well as low-lying states for the neutron-rich Zr isotopes within the neutron-proton interacting boson model (IBM-2) and interacting boson-fermion-fermion model (IBFFM-2). It is shown that the calculated ${\log }_{10}ft$ values for the transitions of the $0_1^{+}$ ground states of the parent even-even nuclei ${}^{96-102}$Zr into the $1_1^{+}$ states of the daughter odd-odd nuclei ${}^{96-102}$Nb consistently exhibit a strong dependence on those parameters associated with the quadrupole-quadrupole boson interaction, and with the residual interaction between an unpaired neutron and an unpaired proton in the IBFFM-2 Hamiltonian for the odd-odd Nb nuclei. By the reduction in magnitude of the quadrupole-quadrupole interaction strength by approximately a factor of 2, the calculated ${\log }_{10}ft$ values for the Zr$(0_1^{+})\to$Nb$(1_1^{+})$ transitions increase and agree with the experimental values. This points to a significant improvement over the previous study performed in the same mass region, that consists of the mapping from a relativistic energy density functional calculation onto the IBM-2 Hamiltonian.

17 pages, 12 figures, 3 tables

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Cited by in corpus (4)

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• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Sensitivity analysis of $\beta$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model