Mean-field derived IBM-1 Hamiltonian with intrinsic triaxial deformation

TL;DR

This paper derives an IBM-1 Hamiltonian incorporating intrinsic triaxial deformation from mean-field calculations, leading to improved predictions of energy spectra and transition strengths in certain isotopes.

Contribution

It introduces a novel method to include intrinsic triaxial deformation from mean-field calculations into IBM-1, enhancing agreement with experimental data.

Findings

Improved agreement with experimental energy spectra and B(E2) values.

Inclusion of triaxial deformation reduces need for higher-order IBM terms.

Supports the prevalence of triaxial shapes in nuclear structure.

Abstract

An interacting-boson-model-1 (IBM-1) Hamiltonian, derived from self-consistent mean-field calculations using a Skyrme energy density functional is employed for the study of energy spectra and $B(E2)$ transition strengths in the even-even $^{162-184}\mathrm{Hf}$ and $^{168-186}\mathrm{W}$. An intrinsic triaxial deformation, derived from fermionic proxy-SU(3) irreps, is incorporated into the IBM-1 potential energy curve, which is subsequently mapped to the fermionic one, in order to derive the parameters of the IBM-1 Hamiltonian. It is shown that the inclusion of the intrinsic triaxial deformation derived from the proxy-SU(3) irreps leads to a significantly improved agreement between the theoretical predictions and experimental data for the low-lying quadrupole bands in the examined isotopes, without the need of higher-order terms in the IBM-1 Hamiltonian. The calculated $B(E2)$ transition strengths are also improved, compared to the axially symmetric case. The recently suggested preponderance of triaxial deformation over extended regions of the nuclear chart is obtained as a by-product. Future potential improvements and extensions to this mapping approach are also discussed.