# Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional

Source: [Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional](<https://www.sota2.com/research/paper/68fa48b01e209131ce9315fd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:57:36.865Z

Authors: K. Suzuki, K. Nomura

Published: 2024-04-09T01:55:11.000Z

## Abstract

Evolution and coexistence of shape and the related spectroscopic properties of even-even Te isotopes are investigated within the quadrupole collective model that is based on the nuclear density functional theory. By means of the constrained self-consistent mean-field calculations performed within the relativistic Hartree-Bogoliubov method with a choice of the energy density functional and pairing interaction, the deformation-dependent mass parameters and moments of inertia as well as collective potential of the triaxial quadrupole collective Hamiltonian are completely determined. The collective model produces for the near mid-shell nuclei, e.g., $^{116}$Te and $^{118}$Te, the low-energy $0^+\_2$ state, which can be interpreted as the intruder state originating from the strongly deformed prolate minimum in the potential energy surface, along with the $0^+\_1$ ground state that is attributed to the normal state based on a weakly oblate deformed global minimum. The collective model calculation suggests a parabolic behavior of the $0^+\_2$ energy level near the neutron mid-shell $N=66$, as observed experimentally. Sensitivities of the calculated low-energy spectra to the pairing strength and collective mass parameters are analyzed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2404.05944>)

[PDF](<https://arxiv.org/pdf/2404.05944.pdf>)