https://doi.org/10.1140/epja/s10050-023-01213-2
Regular Article - Theoretical Physics
Shell-model studies relevant for the low-energy Coulomb excitation in Zn isotopes
1
Nuclear Physics Group, Inter-University Accelerator Centre, 110067, New Delhi, India
2
Heavy Ion Laboratory, University of Warsaw, Pasteura 5A, 02-093, Warsaw, Poland
3
Department of Physics, KTH Royal Institute of Technology, 10691, Stockholm, Sweden
Received:
3
September
2023
Accepted:
6
December
2023
Published online:
29
December
2023
The low-lying nuclear structure of even-even Zn isotopes ranging from Zn to
Zn has been comprehensively examined through large scale shell model calculations. These calculations encompassed the f
(fpg) model space without any truncation, employing
Ni as an inert core. Two different effective interactions, JUN45 and jj44b, were utilized in these calculations. Various critical observables, including excitation energies, reduced transition strengths, and electric quadrupole moments, were computed and then evaluated in the context of existing experimental data. The configurations of the resulting wave functions were also thoroughly analyzed. Furthermore, occupation probabilities for distinct single-particle orbitals were determined, with particular attention given to the pivotal role of the g
orbital in elucidating the nuclear structure of heavy Zn isotopes. Additionally, rotational invariants were calculated for the ground state, shedding light on a prolate deformation in
Zn and
Zn, while suggesting moderate prolate-triaxial excitations in
Zn,
Zn, and
Zn. These findings hold significant relevance for interpreting the intriguing outcomes of sub-barrier Coulomb excitation experiments, offering invaluable insights into the static electromagnetic properties of the nucleus through a model-independent approach.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epja/s10050-023-01213-2.
Copyright comment corrected publication 2024
Copyright comment corrected publication 2024
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