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Shell-model studies relevant for the low-energy Coulomb excitation in Zn isotopes

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Abstract

The low-lying nuclear structure of even-even Zn isotopes ranging from \(^{62}\)Zn to \(^{70}\)Zn has been comprehensively examined through large scale shell model calculations. These calculations encompassed the f\(_{5/2}\textrm{p}_{3/2,1/2}\textrm{g}_{9/2}\) (fpg) model space without any truncation, employing \(^{56}\)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\(_{9/2}\) 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 \(^{62}\)Zn and \(^{64}\)Zn, while suggesting moderate prolate-triaxial excitations in \(^{66}\)Zn, \(^{68}\)Zn, and \(^{70}\)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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical work and all data generated during this study are contained in the article.]

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Acknowledgements

One of the author, I. A. acknowledges the financial support received from University Grants Commission in the form of senior research fellowship via Sr. no. 2061651483 & Ref. no. 19/06/2016(i)EU-V. I. A. is also thankful to Yashraj, C. Kumar and U. S. Ghosh (IUAC) for fruitful discussions related to the current work. We also acknowledge A. Kumar and the high performance computing facility at IUAC New Delhi, for providing the platform to carry out the shell model calculations.

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Authors and Affiliations

  1. Nuclear Physics Group, Inter-University Accelerator Centre, New Delhi, 110067, India

    I. Ahmed & R. Kumar

  2. Heavy Ion Laboratory, University of Warsaw, Pasteura 5A, 02-093, Warsaw, Poland

    K. Hadyńska-Klȩk

  3. Department of Physics, KTH Royal Institute of Technology, Stockholm, 10691, Sweden

    C. Qi

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  1. I. Ahmed
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  2. R. Kumar
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Correspondence to R. Kumar.

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Communicated by Kamila Sieja.

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Ahmed, I., Kumar, R., Hadyńska-Klȩk, K. et al. Shell-model studies relevant for the low-energy Coulomb excitation in Zn isotopes. Eur. Phys. J. A 59, 306 (2023). https://doi.org/10.1140/epja/s10050-023-01213-2

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