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Shell-model study of \(\beta ^+\)/EC-decay half-lives for \(Z=21\)–30 nuclei

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Abstract

In the present work, we have reported \(\beta ^+\)/EC-decay half-lives for \(Z = 21\)–30 nuclei using large-scale shell-model. A recent study shows that some proton-rich nuclei in this region belong to the island of inversion. We have performed calculations for these nuclei using KB3G effective interaction, while for Ni, Cu, and Zn nuclei we have used JUN45 effective interaction in the \(f_{5/2}pg_{9/2}\) model space. The calculated quenching factors for fp and \(f_{5/2}pg_{9/2}\) space using KB3G and JUN45 effective interactions are also reported. Shell-model results of \(\beta \)-decay half-lives, excitation energies, logft values, and branching fractions are discussed and compared with the available experimental data. We have obtained a reasonable agreement with the available data.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: We have already provided all data in the manuscript (in form of tables and figures).]

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Acknowledgements

V. Kumar acknowledges financial support from SERB Project (File No. EEQ/2019/000084), Govt. of India. The authors also acknowledge PARAM Shivay Computing facility at IIT (BHU) Varanasi. V. Kumar also acknowledges financial support from IoE Seed Grant, BHU (R/Dev/D/IoE/Seed Grant-II/2021-22/39960). PCS acknowledges financial support from SERB (India), CRG/2022/005167. In addition, we would like to thank the National Supercomputing Mission (NSM) for providing computing resources of ‘PARAM Ganga’ at the Indian Institute of Technology Roorkee, implemented by C-DAC and supported by the Ministry of Electronics and Information Technology (MeitY) and Department of Science and Technology (DST), Government of India. We would like to thank Prof. T. Suzuki for useful suggestions.

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Authors and Affiliations

  1. Department of Physics, Institute of Science, Banaras Hindu University Varanasi, Varanasi, 221 005, India

    Vikas Kumar

  2. Department of Physics, Indian Institute of Technology Roorkee, Roorkee, 247 667, India

    Praveen C. Srivastava

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  1. Vikas Kumar
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  2. Praveen C. Srivastava
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Correspondence to Vikas Kumar.

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Communicated by Kamila Sieja.

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Kumar, V., Srivastava, P.C. Shell-model study of \(\beta ^+\)/EC-decay half-lives for \(Z=21\)–30 nuclei. Eur. Phys. J. A 59, 237 (2023). https://doi.org/10.1140/epja/s10050-023-01142-0

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