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Shell evolution of kinetic, potential and binding energies of \(N = Z\) nuclei in s–d shell in a deformed Woods–Saxon potential with the pairing correlation energies

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Abstract

We discuss the evolution of single particle state (SPS) energies by the deformation within a deformed Woods–Saxon potential. Since the SPS energy (SPSE) is based on the concept of one-body potential, we decompose it into kinetic and potential energy, and consider the modification of total binding energy (TBE) beyond the one-body potential by the pairing correlations. Evolution of each energy is detailed numerically. The TBEs of \(N = Z\) nuclei in s–d shell are obtained in terms of the \(\beta _2\) deformation by minimizing the TBE. Our results infer that a simple summation of the SPSE is not enough to explain experimental TBEs, so that we suggest how to properly obtain the TBE and the reasonable deformation beyond the deformed Woods–Saxon potential by including realistic pairing interactions by G-Matrix.

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Acknowledgements

This work was supported by the National Research Foundation of Korea (Grant nos. NRF-2018R1D1A1B05048026, NRF-2020R1A2C3006177, NRF-2013M7A1A1075764).

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Authors and Affiliations

  1. Department of General Education for Human Creativity, Hoseo University, Asan, Chungnam, 336-851, Korea

    Eunja Ha

  2. Department of Physics and Origin of Matter and Evolution of Galaxy (OMEG) Institute, Soongsil University, Seoul, 156-743, Korea

    Seonghyun Kim & Myung-Ki Cheoun

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  1. Eunja Ha
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  2. Seonghyun Kim
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  3. Myung-Ki Cheoun
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Correspondence to Eunja Ha or Myung-Ki Cheoun.

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Ha, E., Kim, S. & Cheoun, MK. Shell evolution of kinetic, potential and binding energies of \(N = Z\) nuclei in s–d shell in a deformed Woods–Saxon potential with the pairing correlation energies. J. Korean Phys. Soc. 78, 761–769 (2021). https://doi.org/10.1007/s40042-021-00142-x

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