Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English, Russian   Periodicity: 4 times per year   Open access peer reviewed journal

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Dalal Naji Hameed^1,*, Ali Khalaf Hasan<sup>2

1</sup>Department of Physics, College of Science, University of Kufa, Kufa, Iraq
²Department of Physics, College of Education for Girls, University of Kufa, Najaf, Iraq

^*Corresponding author. E-mail address: dalal.alkaraawi@uokufa.edu.iq

Abstract: In this work, nuclear shell model was applied using modified surface delta-interaction to calculate, in particle-hole state, the energy levels of isobar nuclei ⁴⁰Sc and ⁴⁰K. Particles are in the model space (1f_7/2) while the holes are found in the model space (1d_3/2, 1s_1/2, 1d_5/2). The total angular momentum and parity are identified for possible particles and holes in nuclei above. Thus, we have used a theoretical study to find relationship between energy levels and the semi-classical coupling angle θ_1,2 at different orbitals within particle-hole configuration. We notice the energy levels seem to follow two universal functions which depend on the semi-classical coupling angles θ_1,2. We found the theoretical data agree to the experimental data.

Keywords: shell model, energy levels, modified surface delta-interaction, ⁴⁰Sc, ⁴⁰K, particle-hole.

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