Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei
A non-relativistic analytical study of some atomic nuclei near doubly-magic nuclei, namely 41Ca and 41Sc. These nuclei under study are considered to have a closed core with a single nucleon orbiting the core, thus agreeing perfectly with the nuclear shell model. The superposition of Hulthen potenti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Al-Farabi Kazakh National University
2021-12-01
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| Series: | Physical Sciences and Technology |
| Online Access: | http://phst/index.php/journal/article/view/265 |
| _version_ | 1797645304324947968 |
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| author | E. A. Thompson E. P. Inyang E. S. William |
| author_facet | E. A. Thompson E. P. Inyang E. S. William |
| author_sort | E. A. Thompson |
| collection | DOAJ |
| description |
A non-relativistic analytical study of some atomic nuclei near doubly-magic nuclei, namely 41Ca and 41Sc.
These nuclei under study are considered to have a closed core with a single nucleon orbiting the core, thus
agreeing perfectly with the nuclear shell model. The superposition of Hulthen potential plus Spin – orbit
interaction plus adjusted Coulomb is used as the nucleon – nucleon potential for this study. This superposition
forms a suitable potential model useful in describing the net force mediating the interactions between
nucleons in a nuclear system. The combined potentials effectively represent three basic interactions within
the nucleus. By employing the Nikiforov – Uvarov method of solving the Schrodinger equation, we have
calculated the energy eigenvalues and the eigen function of these nuclei. Also, the expectation values for radius,
kinetic energy and momentum of each nucleus under study are also evaluated analytically. The results
obtained are in agreement with experiment. As such, the constructed potential model used in the present
work is recommended for similar nuclei.
Key words: Schrödinger equation, Hulthen potential, spin-orbit interaction, Coulomb potential, energy
eigenvalues eigenfunction, expectation values.
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| first_indexed | 2024-03-11T14:44:26Z |
| format | Article |
| id | doaj.art-83ca7618852345d395faa4405ec9652f |
| institution | Directory Open Access Journal |
| issn | 2409-6121 |
| language | English |
| last_indexed | 2024-03-11T14:44:26Z |
| publishDate | 2021-12-01 |
| publisher | Al-Farabi Kazakh National University |
| record_format | Article |
| series | Physical Sciences and Technology |
| spelling | doaj.art-83ca7618852345d395faa4405ec9652f2023-10-30T13:10:44ZengAl-Farabi Kazakh National UniversityPhysical Sciences and Technology2409-61212021-12-0183-4Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nucleiE. A. Thompson0E. P. Inyang1E. S. William2Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, NigeriaTheoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, NigeriaTheoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar, Nigeria A non-relativistic analytical study of some atomic nuclei near doubly-magic nuclei, namely 41Ca and 41Sc. These nuclei under study are considered to have a closed core with a single nucleon orbiting the core, thus agreeing perfectly with the nuclear shell model. The superposition of Hulthen potential plus Spin – orbit interaction plus adjusted Coulomb is used as the nucleon – nucleon potential for this study. This superposition forms a suitable potential model useful in describing the net force mediating the interactions between nucleons in a nuclear system. The combined potentials effectively represent three basic interactions within the nucleus. By employing the Nikiforov – Uvarov method of solving the Schrodinger equation, we have calculated the energy eigenvalues and the eigen function of these nuclei. Also, the expectation values for radius, kinetic energy and momentum of each nucleus under study are also evaluated analytically. The results obtained are in agreement with experiment. As such, the constructed potential model used in the present work is recommended for similar nuclei. Key words: Schrödinger equation, Hulthen potential, spin-orbit interaction, Coulomb potential, energy eigenvalues eigenfunction, expectation values. http://phst/index.php/journal/article/view/265 |
| spellingShingle | E. A. Thompson E. P. Inyang E. S. William Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei Physical Sciences and Technology |
| title | Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei |
| title_full | Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei |
| title_fullStr | Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei |
| title_full_unstemmed | Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei |
| title_short | Analytical determination of the non-relativistic quantum mechanical properties of near doubly magic nuclei |
| title_sort | analytical determination of the non relativistic quantum mechanical properties of near doubly magic nuclei |
| url | http://phst/index.php/journal/article/view/265 |
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