Abstract
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, thusagreeing perfectly with the nuclear shell model. The superposition of Hulthen potential plus Spin – orbitinteraction plus adjusted Coulomb is used as the nucleon – nucleon potential for this study. This superpositionforms a suitable potential model useful in describing the net force mediating the interactions betweennucleons in a nuclear system. The combined potentials effectively represent three basic interactions withinthe nucleus. By employing the Nikiforov – Uvarov method of solving the Schrodinger equation, we havecalculated 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 resultsobtained are in agreement with experiment. As such, the constructed potential model used in the presentwork is recommended for similar nuclei. Key words: Schrödinger equation, Hulthen potential, spin-orbit interaction, Coulomb potential, energyeigenvalues eigenfunction, expectation values.
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