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   Periodicity: 4 times per year   Open access peer reviewed journal

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A. A. Alzubadi^*, R. T. Mahdi

Department of Physics, College of Science, University of Baghdad, Baghdad, Iraq

^*Corresponding author. E-mail address: ali.abdullatif@sc.uobaghdad.edu.iq

Abstract: The current study examined the nuclear deformation of certain Titanium and Chromium isotopes using the shell model and Hartree - Fock approximation within the fp-shell model space. The research calculated magnetic dipole and electric quadrupole moments, inelastic longitudinal Coulomb electroexcitation form factors, and low-lying excitation energies. The one-body transition density matrix elements for each transition in the fp-shell model space were computed using the FPD6 two-body effective interaction. The impact of varying the single-particle nuclear potentials, such as a harmonic oscillator, Woods - Saxon, and Skyrme - Hartree - Fock, was investigated in comparison with experimental data. Discrepancies with the experimental data led to adjustments in the two-body effective interactions or the model for calculating the effective charge of the nucleus for specific transitions. Furthermore, the study analyzed the potential energy surface and nuclear density distribution as a function of the quadrupole deformation parameter β₂ using the Hartree - Fock + Bardeen - Cooper - Schrieffer method.

Keywords: shell model, fp-shell model space, Skyrme - Hartree - Fock, quadrupole deformation parameters, Hartree - Fock + Bardeen - Cooper - Schrieffer.

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