Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation

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.