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Nuclear shell model is adopted to calculate the electric quadrupole moments for some Calcium isotopes 20Ca (N = 21, 23, 25, and 27) in the fp shell. The wave function is generated using a two body effective interaction fpd6 and fp space model. The one body density matrix elements (OBDM) are calculated for these isotopes using the NuShellX@MSU code. The effect of the core-polarizations was taken through the theory microscopic by taking the set of the effective charges. The results for the quadrupole moments by using Bohr-Mottelson (B-M) effective charges are the best. The behavior of the form factors of some Calcium isotopes was studied by using Bohr-Mottelson (B-M) effective charges.

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This paper presents calculations of the magnetic moments, the quadrupole moments, and the form factors of a number of titanium isotopes as determined using the shell model space. The calculations of the shell model have adopted the model space (MS) with core-polarization effects, which were included for two types of effective g factors and different effective charges. The wave functions are generated using the harmonic oscillator potential (HO) with size parameters b, which for these isotopes are calculated. The one body density matrices (OBDM) for these isotopes were obtained using the NuShellX@MSU code, which used an adopted fpd6 interaction and fp model space. Reasonable results are obtained that show the collapse of the magicity property at neutron number N = 28.