Calculation Quadrupole Moments, Magnetic Dipole Moments and Occupation Numbers for Some Exotic Scandium Isotopes

The quadrupole moments, magnetic dipole moments and the occupation numbers on the ground state have been calculated for some exotic scandium nuclei (A= 41, 43, 44, 46, and 47), and for stable nucleus (A=45) based on the shell model using FPBM interaction.40Ca nucleus is considered as inert core for all isotopes under consideration and the other valence nucleons are moving over the fp-shell model space within 1f7/2, 2p3/2, 1f5/2 and 2p1/2 orbits. The simple harmonic oscillator potential (HO) is used to generate the single particle matrix elements of Sc isotopes. Calculations with configuration mixing shell model with these limited model spaces, usually underestimate the measured quadrupole moments and magnetic dipole moments. Including the discarded space through the effective charges and effective g-factors, this is called core-polarization effect (CP), make the present result in agreement with the experimental data.