Theoretical comparison of transition rate B(E2) and deformation parameter with experimental data for calcium (20Ca) isotopes using shell model theory

A theoretical comparison has been made for some calcium isotopes ([Formula: see text]Ca) which are even–even nuclei and have the atomic mass (Z = 20) with its previous experimental data. Theoretical calculations of some [Formula: see text]Ca isotopes (A = 42, 44, 46, 48, 50, 52) adopted by the shell model theory were performed to calculate the transition rate B(E2), theoretical intrinsic quadruple moments ([Formula: see text] and theoretical deformation parameters ([Formula: see text], [Formula: see text] were calculated by two methods by using different effective interactions for each isotope such as, su3fp, fpbm, fprkb, fpd6, kb3. Through code NuShellX@MSU, the single-body density matrix was calculated. The effects of the core polarization were neglected by adopting various effective charges that were employed, effective charges of conventional (Con-E), effective charges of standard (St-E) and effective charges of Bohr and Mottelson (B-M-E) which were calculated. The theoretical values of the B(E2) Th , the [Formula: see text] and the ([Formula: see text], [Formula: see text] were then compared with the previous experimental data where values of the transition rate B(E2) Th , theoretical intrinsic quadrupole moments [Formula: see text] and theoretical deformation parameter ([Formula: see text], [Formula: see text], using the fpbm, the fpd6 and the kb3 interactions were the best.