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 (₂₀Ca) which are even-even nuclei and have the atomic mass (Z = 20) with its previous experimental data. Theoretical calculations of some 20₂₀Ca 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 (Q0Th)Q0Th) and theoretical deformation parameters (β₂β₂, δ)Thδ)Th 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 Q0ThQ0Th and the (β₂β₂, δ)Thδ)Th were then compared with the previous experimental data where values of the transition rate B(E2)Th, theoretical intrinsic quadrupole moments Q0ThQ0Th and theoretical deformation parameter (β₂β₂, δ)Thδ)Th, using the fpbm, the fpd6 and the kb3 interactions were the best.