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    Calculating some nuclear properties of chromium isotopes in the shell model
    (Indian Assoc Cultivation Science, 2024) Ali, Ahmed H.; Abbasi, Akbar; Akkoyun, Serkan; Korna, A. H.; Hossain, I.; Alshammari, H.; Zakaly, Hesham M. H.
    The present study provides an in-depth theoretical examination of the shell model for a range of even-even Chromium (Z = 24) isotopes, encompassing neutron numbers both 22 and 36. The shell model calculations relied on assumptions about the disregarded core-polarization effects and the utilization of effective charges. We performed extensive theoretical calculations to determine the probability of reduced electric quadrupole transition, B(E2;0g.s+ -> 2+), the intrinsic quadrupole moments (Q0), the deformation parameters (beta 2,delta), and the inclusion of effective interactions such as fpd6, fpv, fpbm, and kb3. Using the NuShellX@MSU algorithm, the one-body density matrix elements (OBDM) were computed for these isotopes. Various effective charges were utilized in these computations, including NU-E effective charges obtained from the Nushellx@MSU software, ST-E standard effective charges, and BM-E effective charges calculated using Bohr and Mottelson's method. Comparative analysis was conducted between the theoretical values of transition rate B(E2), intrinsic quadrupole moments, deformation parameters and the available experimental data. The gained theoretical conclusions were subsequently contrasted with prior experimental data, which had similarly demonstrated the collapse of the magical property of the Cr isotope. The intrinsic quadrupole moment was optimal when employing the kb3 interaction, but the deformation parameter appeared optimal when using two interactions, fpbm and kb3. Furthermore, it has been demonstrated that the magical characteristic of the 52Cr (N = 28) isotope undergoes collapse.
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    Theoretical comparison of transition rate B(E2) and deformation parameter with experimental data for calcium (20Ca) isotopes using shell model theory
    (World Scientific Publ Co Pte Ltd, 2024) Ali, Ahmed H.; Akkoyun, Serkan; Abbasi, Akbar; Hossain, I.; Korna, A. H.; Deressu, Tilahun T.; Alshammari, H.
    A theoretical comparison has been made for some calcium isotopes (Ca-20) which are even-even nuclei and have the atomic mass (Z = 20) with its previous experimental data. Theoretical calculations of some Ca-20 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 (Q(0Th)) and theoretical deformation parameters (beta(2), delta)(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 Q(0Th) and the (beta(2), delta)Th were then compared with the previous experimental data where values of the transition rate B(E2)Th, theoretical intrinsic quadrupole moments Q0Th and theoretical deformation parameter (beta(2), delta)(Th), using the fpbm, the fpd6 and the kb3 interactions were the best.