Theoretical Study of Positive and Negative Parity Coulomb Transitions in 40,48Ca

Abstract

Hsieh-Wildenthal (HW) and G-matrix PF1, (GXPF1) interactions for ⁴⁰Ca and ⁴⁸Ca, respectively. The ⁴⁰Ca was considered to be consisted of ³²S as a core and 1d_3/21f_7/2 subshells as a model space. The ⁴⁸Ca was considered to be consisted of ⁴⁰Ca as a core and 1f_7/22p_3/21f_5/2 2p_1/2 subshells as a model space. The obtained one body-density matrix elements (OBDME) for both interactions for the studied Coulomb transitions:  For ⁴⁰Ca, the three non-normal parity transitions (C3): ,  and  and one C5 transitions,  .  For ⁴⁸Ca, the two C2 transitions:  and  and one C4 transitions  were used in parallel with the transformed harmonic-oscillator basis to compute charge density, elastic electron scattering differential cross-section and elastic and inelastic Coulomb form factors. Finally, the Bohr-Mottelson (B-M), Tassie (T), and valence (V) models were included in the theoretical calculations for the computed inelastic coulomb form factors.