Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory

Abstract

The root-mean square-radius of proton, neutron, matter and charge radii, energy level, inelastic longitudinal form factors, reduced transition probability from the ground state to first-excited 2+ state of even-even isotopes, quadrupole moments, quadrupole deformation parameter, and the occupation numbers for some calcium isotopes for A=42,44,46,48,50 are computed using fp-model space and FPBM interaction. 40Ca nucleus is regarded as the inert core for all isotopes under this model space with valence nucleons are moving throughout the fp-shell model space involving 1f7/2, 2p3/2, 1f5/2, and 2p1/2 orbits. Model space is used to present calculations using FPBM interaction, and with the effects of core-polarization are obtained by the first order core polarization through a microscopic theory is called modified surface delta interaction which allows all higher orbits are excited by particle-hole excitation from the core and model space orbits. Also, each isotope's effective charge is determined by using the collective model by Bohr and Mottelson formula. The current result corresponds to the experimental data by taking into account core polarization effects.

A Comparison between Ericson's Formulae Results and Experimental Data Using New Formulae of Single Particle Level Density

“…Level density is considered an important parameter in many theoretical studies like astrophysical studies and cross-section calculations reaction rates calculations [1][2][3][4][5] .…”

Analyzing the Nuclear Structure of 13O-13B and 13N-13C Mirror Nuclei

“…Recent research has shown exotic nuclei to be one of the largest issues in nuclear physics, along with stable nuclei, and has shown a wide variety of novel occurrences. Nuclear physics is developing swiftly as a result of the increased accessibility to uncommon isotopes that differ from stable nuclei in their neutron-proton ratios 3 . Hence, research on mirror nuclei provides a unique viewpoint on how coulomb interaction may affect single-particle wave functions 4 .…”