Ground State Properties of Even-Even 30−92Ca Isotopes Using HFB Theory.

Abstract

Ground State (GS) Properties of Even-Even isotopes have been studied in frame of Skyrme Hartree-Fock-Bogoliubov using computer program HFBTHO V3.00 with three types of Skyrme interactions (HFB9, SLY4 and SLY5). The calculated nuclear properties including (average binding energy (BE/A ), two nucleon separation energy (S2N ), two neutron shell gap ( δ2N), quadrupole deformation parameter (β2 ), charge radii ( Rch), neutron and proton radii (RN, RP ) and skin thickness) were compared with the available experimental data and with the results of Finite Range Droplet Macroscopic method (FRDM) and Relativistic Mean Field (RMF) theory. According to Binding energy ( BE/A), it turns out that it increases directly with increase directly with the increases in neutron number until arrive its Max. value at the region between (N=20-30 ) which is due to the effect of the two magic numbers ( N=20, 28), after this region BE/A start to decrease progressively.

Keywords

• nuclear structure
• ground-state properties
• skyrme-hartree-fock-bogoliubov method
• average binding energy
• quadrupole deformation parameter
• two-nucleon separation energy