Microscopic study of the difference in mirror pair nuclei from Z = 8 to Z = 50 in the framework of HFB theory

Abstract

Differences in ground-state properties of mirror pair nuclei from Oxygen (Z = 8) to Tin (Z = 50) have been investigated in the framework of Skyrme Hartree–Fock–Bogoliubov using HFBTHO computer code V3.00 with both harmonic oscillator (HO) and transformed harmonic oscillator (THO) calculations using two types of Skyrme interactions (HFB9 and SKI3). The calculated nuclear properties include differences in binding energy, neutron and proton radii, and charge radii. The calculated binding energy is compared with available experimental data, and nuclear radii are compared with the result of RMF theory. Good agreement can be seen between the calculated results of binding energy for HO and THO with Experimental data, the best was using HFB9 + HO, which is supported by statistical analysis. When the mass number (A) increases, the difference between the binding energy of mirror pair nuclei increases while the difference in nuclear radii decreases.

Keywords

• Mirror nuclei
• HFB
• pairing
• Skyrme HFB
• difference in binding energy
• charge radii