Hartree–Fock–Bogoliubov calculation of ground state properties of even–even and odd Mo and Ru isotopes

Abstract

In a previous work [Int. J. Mod. Phys. E 24, 1550073 (2015)], hereafter referred as paper I, we have investigated the ground-state properties of Nd, Ce and Sm isotopes within Hartree-Fock-Bogoliubov method with SLy5 skyrme force in which the pairing strength has been generalized with a new proposed formula. However, that formula is more appropriate for the region of Nd. In this work, we have studied the ground-state properties of both even-even and odd Mo and Ru isotopes. For this, we have used HartreeFock-Bogoliubov method with SLy4 skyrme force, and a new formula of the pairing strength which is more accurate for this region of nuclei. The results have been compared with available experimental data, the results of Hartree-Fock-Bogoliubov calculations based on the D1S Gogny effective nucleon-nucleon interaction and predictions of some nuclear models such as Finite Range Droplet Model (FRDM) and Relativistic Mean Field (RMF) theory.

Skyrme–Hartree–Fock–Bogoliubov Calculations of Even and Odd Neutron-Rich Mg Isotopes

“…7 is that the even nuclei have larger pairing gaps than that of odd nuclei for all the examined interactions, and, especially, for Skyrme SLy4 set. This occurs, because the block-ing of one state in the odd nuclei does not contribute to the pairing potential, leading to overall smaller single particle gaps [26,29]. It is seen from Fig.…”

“…The welldefined spherical shape was obtained for 22→24 Mg isotopes. All deformed isotopes of Mg turn out prolate with the exception of 26 Mg. The potential energy curve of 32 Mg has well-defined prolate minima and shows an inflection point at the axial quadrupole moment 𝑄 = 1.5𝑏.…”

“…An important information about nuclear properties can be obtained from the calculations of quadrupole deformation parameter (𝛽 2 ) such as the size, quadrupole moment, and shape of the nucleus (spherical or deformed) [26].…”

“…7. The results are compared with many finite-difference formulas, which are often interpreted as a measurement of the empirical pairing gap of three-point Δ 𝑍 difference formulas [26,28,29]. The three-point Δ…”

“…The neutron pairing gaps (effective gap) of HF-BTHO code is defined as the mean value of the pairing field Δ [10,26]:…”