TY - JOUR
AU - Hasan, M.A.
AU - Taqi, A.H.
PY - 2023/10/20
Y2 - 2024/07/23
TI - Proton and Neutron Pairing Properties within a Mixed Volume-Surface Pairing Type Using the Hartree–Fock–Bogolyubov Theory
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 68
IS - 9
SE - Fields and elementary particles
DO - 10.15407/ujpe68.9.577
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023174
SP - 577
AB - <p>This work aims at systematic investigations of the proton and neutron pairing properties and Fermi energies in the region from the proton drip-line to the neutron drip-line. In order to obtain a more accurate mass formula with the Skyrme (SKI3) force, the global descriptive power of the Skyrme–Hartree–Fock–Bogoliubov model for pairing properties is applied. Systematic Skyrme–HFB calculations with a mixed volume-surface pairing are carried out to study the ground-state proton pairing gap, neutron and proton pairing energies, and the neutron and proton Fermi energies for about 2095 even-even nuclei ranging from 2 ≤ Z ≤ 110 to 2 ≤ N ≤ 236 . The calculated values of proton pairing gaps are compared with experimental data, by using the difference-point formulas Δ<sup>(3)</sup>, Δ<sup>(4)</sup>, and Δ<sup>(5)</sup>, and compared with the proton pairing gap in the Lipkin–Nogami model. It is shown that the Skyrme (SKI3) force with the mixed volume-surface pairing can be successfully used for describing the ground-state proton pairing gap, proton and neutron pairing energies, and proton and neutron Fermi properties of the investigated nuclei, in particular, the neutron-rich nuclei and the exotic nuclei near the neutron drip-line. On the other hand, the calculated proton pairing gap shows the acceptable agreement with the available experimental values of the proton pairing gap with the use of the difference-point formulas Δ<sup>(3)</sup>, Δ<sup>(4)</sup>, and Δ<sup>(5)</sup> and with the data of the Lipkin–Nogami model over the whole nuclear chart.</p>
ER -