Властивості змішаного об’ємно-поверхневого двійкування протонів і нейтронів в теорії Хартрі–Фока–Боголюбова

• Дата: 2023
• Автори: Hasan, M.A., Taqi, A.H.
• Формат: Стаття
• Мова: English
• Опубліковано: Publishing house "Academperiodika" 2023
• Теми: теорiя Скiрма–Хартрi–Фока–Боголюбова; щiлина протонного двiйкування; енергiя двiйкування; енергiя Фермi; Skyrme–Hartree–Fock–Bogoliubov theory (SHFB); proton pairing gap; proton and neutron pairing energies; proton and neutron Fermi energies
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023174
• Назва журналу: Ukrainian Journal of Physics

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(3), Δ(4), and Δ(5), 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(3), Δ(4), and Δ(5) and with the data of the Lipkin–Nogami model over the whole nuclear chart.