论文标题
密度依赖性的自旋轨道相互作用在电荷半径和PB同位素密度的Skyrme-Hartree-fock-Bogoliubov计算中的影响
Effects of density-dependent spin-orbit interactions in Skyrme-Hartree-Fock-Bogoliubov calculations of the charge radii and densities of Pb isotopes
论文作者
论文摘要
我已经调查了PB同位素的$ n = 126 $的电荷radii $ r_c $的$ n $依赖性，并且使用包含密度依赖性旋转型术语的新的Skyrme相互作用的$^{208} $ pb的表面密度为$^{208} $ pb，我将其命名为Skyrme Ddso Itspetrot。我已经比较了使用Skyrme-Hartree-fock-Bogoliubov计算获得的结果，该计算采用了Skyrme-DDSO与原始Skyrme结果，并讨论了包括密度依赖性的自旋轨道项的效果。 $ r_c $ at $ n = 126 $在PB同位素中的扭结行为的结果通过包含密度依赖性旋转 - 轨道项来提高。此外，新的Skyrme计算为$^{208} $ pb的表面质子密度的内部提供了更好的结果。$ r \ sim 5 $ fm。原始Skyrme计算中$ \ ell s $电位的变化通过对Neutron $ 2G_ {7/2,9/2} $ Orbitals的$ \ ell s $ sprapting的影响而造成了纠结行为。它还通过对质子$ 1H_ {11/2} $ orbitals的影响来影响表面质子密度的内部。我进一步证明，旋转术语的等轴与异测比的变化仅对单粒子能量和PB同位素中的扭结行为做出了较小的贡献。此外，我还使用新的Skyrme相互作用的Skyrme-Hartree-fock计算了$^{48} $ Ca，并确定了密度依赖性旋转的影响 - 轨道术语对其半径和密度。
I have investigated the $N$-dependence of the charge radii $r_c$ across $N=126$ in the Pb isotopes and the surface densities of $^{208}$Pb using new Skyrme interactions that contain a density-dependent spin-orbit term, which I have named the Skyrme-ddso interactions. I have compared the results obtained using Skyrme-Hartree-Fock-Bogoliubov calculations that employ the Skyrme-ddso interactions with the original Skyrme results and have discussed the effects of including the density-dependent spin-orbit term. The results for the kink behavior of $r_c$ at $N=126$ in the Pb isotopes were improved by the inclusion of the density-dependent spin--orbit term. Moreover, the new Skyrme calculations yield better results for the inner part of the surface proton density of $^{208}$Pb at $r\sim 5$ fm. The change in the $\ell s$ potentials from the original Skyrme calculation contributes to the kink behavior through its effects on the $\ell s$ splitting of the neutron $2g_{7/2,9/2}$ orbitals. It also affects the inner part of the surface proton density through its effect on the proton $1h_{11/2}$ orbitals. I have further demonstrated that the change in the isoscalar-to-isovector ratio of the spin--orbit term makes only a minor contribution to the single-particle energies and to the kink behavior in the Pb isotopes. In addition, I have investigated $^{48}$Ca using Skyrme-Hartree-Fock calculations with the new Skyrme interactions and have determined the effects of the density-dependent spin--orbit term on its radii and densities.
