论文标题
轴向变形核的相对论Hartree-fock-Bogoliubov模型
Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
论文作者
论文摘要
通过量化Bogoliubov Quasi-quasi-parts中的狄拉克纺纱片，从核力量的中间图片上盯着核力量的核力量图片，既盯着核力量的核力量，既包含平均田地和配对贡献又凝视着Bogoliubov Quasobov Quas的期望，从而使Bogoliubov基地面的期望能够提供完整的能量功能。作为D-RHF模型的扩展，实现了与$ρ$ -TENSOR（$ρ$ -T）耦合相关的自由度，并与Bogoliubov方案合并了有限的Gogny Force D1s D1S被用作配对力。此外，对$π$ -PV和$ρ$ -T耦合的性质的定性分析进行了更好的了解，以更好地理解它们对变形效应的增强。 D-RHFB模型通过取光核$^{24} $ mg和中间重量$^{156} $ sm作为候选者，确认了与球形DWS基础相关的空间收敛。与光核相比，由于具有较大$κ$ - Quantity的扩张组件之间相关性的增强，因此必须使更多的负能量状态保持在球形DWS基础上的扩展完整性，以增强$κ$ -Quantity的相关性，如$κ$ -piquantity的性质所示。此外，由于$π$ -PV和$ρ$ -T耦合的变形效果增强，RHF Lagrangian PKA1与其他选定的Lagrangians相比，针对$^{24} $ MG提出了更深的界限状态，除了预测具有相当深的限制性最小的最小填充量的最小值外，还提出了更深层次的Lagrangians。
Staring from the Lagrangian density that foots on the meson-propagated picture of nuclear force, the full Hamiltonian, that contains both mean field and pairing contributions, is derived by quantizing the Dirac spinor field in the Bogoliubov quasi-particle space, and the expectation with respect to the Bogoliubov ground state gives the full energy functional. As an extension of the D-RHF model, the degree of freedom associated with the $ρ$-tensor ($ρ$-T) coupling is implemented, and incorporating with the Bogoliubov scheme the finite-range Gogny force D1S is utilized as the pairing force. Moreover, qualitative analysis on the nature of the $π$-PV and $ρ$-T couplings are presented for better understanding their enhancements on the deformation effects. Space convergence related to the spherical DWS base is confirmed for the D-RHFB model by taking light nucleus $^{24}$Mg and mid-heavy one $^{156}$Sm as candidates. Compared to light nuclei, extraordinary more negative energy states are necessitated to keep the expansion completeness on the spherical DWS base for mid-heavy and heavy nuclei, due to the enhanced correlations between the expansion components with large $κ$-quantity as indicated by the nature of the $π$-PV and $ρ$-T couplings. Furthermore, because of the enhanced deformation effects by the $π$-PV and $ρ$-T couplings, the RHF Lagrangian PKA1 presents deeper bound ground state for $^{24}$Mg than the other selected Lagrangians, in addition to predicting a fairly deep bound local minimum with large oblate deformation.
