发表机构
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences; Max-Planck-Institut für Kernphysik; University of Würzburg（保加利亚科学院核研究与核能研究所; 马克斯·普朗克核物理研究所; 维尔茨堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文用Skyrme-Hartree-Fock-BCS方法，考虑八极形变，理论预测$^{229m}$Th同核异能态跃迁对精细结构常数的敏感性$K\sim10^3-10^4$。
AI 中文摘要
本文从理论上研究了$^{229m}$Th同核异能态跃迁频率对精细结构常数$\alpha$可能的时间变化的敏感性。我们采用带有Skyrme能量密度泛函的自洽Hartree-Fock加Bardeen-Cooper-Schrieffer（BCS）方法，详细考虑了核形状形变和对关联，同时评估了库仑能和同核异能态能量。我们的结果表明，通过精细调节对力强度并考虑轴向八极形变，该模型能够预测低于keV极限的极低同核异能态能量，而在施加反射对称性的情况下则无法达到这一结果。此外，在具有八极形变的模型解中，同核异能态与基态之间的库仑能差比施加反射对称性的情况大一个数量级。这些结果使得在微观核模型框架内，能够完全从理论上预测同核异能态跃迁频率对$\alpha$的敏感性，得到$K\sim 10^3-10^4$的值，并有助于更深入地理解其潜在的物理条件。
英文摘要
The sensitivity of the $^{229m}$Th isomer transition frequency to the possible temporal variation of the fine-structure constant $α$ is investigated theoretically. We evaluate both the Coulomb as well as the isomer energies in a selfconsistent Hartree-Fock plus Bardeen-Cooper-Schrieffer (BCS) approach with Skyrme energy density functional, taking a detailed account of the nuclear shape deformation and pairing correlations. Our results show that by a fine tuning of the pairing strengths and considering axial octupole deformation, the model can predict a very low isomer energy below the keV limit, which is not accessible in the presence of imposed reflection symmetry. Furthermore, in the model solution with octupole deformation, the difference between the Coulomb energy in the isomeric and ground states is one order of magnitude larger than for the case with imposed reflection symmetry. These results allow for a fully theoretical prediction of the sensitivity of the isomer transition frequency to $α$ in the framework of a microscopic nuclear model, yielding values of $K\sim 10^3-10^4$, and for a deeper understanding of its underlying physical conditions.
Comments6 pages, 4 figures
