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arXiv 2003.02179nucl-thnucl-ex
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基于相对论核能密度泛函的磁偶极激发

Magnetic dipole excitations based on the relativistic nuclear energy density functional

G. Kruzic, T. Oishi, D. Vale, N. Paar

摘要:

磁偶极(M1)激发不仅建立了核子跃迁的基本模式,而且它们也与核天体物理学应用有关。建立了一个基于相对论核能密度泛函的M1跃迁理论框架。为此,本文采用密度依赖的点耦合作用DD-PC_1建立了相对论准粒子无规相近似(RQRPA),并补充了等矢量-赝矢量相互作用通道,以研究反常宇称跃迁。用核加双核子系统的M1求和规则验证了所引入的框架,并将其应用于幻核$^{48}$ Ca和$^{208}$ Pb,开壳核$^{42}$ Ca和$^{50}$ Ti中与电磁探针有关的自旋、轨道、等尺度和等矢量M1跃迁强度的研究.在这些系统中,等矢量自旋翻转M1跃迁占主导地位,主要是在一个或两个自旋轨道伙伴状态之间。结果表明,配对关联对M1模的质心能量和主峰位置有显著影响。M1激发可以为进一步研究核能密度泛函提供额外的约束。

英文摘要:

Magnetic dipole (M1) excitations build not only a fundamental mode of nucleonic transitions, but they are also relevant for nuclear astrophysics applications. We have established a theory framework for description of M1 transitions based on the relativistic nuclear energy density functional. For this purpose the relativistic quasiparticle random phase approximation (RQRPA) is established using density dependent point coupling interaction DD-PC1, supplemented with the isovector-pseudovector interaction channel in order to study unnatural parity transitions. The introduced framework has been validated using the M1 sum rule for core-plus-two-nucleon systems, and employed in studies of the spin, orbital, isoscalar and isovector M1 transition strengths, that relate to the electromagnetic probe, in magic nuclei $^{48}$Ca and $^{208}$Pb, and open shell nuclei $^{42}$Ca and $^{50}$Ti. In these systems, the isovector spin-flip M1 transition is dominant, mainly between one or two spin-orbit partner states. It is shown that pairing correlations have a significant impact on the centroid energy and major peak position of the M1 mode. The M1 excitations could provide an additional constraint to improve nuclear energy density functionals in the future studies.

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