论文标题

朝着相对论和非派别学密度函数理论之间的桥梁

Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei

论文作者

Ren, Z. X., Zhao, P. W.

论文摘要

与相似性重新归一化组(SRG)方法首次实现了自洽协变量功能理论的非同性降低。通过求解相应的流动方程,以新颖的膨胀在狄拉克有效质量的逆上求解相应的流动方程,可以计算出降低的非依赖性哈密顿量和密度。对于几个典型的球形核,已证明了该新提出的框架的效率和准确性。发现所有核对所有核的总能量,矢量和标量密度的痕迹以及根平方半径的确切溶液的重现非常好。这使人们可以直接比较和弥合相对论和非依次的核能密度功能理论。

The nonrelativistic reduction of the self-consistent covariant density functional theory is realized for the first time with the similarity renormalization group (SRG) method. The reduced nonrelativistic Hamiltonian and densities are calculated by solving the corresponding flow equations with a novel expansion in terms of the inverse of the Dirac effective mass. The efficiency and accuracy of this newly proposed framework have been demonstrated for several typical spherical nuclei. It is found that the exact solutions of the total energies, traces of vector and scalar densities, and the root-mean-square radii are reproduced quite well for all nuclei. This allows one to directly compare and bridge the relativistic and nonrelativistic nuclear energy density functional theories in the future.

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