Covariant Density Functional Theory with Localized Exchange Terms
Abstract
A new density-dependent point-coupling covariant density functional PCF-PK1 is proposed, where the exchange terms of the four-fermion terms are local and are taken into account with the Fierz transformation. The coupling constants of the PCF-PK1 functional are determined by empirical saturation properties and ab initio equation of state and proton-neutron Dirac mass splittings for nuclear matter as well as the ground-state properties of selected spherical nuclei. The success of the PCF-PK1 is illustrated with properties of the infinite nuclear matter and finite nuclei including the ground-state properties and the Gamow-Teller resonances. In particular, the PCFPK1 eliminates the spurious shell closures at Z = 58 and Z = 92, which exist commonly in many covariant density functionals without exchange terms. Moreover, the Gamow-Teller resonances are nicely reproduced without any adjustable parameters, and this demonstrates that a self-consistent description for the Gamow-Teller resonances can be achieved with the localized exchange terms in the PCF-PK1. ?
Keywords
Cite
@article{arxiv.2207.01764,
title = {Covariant Density Functional Theory with Localized Exchange Terms},
author = {Qiang Zhao and Zhengxue Ren and Pengwei Zhao and Jie Meng},
journal= {arXiv preprint arXiv:2207.01764},
year = {2022}
}
Comments
35 pages, 14 figures