论文标题
与局部交换项的协变密度功能理论
Covariant Density Functional Theory with Localized Exchange Terms
论文作者
论文摘要
提出了一个新的密度依赖性点耦合协变量函数PCF-PK1,其中四个fermion项的交换项是局部的,并考虑到FIELZ变换。 PCF-PK1函数的耦合常数由经验饱和特性和核物质的状态和质子内部狄拉克质量分割以及所选球形核的基层特性确定。 PCF-PK1的成功用无限核物质和有限核的特性说明了,包括地面特性和Gamow-Teller共振。特别是,PCFPK1消除了z = 58和z = 92处的伪造壳闭合,这通常在许多协变量密度函数中存在,而无需交换项。此外,在没有任何可调节参数的情况下,可以很好地再现游戏的谐振,这表明可以使用PCF-PK1中的本地化交换项来实现Gamow-Teller共振的自洽描述。 ?
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. ?