论文标题
比较远距离锥形交换的不同密度 - 矩阵膨胀
Comparing different density-matrix expansions for long-range pion exchange
论文作者
论文摘要
经验能量密度函数（EDF）通常在描述核素表的核性质方面成功。但是它们的局限性使用密度 - 矩阵膨胀（DME）将远距离触发相互作用嵌入到Skyrme功能中。乳头影响的最新结果既令人鼓舞又令人困惑，因此需要对DME实施进行仔细的重新检查。在这里，我们采取了第一步，重点是DME中的两体标量术语。所有考虑的DME实现都符合具有远距离贡献的交换能量，并且偏爱在每个EDF期间都不会在两个衍生物上截断的变体。因此，本研究支持了DME用于手性裂缝的贡献。对于标量 - 分子能量，分别处理中子和质子很重要。尽管尚未测试自一矛盾，但发现结果适用于广泛条件。
Empirical energy density functionals (EDFs) are generally successful in describing nuclear properties across the table of nuclides. But their limitations motivate using the density-matrix expansion (DME) to embed long-range pion interactions into a Skyrme functional. Recent results on the impact of the pion were both encouraging and puzzling, necessitating a careful re-examination of the DME implementation. Here we take the first steps, focusing on two-body scalar terms in the DME. Exchange energies with long-range one-pion contributions are well approximated by all DME implementations considered, with preference for variants that do not truncate at two derivatives in every EDF term. The use of the DME for chiral pion contributions is therefore supported by this investigation. For scalar-isovector energies it is important to treat neutrons and protons separately. The results are found to apply under broad conditions, although self-consistency is not yet tested.
