论文标题
核子核子相互作用的斜质量依赖性
Pion-mass dependence of the nucleon-nucleon interaction
论文作者
论文摘要
裸露和有效的核子核子相互作用在我们对非扰动强相互作用以及核结构和反应的理解中起着重要作用。近年来，在晶格QCD社区中看到了巨大的努力，从而从第一原理中得出核素核子的相互作用。由于所需的艰巨计算资源，大多数此类仿真仍使用大于物理光夸克质量进行。在目前的工作中，采用了最近提出的协变性手性有效田间理论（Cheft），我们研究了HALQCD组提取的核子核子相互作用的光夸克质量依赖性。结果表明，厨师的Pion-Full版本可以用$m_π= 469 $ MEV来描述晶格QCD数据，而无pion-nover的实验版本可以描述与$m_π= 672，837，837，837，837，1015，1015，1015，1015，1171 $ $^1s $^1s $^1S_1 $^1S_1 $^1S_1 $^1S_1 $^1S_1频道。单个通道的描述稍好于三胞胎通道，表明后者需要高阶研究。我们的结果证实了先前的研究，即核子核子的相互作用对单线和三胞胎通道变得更具吸引力，因为锥质质量降低了其物理值。结果表明，$^1S_0 $通道中的虚拟界面状态仍然虚拟地降至手性极限，而迪特隆仅出现小于400 meV的pion质量。对于小于500 meV的pion质量，与中间和一巴里群岛相似的pion质量可能有可能对核子核子相互作用的适当手性外推相互作用。
Nucleon-nucleon interactions, both bare and effective, play an important role in our understanding of the non-perturbative strong interaction, as well as nuclear structure and reactions. In recent years, tremendous efforts have been seen in the lattice QCD community to derive nucleon-nucleon interactions from first principles. Because of the daunting computing resources needed, most of such simulations were still performed with larger than physical light quark masses. In the present work, employing the recently proposed covariant chiral effective field theory (ChEFT), we study the light quark mass dependence of the nucleon-nucleon interaction extracted by the HALQCD group. It is shown that the pion-full version of the ChEFT can describe the lattice QCD data with $m_π=469$ MeV and their experimental counterpart reasonably well, while the pion-less version can describe the lattice QCD data with $m_π=672, 837, 1015, 1171$ MeV, for both the $^1S_0$ and $^3S_1$-$^3D_1$ channels. The slightly better description of the single channel than the triplet channel indicates that higher order studies are necessary for the latter. Our results confirmed previous studies that the nucleon-nucleon interaction becomes more attractive for both the singlet and triplet channels as the pion mass decreases towards its physical value. It is shown that the virtual bound state in the $^1S_0$ channel remains virtual down to the chiral limit, while the deuteron only appears for a pion mass smaller than about 400 MeV. It seems that proper chiral extrapolations of nucleon-nucleon interaction are possible for pion masses smaller than 500 MeV, similar to the mesonic and one-baryon sectors.
