arXiv 1508.075832015-08hep-lathep-phnucl-th

格点量子色动力学中$m_π\sim 450~{\rm MeV}$上的两个核子系统

Two Nucleon Systems at $m_π\sim 450~{\rm MeV}$ from Lattice QCD

Kostas Orginos, Assumpta Parreno, Martin J. Savage, Silas R. Beane, Emmanuel Chang, William Detmold

备注：: 29 pages, 31 figures, Erratum from 2020 included
发表信息：: Phys. Rev. D 92, 114512 (2015)
DOI：: 10.1103/PhysRevD.92.114512

摘要：

用晶格量子色动力学方法研究了π质量为$m_π\sim 450~{\rm MeV}$的核子-核子系统在三个空间体积中的轻夸克$n_f=2+1$味.在夸克质量下，氘核的结合能为$B_d = 14.4^{+3.2}_{-2.6} ~{\rm MeV}$，而双中子的结合能为$B_{nn} = 12.5^{+3.0}_{-5.0}~{\rm MeV}$。在所研究的能量范围内，在1 S 0和3S 1 - 3D 1通道中计算的S波散射相移被发现与自然界中的那些类似，并且指示相互作用的排斥短程分量，与唯象的核子-核子相互作用一致。在这两个通道中，相移确定在三个能量，位于有效范围扩展的收敛半径内，允许约束被放置在逆散射长度和有效范围。所提取的相移允许匹配到核有效场论，从其中提取低能量反项并研究收敛问题。作为分析的一部分，单强子部门进行了详细的调查，使违反盖尔曼-大久保质量关系的精确测定。[An出版版本的勘误表作为附录包括在内。它详细说明了2020年发现的错误的影响，并纠正了印刷错误。

英文摘要：

Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_π\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be $B_d = 14.4^{+3.2}_{-2.6} ~{\rm MeV}$, while the dineutron is bound by $B_{nn} = 12.5^{+3.0}_{-5.0}~{\rm MeV}$. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the 1S0 and 3S1-3D1 channels are found to be similar to those in nature, and indicate repulsive short-range components of the interactions, consistent with phenomenological nucleon-nucleon interactions. In both channels, the phase shifts are determined at three energies that lie within the radius of convergence of the effective range expansion, allowing for constraints to be placed on the inverse scattering lengths and effective ranges. The extracted phase shifts allow for matching to nuclear effective field theories, from which low energy counterterms are extracted and issues of convergence are investigated. As part of the analysis, a detailed investigation of the single hadron sector is performed, enabling a precise determination of the violation of the Gell-Mann--Okubo mass relation. [An Erratum to the published version is included as an appendix. It details the impact of an error discovered in 2020 and corrects typographical errors.]

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