Two nucleon systems at m π ∼ 450 MeV from lattice QCD

Two nucleon systems at m π ∼ 450 MeV from lattice QCD
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来自晶格 QCD 的 m π 〜 450 MeV 的两个核子系统

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
W. Detmold
W. Detmold
中科院分区:
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文献类型:
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作者:
K. Orginos;A. Parreño;M. Savage;S. Beane;E. Chang;W. Detmold

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用晶格量子色动力学方法研究了m π = 450 MeV的核子-核子系统,在三个空间体积中,用nf 1/2 ~ 1味轻夸克.在这项工作中使用的夸克质量,氘核结合能计算为B d 14。四点零三分。二比二6 MeV,而双中子由B nn 12束缚。五点零三分。0 - 5 0兆电子伏。在所研究的能量范围内,在1 S 0和3 S 1 − 3 D 1通道中计算的S波散射相移与自然界中的类似,并且表明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,位于收敛的扩张半径内,允许的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理论,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。
Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of m π ∼ 450 MeV in three spatial volumes using n f ¼ 2 þ 1 flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be B d ¼ 14 . 4 þ 3 . 2 − 2 . 6 MeV, while the dineutron is bound by B nn ¼ 12 . 5 þ 3 . 0 − 5 . 0 MeV. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the 1 S 0 and 3 S 1 − 3 D 1 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 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.