Exploring Three Nucleon Forces in Lattice QCD

Exploring Three Nucleon Forces in Lattice QCD
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DOI:
10.1143/ptp.127.723
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发表时间:
2011-05
期刊:
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影响因子:
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通讯作者:
T. Doi;for Hal Qcd Collaboration
T. Doi;for Hal Qcd Collaboration
中科院分区:
其他
文献类型:
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作者:
T. Doi;for Hal Qcd Collaboration

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利用三核子体系的Nambu‐Bethe‐Salpeter波函数,研究了Nf = 2动力学三叶草费米子格点QCD中的三核子力.由于目前格点QCD中没有宇称-奇二核子势,我们提出了一个新的公式来提取真正的三核子力,它只需要宇称-偶二核子势的信息.为了处理极其昂贵的计算成本,我们考虑了三个核子的特定三维坐标构型。我们发现,线性设置是有利的,其中核子线性排列的间距相等。利用CP-PACS合作组产生的163×32组态,在β = 1.95,mπ = 1.13 GeV下进行了晶格计算,给出了triton通道中三核子力的计算结果.
We study the three nucleon force in Nf = 2 dynamical clover fermion lattice QCD, utilizing the Nambu‐Bethe‐Salpeter wave function of the three nucleon system. Since parity‐odd two nucleon potentials are not available in lattice QCD at this moment, we develop a new formulation to extract the genuine three nucleon force which requires only the information of parity‐even two nucleon potentials. In order to handle the extremely expensive calculation cost, we consider a specific three‐dimensional coordinate configuration for the three nucleons. We find that the linear setup is advantageous, where nucleons are aligned linearly with equal spacings. The lattice calculation is performed with 163×32 configurations at β = 1.95, mπ = 1.13 GeV generated by CP‐PACS Collaboration, and the result of the three nucleon force in triton channel is presented.