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arXiv 1106.2276hep-lathep-phnucl-exnucl-th
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格点量子色动力学中三核子力的研究

Exploring Three-Nucleon Forces in Lattice QCD

Takumi Doi, Sinya Aoki, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki, for HAL QCD Collaboration

摘要:

用双味格点量子色动力学方法研究了三核子力。我们利用Nambu-Bethe-Salpeter(NBS)波函数在同一框架下确定了两核子力(2NF)和3 NF。作为第一个探索性的研究,我们提取3 NF中,三个核子线性排列的间距相等。这是最简单的几何配置,其减少了计算NBS波函数的巨大计算成本。三核子系统的量子数取为(I,J^P)=(1/2,1/2^+)(triton通道)。在一个16^3 × 32的大夸克质量(m π= 1.13 GeV)晶格上,采用N_f=2的动力学三叶草费米子组态,在晶格间距a = 0.156 fm处进行了格点量子色动力学模拟.在triton通道中发现了近距离排斥的3 NF。讨论了系统误差的几种来源。

英文摘要:

Three-nucleon forces (3NF) are investigated from two-flavor lattice QCD simulations. We utilize the Nambu-Bethe-Salpeter (NBS) wave function to determine two-nucleon forces (2NF) and 3NF in the same framework. As a first exploratory study, we extract 3NF in which three nucleons are aligned linearly with an equal spacing. This is the simplest geometrical configuration which reduces the huge computational cost of calculating the NBS wave function. Quantum numbers of the three-nucleon system are chosen to be (I, J^P)=(1/2,1/2^+) (the triton channel). Lattice QCD simulations are performed using N_f=2 dynamical clover fermion configurations at the lattice spacing of a = 0.156 fm on a 16^3 x 32 lattice with a large quark mass corresponding to m_π= 1.13 GeV. We find repulsive 3NF at short distance in the triton channel. Several sources of systematic errors are also discussed.

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