An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD

Details An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD

1994-07-19

arxiv.org/abs/hep-lat/9407012v1

Phys.Rev.Lett. 73 (1994) 2176-2179

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages. Latex file. Figures are also included as ps files

Scientific paper

10.1103/PhysRevLett.73.2176

An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to $m_\pi/m_\rho\approx 0.73-0.95$. The results show that the $N$-$N$ system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the $\pi$-$N$ and $\pi$-$\pi$ cases, a trend which is qualitatively consistent with the experiment. Problems toward a more realistic calculation for light quarks are discussed.

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