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An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD | | M. Fukugita
; Y. Kuramashi
; H. Mino
; M. Okawa
; A. Ukawa
; | | Date: |
19 Jul 1994 | | Journal: | Phys.Rev.Lett. 73 (1994) 2176-2179 | | Subject: | hep-lat nucl-th | | Abstract: | 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 $m_pi/m_
hoapprox 0.73-0.95$. 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. | | Source: | arXiv, hep-lat/9407012 | | Services: | Forum | Review | PDF | Favorites | |
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