Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-12-17
Physics
High Energy Physics
High Energy Physics - Lattice
7pages, 2figures. Talk presented at The XXVIII International Symposium on Lattice Field Theory, Lattice2010, June 14-19, 2010,
Scientific paper
The Nambu-Bethe-Salpeter (NBS) wave function for two nucleons on the lattice has been shown to yield a non-local and energy-independent nucleon-nucleon (NN) potential, U(r,r'). In practice, the derivative expansion of U(r,r') is currently employed to determine the potential at low energies. In this report, we study the magnitude of non-locality to check the convergence of such a derivative expansion. With quenched lattice QCD at m_\pi = 530MeV, we compare the NN potentials at the center of mass energy E ~ 0 MeV and at E ~ 45 MeV. We also investigate the angular momentum dependence of the spin singlet potential, by comparing the potentials in 1S0 and 1D2 channels. We find that the non-locality and the angular momentum dependence in the above energy range are negligible within statistical errors.
Aoki Sinya
Hatsuda Tetsuo
Ishii Noriyoshi
Murano Keiko
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