Non-locality of the nucleon-nucleon potential from Lattice QCD

Details Non-locality of the nucleon-nucleon potential from Lattice QCD Non-locality of the nucleon-nucleon potential from Lattice QCD

2010-12-17

arxiv.org/abs/1012.3814v1

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.

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