2010

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

Murano, Keiko, Ishii, Noriyoshi, Aoki, Sinya et al.

Understand

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.

Built on

  • V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen and J. J. de Swart, Phys. Rev. C 49

    1994

    Earlier work this paper cites.

  • R. B. Wiringa, V. G. J. Stoks and R. Schiavilla, Phys. Rev. C 51

    1995

    Earlier work this paper cites.

  • M. Fukugita, Y. Kuramashi, M. Okawa, H. Mino and A. Ukawa, Phys. Rev. D 52

    1995

    Earlier work this paper cites.

  • R. Machleidt, Phys. Rev. C 63

    2001

    Earlier work this paper cites.

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