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arXiv · 1012.3814

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

Keiko Murano·Noriyoshi Ishii·Sinya Aoki·Tetsuo Hatsuda
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Abstract

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_π= 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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Keiko Murano, Noriyoshi Ishii, Sinya Aoki, Tetsuo Hatsuda. 2010-12-17. Non-locality of the nucleon-nucleon potential from Lattice QCD. https://arxiv.org/abs/1012.3814

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