Hadron-hadron interactions from imaginary-time Nambu-Bethe-Salpeter wave function on the lattice

Imaginary-time Nambu-Bethe-Salpeter (NBS) wave function is introduced to extend our previous approach for hadron-hadron interactions on the lattice. Scattering states of hadrons with different energies encoded in the NBS wave function are utilized to extract non-local hadron-hadron potential. The ground state saturation, which is commonly used in lattice QCD but is hard to be achieved for multi-baryons, is not required. We demonstrate that the present method works efficiently for the nucleon-nucleon interaction (the potential and the phase shift) in the S-1(0) channel. (C) 2012 Elsevier B.V. All rights reserved.