1203.3642 (The HAL QCD Collaboration et al.)

Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave
Function on the Lattice    [PDF]

The HAL QCD Collaboration, Noriyoshi Ishii, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki

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 1S_0 channel.

View original: http://arxiv.org/abs/1203.3642