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

Noriyoshi Ishii, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki
2012 Physics Letters B  
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
more » ... ly for the nucleon-nucleon interaction (the potential and the phase shift) in the 1S_0 channel.
doi:10.1016/j.physletb.2012.04.076 fatcat:wtbdoqvfqjhffj2v5bnwrjb4y4