arXiv:1203.3642·v1·High Energy Physics — Lattice
Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice
The HAL QCD Collaboration: Noriyoshi Ishii (CCS, Univ. Tsukuba)🇯🇵 · Sinya Aoki (GSPAS, Univ. Tsukuba)🇯🇵 · Takumi Doi (Nishina Ctr., RIKEN)🇯🇵 · Tetsuo Hatsuda (Nishina Ctr., RIKEN & Univ. Tokyo)🇯🇵 · Yoichi Ikeda (TITECH)🇯🇵 · Takashi Inoue (Nihon U.)🇯🇵 · Keiko Murano (Nishina Ctr., RIKEN)🇯🇵 · Hidekatsu Nemura (CCS, Univ. Tsukuba)🇯🇵 · Kenji Sasaki (CCS, Univ. Tsukuba)🇯🇵
Abstract
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.
Comments: 13 pages, 6 figures