English

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

High Energy Physics - Lattice 2015-06-04 v1

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.

Keywords

Cite

@article{arxiv.1203.3642,
  title  = {Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice},
  author = {The HAL QCD Collaboration and Noriyoshi Ishii and Sinya Aoki and Takumi Doi and Tetsuo Hatsuda and Yoichi Ikeda and Takashi Inoue and Keiko Murano and Hidekatsu Nemura and Kenji Sasaki},
  journal= {arXiv preprint arXiv:1203.3642},
  year   = {2015}
}

Comments

13 pages, 6 figures

R2 v1 2026-06-21T20:35:05.238Z