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arXiv · 1203.3642

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

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

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The HAL QCD Collaboration, Noriyoshi Ishii, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki. 2012-03-16. Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice. https://doi.org/10.1016/j.physletb.2012.04.076

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