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arxiv: 1203.3642 · v1 · pith:XIEFNCBNnew · submitted 2012-03-16 · ✦ hep-lat

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 , Takumi Doi (Nishina Ctr. , RIKEN) , Tetsuo Hatsuda (Nishina Ctr. , RIKEN & Univ. Tokyo) , Yoichi Ikeda (TITECH)
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Takashi Inoue (Nihon U.) Keiko Murano (Nishina Ctr. Hidekatsu Nemura (CCS Kenji Sasaki (CCS
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classification ✦ hep-lat
keywords hadron-hadronlatticefunctionimaginary-timeinteractionsnambu-bethe-salpeterpotentialwave
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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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