Coupled channel approach to strangeness S = -2 baryon-bayron interactions in Lattice QCD

(HAL QCD Collaboration); Keiko Murano; Kenji Sasaki; Noriyoshi Ishii; Sinya Aoki; Takashi Inoue; Takumi Doi; Tetsuo Hatsuda; Yoichi Ikeda

Coupled channel approach to strangeness S = -2 baryon-bayron interactions in Lattice QCD

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arxiv 1504.01717 v1 pith:YD7V27SO submitted 2015-04-07 hep-lat

Kenji Sasaki , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Takashi Inoue , Noriyoshi Ishii , Keiko Murano

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(HAL QCD Collaboration)

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keywords basischannelcoupledflavorinteractionslatticepotentialstrangeness

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The baryon-baryon interactions with strangeness S = -2 with the flavor SU(3) breaking are calculated for the first time by using the HAL QCD method extended to coupled channel system in lattice QCD. The potential matrices are extracted from the Nambu-Bethe-Salpeter wave functions obtained by the 2+1 flavor gauge configurations of CP-PACS/JLQCD Collaborations with a physical volume of 1.93 fm cubed and with m_pi/m_K = 0.96, 0.90, 0.86. The spatial structure and the quark mass dependence of the potential matrix in the baryon basis and in the SU(3) basis are investigated.

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Hermitizing the HAL QCD potential in the derivative expansion
hep-lat 2019-09 conditional novelty 6.0 of 10

A formalism is given to convert the non-Hermitian HAL QCD potential into a Hermitian one order by order, with exact treatment at next-to-leading order, and the NLO correction for Xi-Xi(1S0) is small.

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