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2015•Progress of Theoretical and Experimental PhysicsOpen access

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

Kenji Sasaki, Shunsuke Aoki, Takahiro Doi, T. Hatsuda, Yoichi Ikeda, Takashi Inoue, Nobuyuki Ishii, Keiko Murano

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Abstract

Baryon–baryon interactions with strangeness |$S=-2$| with flavor SU(3) breaking are calculated for the first time by using the HAL QCD method extended to the 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 the CP-PACS|$/$|JLQCD Collaborations with a physical volume of |$(1.93~{\rm fm})^3$| 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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What this paper is about

Baryon–baryon interactions with strangeness |$S=-2$| with flavor SU(3) breaking are calculated for the first time by using the HAL QCD method extended to the 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 the CP-PACS|$/$|JLQCD Collaborations with a physical volume of |$(1.93~{\rm fm})^3$| 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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Available abstract

Baryon–baryon interactions with strangeness |$S=-2$| with flavor SU(3) breaking are calculated for the first time by using the HAL QCD method extended to the 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 the CP-PACS|$/$|JLQCD Collaborations with a physical volume of |$(1.93~{\rm fm})^3$| 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.

Key concepts: Physics, Particle physics, Baryon, Strangeness, Lattice QCD, Quantum chromodynamics, Quark, Lattice gauge theory

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