Central and tensor Lambda-nucleon potentials from lattice QCD

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We present our latest study of Lambda-Nucleon (LN) interaction by using lattice QCD, following up on our report at LATTICE 2008.

• We have calculated not only the scattering lengths but also the central and tensor potentials, which are obtained from the Bethe-Salpeter (BS) amplitude measured in lattice QCD.
• For these calculations, we employ two different types of gauge configurations: (i) 2+1 flavor full QCD configurations generated by the PACS-CS collaboration at $\beta=1.9$ ($a=0.0907(13)$ fm) on a $32^3\times 64$ lattice, whose spatial volume is (2.90 fm)$^3$, with the quark masses corresponding to $(m_\pi,m_K)\approx (301,592)$, $(414,637)$, $(570,724)$ and $(699,787)$ (in units of MeV).
• (ii) Quenched QCD configurations at $\beta=5.7$ ($a=0.1416(9)$ fm) on a $32^3\times48$ lattice, whose spatial volume is (4.5 fm)$^3$, with the quark masses corresponding to $(m_\pi,m_K)\approx (512,606)$, $(464, 586)$ and $(407,565)$.