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Baryon-baryon interaction of strangeness S=-1 sector

We present our recent studies on hyperon-nucleon (YN) interactions in the strangeness S=-1 that $pΛ, Σ^0 p$ and $Σ^+ n$, by extracting corresponding potentials through Nambu-Bethe-Salpeter wave functions. We calculate $ΛN$ and $ΣN$ potentials in the isospin I=3/2 channel, using the $N_f=2+1$ gauge configurations generated by PACS-CS collaboration and employing an improved method to obtain potentials in lattice QCD simulations. For the $^1S_0$ channel, the central $ΣN (I=3/2, ^1S_0)$ potential and the central $ΛN (^1S_0)$ potential are found to be very similar. In the spin triplet ($^3S_1-^3D_1$) channels, the central $ΛN(^3S_1-^3D_1)$ potential is attractive while the central $ΣN(I=3/2, ^3S_1-^3D_1)$ potentials is repulsive. Tensor potentials, on the other hand, are rather weak in the diagonal part of both $ΛN$ and $ΣN(I=3/2)$ systems.

preprint2012arXivOpen access

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