Baryon-baryon interaction of strangeness S=-1 sector

preprint2012arXivOpen access

Abstract

We present our recent studies on hyperon-nucleon (YN) interactions in the strangeness S=-1 that pΛ,Σ0ppΛ, Σ^0 p and Σ+nΣ^+ n, by extracting corresponding potentials through Nambu-Bethe-Salpeter wave functions. We calculate ΛNΛN and ΣNΣN potentials in the isospin I=3/2 channel, using the Nf=2+1N_f=2+1 gauge configurations generated by PACS-CS collaboration and employing an improved method to obtain potentials in lattice QCD simulations. For the 1S0^1S_0 channel, the central ΣN(I=3/2,1S0)ΣN (I=3/2, ^1S_0) potential and the central ΛN(1S0)ΛN (^1S_0) potential are found to be very similar. In the spin triplet (3S1−3D1^3S_1-^3D_1) channels, the central ΛN(3S1−3D1)ΛN(^3S_1-^3D_1) potential is attractive while the central ΣN(I=3/2,3S1−3D1)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 ΛNΛN and ΣN(I=3/2)ΣN(I=3/2) systems.

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