Baryon-baryon interaction of strangeness S=-1 sector

Abstract

We present our recent studies on hyperon-nucleon (YN) interactions in the strangeness S=-1 that $p\Lambda ,{\Sigma }^{0}p$ and ${\Sigma }^{+}n$, by extracting corresponding potentials through Nambu-Bethe-Salpeter wave functions. We calculate $\Lambda N$ and $\Sigma N$ 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 ${}^1{S}_0$ channel, the central $\Sigma N(I=3/2{,}^1{S}_0)$ potential and the central $\Lambda N{(}^1{S}_0)$ potential are found to be very similar. In the spin triplet (${}^3{S}_1{-}^3{D}_1$) channels, the central $\Lambda N{(}^3{S}_1{-}^3{D}_1)$ potential is attractive while the central $\Sigma N(I=3/2{,}^3{S}_1{-}^3{D}_1)$ potentials is repulsive. Tensor potentials, on the other hand, are rather weak in the diagonal part of both $\Lambda N$ and $\Sigma N(I=3/2)$ systems.

Comments: 7 pages, 6 figures, presented at the XXIX International Symposium on Lattice Field Theory (Lattice2011), July 10-16, 2011, Squaw Valley, Lake Tahoe, California