Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2012-03-15
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 6 figures, presented at the XXIX International Symposium on Lattice Field Theory (Lattice2011), July 10-16, 2011, Squ
Scientific paper
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 $^1S_0$ channel, the central $\Sigma N (I=3/2, ^1S_0)$ potential and the central $\Lambda N (^1S_0)$ potential are found to be very similar. In the spin triplet ($^3S_1-^3D_1$) channels, the central $\Lambda N(^3S_1-^3D_1)$ potential is attractive while the central $\Sigma N(I=3/2, ^3S_1-^3D_1)$ potentials is repulsive. Tensor potentials, on the other hand, are rather weak in the diagonal part of both $\Lambda N$ and $\Sigma N(I=3/2)$ systems.
for HAL QCD Collaboration
Nemura Hidekatsu
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