Study of Hyperon-Nucleon Potential From Lattice QCD
We study p{Xi}{sup 0} and p{Lambda} forces by using quenched lattice QCD. The Bethe-Salpeter amplitude is calculated for the lowest scattering state of the systems. The numerical calculation is twofold: (i) For the p{Xi}{sup 0}, the potentials and scattering lengths are obtained by using 32{sup 3} x 32 lattice with {beta} = 5.7, the lattice spacing of a = 0.1416(9) fm, and two kinds of ud quark mass corresponding to m{sub {pi}} = 0.37 GeV and 0.51 GeV. The present results indicate that the p{Xi}{sup 0} interactions are both attractive at {sup 1}S{sub 0} and {sup 3}S{sub 1} channels, and the interaction in the {sup 3}S{sub 1} is more attractive than in the {sup 1}S{sub 0}. These attractive forces become stronger as the u, d quark mass decreases. (ii) For the p{Lambda}, the potentials are calculated by using the 32{sup 3} x 48 lattice, and two kinds of ud quark mass corresponding to m{sub {pi}} = 0.47 GeV and 0.51 GeV. The present preliminary result shows that the p{Lambda} interactions are both attractive at {sup 1}S{sub 0} and {sup 3}S{sub 1} channels.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
- Sponsoring Organization:
- DOE - OFFICE OF SCIENCE
- DOE Contract Number:
- DE-AC02-98CH10886
- OSTI ID:
- 1019483
- Report Number(s):
- BNL-94984-2011-JA; R&D Project: PO-3; TRN: US1103639
- Journal Information:
- International Journal of Modern Physics E, Vol. 19, Issue 12; ISSN 0218-3013
- Country of Publication:
- United States
- Language:
- English
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