The Deuteron and Exotic Two-Body Bound States from Lattice QCD
Results of a high-statistics, multi-volume Lattice QCD exploration of the deuteron, the di-neutron, the H-dibaryon, and the {Xi}-{Xi}- system at a pion mass of m{sub {pi}} ~ 390 MeV are presented. Calculations were performed with an anisotropic n{sub f} = 2+1 Clover discretization in four lattice volumes of spatial extent L ~ 2.0, 2.5, 3.0 and 4.0 fm, with a lattice spacing of b{sub s} ~ 0.123 fm in the spatial-direction, and b{sub t} ~ b{sub s}/3.5 in the time-direction. The {Xi}-{Xi}- is found to be bound by B{sub {Xi}-{Xi}} = 14.0(1.4)(6.7) MeV, consistent with expectations based upon phenomenological models and low-energy effective field theories constrained by nucleon-nucleon and hyperon-nucleon scattering data at the physical light-quark masses. We find weak evidence that both the deuteron and the di-neutron are bound at this pion mass, with binding energies of B{sub d} = 11(05)(12) MeV and B{sub nn} = 7.1(5.2)(7.3) MeV, respectively. With an increased number of measurements and a refined analysis, the binding energy of the H-dibaryon is B{sub H} = 13.2(1.8)(4.0) MeV at this pion mass, updating our previous result.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1054913
- Report Number(s):
- JLAB-THY-11-1436; DOE/OR/23177-1826; arXiv:1109.2889
- Journal Information:
- Phys. Rev. D, Vol. 85, Issue 05
- Country of Publication:
- United States
- Language:
- English
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