The Deuteron and Exotic Two-Body Bound States from Lattice QCD
Abstract
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 ~ 390 MeV are presented. Calculations were performed with an anisotropic n_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_s ~ 0.123 fm in the spatial-direction, and b_t ~ b_s/3.5 in the time-direction. The Xi-Xi- is found to be bound by B_{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_d = 11(05)(12) MeV and B_{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_H = 13.2(1.8)(4.0) MeV at this pion mass, updating our previous result.
Cite
@article{arxiv.1109.2889,
title = {The Deuteron and Exotic Two-Body Bound States from Lattice QCD},
author = {S. R. Beane and E. Chang and W. Detmold and H. W. Lin and T. C. Luu and K. Orginos and A. Parreno and M. J. Savage and A. Torok and A. Walker-Loud},
journal= {arXiv preprint arXiv:1109.2889},
year = {2013}
}
Comments
25 pages, 30 figures