Deuteron and exotic two-body bound states from lattice QCD. Beane, S. R., Chang, E., Detmold, W., Lin, H. W., Luu, T. C., Orginos, K., Parreño, A., Savage, M. J., Torok, A., & Walker-Loud, A. Physical Review D - Particles, Fields, Gravitation and Cosmology, 2012. doi abstract bibtex Results of a high-statistics, multivolume lattice QCD exploration of the deuteron, the dineutron, the H-dibaryon, and the $\Xi$ -$\Xi$ - system at a pion mass of m $\pi$∼390MeV 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, 2.9, and 3.9fm, with a lattice spacing of b s∼0.123fm in the spatial direction and b t∼b s/3.5 in the time direction. Using the results obtained in the largest two volumes, the $\Xi$ -$\Xi$ - is found to be bound by B$\Xi$ -$\Xi$ -0=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. Further, we find that the deuteron and the dineutron have 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. \textcopyright 2012 American Physical Society.
@article{Beane2012b,
abstract = {Results of a high-statistics, multivolume lattice QCD exploration of the deuteron, the dineutron, the H-dibaryon, and the $\Xi$ -$\Xi$ - system at a pion mass of m $\pi$∼390MeV 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, 2.9, and 3.9fm, with a lattice spacing of b s∼0.123fm in the spatial direction and b t∼b s/3.5 in the time direction. Using the results obtained in the largest two volumes, the $\Xi$ -$\Xi$ - is found to be bound by B$\Xi$ -$\Xi$ -0=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. Further, we find that the deuteron and the dineutron have 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. {\textcopyright} 2012 American Physical Society.},
archivePrefix = {arXiv},
arxivId = {1109.2889},
author = {Beane, S. R. and Chang, E. and Detmold, W. and Lin, H. W. and Luu, T. C. and Orginos, K. and Parre{\~{n}}o, A. and Savage, M. J. and Torok, A. and Walker-Loud, A.},
doi = {10.1103/PhysRevD.85.054511},
eprint = {1109.2889},
issn = {15507998},
journal = {Physical Review D - Particles, Fields, Gravitation and Cosmology},
number = {5},
title = {{Deuteron and exotic two-body bound states from lattice QCD}},
volume = {85},
year = {2012}
}
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Using the results obtained in the largest two volumes, the $\\Xi$ -$\\Xi$ - is found to be bound by B$\\Xi$ -$\\Xi$ -0=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. Further, we find that the deuteron and the dineutron have binding energies of B d=11(05)(12)MeV and B nn=7.1(5.2)(7.3)MeV, respectively. 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