Two nucleon systems at m[subscript π] ∼ 450 MeV from lattice QCD
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PhysRevD.92.114512.pdf
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Author(s) • • • • •
Orginos, Kostas
Parreno, Assumpta
Savage, Martin J.
Beane, Silas R.
Chang, Emmanuel
Detmold, William
Date Issued
December 2015
Journal
Physical Review D
Publisher
American Physical Society
Citation
Orginos, Kostas, Assumpta Parreno, Martin J. Savage, Silas R. Beane, Emmanuel Chang, and William Detmold. “Two Nucleon Systems At m[subscript π] ∼ 450 MeV from Lattice QCD.” Phys. Rev. D 92, no. 11 (December 23, 2015). © 2015 American Physical Society
Version
Final published version
Abstract
Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of m[subscript π] ∼ 450 MeV in three spatial volumes using n[subscript f] = 2 + 1 flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be B[subscript d] = 14.4[+3.2 over -2.6] MeV, while the dineutron is bound by B[subscript nn] = 12.5[+3.0 over -5.0] MeV. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the [superscript 1]S[subscript 0] and [superscript 3]S[subscript 1] - [superscript 3]D[subscript 1] channels are found to be similar to those in nature, and indicate repulsive short-range components of the interactions, consistent with phenomenological nucleon-nucleon interactions. In both channels, the phase shifts are determined at three energies that lie within the radius of convergence of the expansion, allowing for constraints to be placed on the inverse scattering lengths and effective ranges. The extracted phase shifts allow for matching to nuclear effective field theories, from which low-energy counterterms are extracted and issues of convergence are investigated. As part of the analysis, a detailed investigation of the single hadron sector is performed, enabling a precise determination of the violation of the Gell-Mann–Okubo mass relation.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.92.114512