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Title Two Nucleon Systems at $m_\pi\sim 450~{\rm MeV}$ from Lattice QCD
Authors Konstantinos Orginos, Assumpta Parreno, Martin Savage, Emmanuel Chang, Silas Beane, William Detmold
JLAB number JLAB-THY-15-2130
LANL number arXiv:1508.07583
Other number DOE/OR/23177-3565
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
 

Journal
Compiled for Physical Review D
Volume 92
Issue 11
Page(s) 114512
Refereed
Publication Abstract: Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_\pi\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron binding energy is calculated to be $B_d = 14.4^{+3.2}_{-2.6} ~{\rm MeV}$, while the dineutron is bound by $B_{nn} = 12.5^{+3.0}_{-5.0}~{\rm MeV}$. Over the range of energies that are studied, the S-wave scattering phase shifts calculated in the 1S0 and 3S1-3D1 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 effective range 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.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: http://dx.doi.org/10.1103/PhysRevD.92.114512
Accepted Manuscript:
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