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Title: Two-Nucleon Systems in a Finite Volume

I present the formalism and methodology for determining the nucleon-nucleon scattering parameters from the finite volume spectra obtained from lattice quantum chromodynamics calculations. Using the recently derived energy quantization conditions and the experimentally determined scattering parameters, the bound state spectra for finite volume systems with overlap with the 3S1-3D3 channel are predicted for a range of volumes. It is shown that the extractions of the infinite-volume deuteron binding energy and the low-energy scattering parameters, including the S-D mixing angle, are possible from Lattice QCD calculations of two-nucleon systems with boosts of |P| <= 2pi sqrt{3}/L in volumes with spatial extents L satisfying fm <~ L <~ 14 fm.
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-13-1835; arXiv:1309.7923; DOE/OR/23177-2983
DOE Contract Number:
Resource Type:
Resource Relation:
Journal Name: PoS; Journal Volume: LATTICE2013; Conference: Lattice 2013, 29 July - 3 August 2013, Mainz, Germany
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States