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Title: Two nucleon systems at mπ~450MeV from lattice QCD

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. Thus, 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.
Authors:
 [1] ;  [2] ;  [3] ;  [3] ;  [3] ;  [4]
  1. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
  2. Univ. de Barcelona, Marti Franques (Spain)
  3. Univ. of Washington, Seattle, WA (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
OSTI Identifier:
1233509
Report Number(s):
JLAB--THY-15-2130; DOE/OR/23177--3565; arXiv:1508.07583; INT-PUB--15-042; NSF-KITP--15-120; NT@UW--15-09; MIT-CTP--4709
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1601149
Grant/Contract Number:
OCI-1053575; PHY1206498; NSF PHY11- 25915; AC02-05CH11231; SC001347; FG02-04ER41302; FG02-00ER41132; AC05-00OR22725; AC05-06OR23177; SC0010495; FIS2011-24154
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 11; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Orgs:
NPLQCD Collaboration
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS