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

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. 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:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
NPLQCD Collaboration
OSTI Identifier:
1233509
Alternate Identifier(s):
OSTI ID: 1233893
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
Resource Type:
Journal Article: 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)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., Beane, Silas R., Chang, Emmanuel, and Detmold, William. Two nucleon systems at mπ~450MeV from lattice QCD. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.114512.
Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., Beane, Silas R., Chang, Emmanuel, & Detmold, William. Two nucleon systems at mπ~450MeV from lattice QCD. United States. https://doi.org/10.1103/PhysRevD.92.114512
Orginos, Kostas, Parreño, Assumpta, Savage, Martin J., Beane, Silas R., Chang, Emmanuel, and Detmold, William. 2015. "Two nucleon systems at mπ~450MeV from lattice QCD". United States. https://doi.org/10.1103/PhysRevD.92.114512. https://www.osti.gov/servlets/purl/1233509.
@article{osti_1233509,
title = {Two nucleon systems at mπ~450MeV from lattice QCD},
author = {Orginos, Kostas and Parreño, Assumpta and Savage, Martin J. and Beane, Silas R. and Chang, Emmanuel and Detmold, William},
abstractNote = {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.},
doi = {10.1103/PhysRevD.92.114512},
url = {https://www.osti.gov/biblio/1233509}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 11,
volume = 92,
place = {United States},
year = {Wed Dec 23 00:00:00 EST 2015},
month = {Wed Dec 23 00:00:00 EST 2015}
}

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Cited by: 81 works
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Works referencing / citing this record:

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From effective field theories to effective density functionals in and beyond the mean field
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Chiral EFT based nuclear forces: achievements and challenges
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Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
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