Two nucleon systems at mπ~450MeV from lattice QCD

Orginos, Kostas; Parreño, Assumpta; Savage, Martin J.; Beane, Silas R.; Chang, Emmanuel; Detmold, William

doi:10.1103/PhysRevD.92.114512

Title: Two nucleon systems at $m_{π} ~ 450 MeV$ from lattice QCD

Journal Article · Wed Dec 23 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.114512· OSTI ID:1233509

Orginos, Kostas ^[1]; Parreño, Assumpta ^[2]; Savage, Martin J. ^[3]; Beane, Silas R. ^[3]; Chang, Emmanuel ^[3]; Detmold, William ^[4]

College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Univ. de Barcelona, Marti Franques (Spain)
Univ. of Washington, Seattle, WA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: NPLQCD Collaboration

Grant/Contract Number:: OCI-1053575; PHY1206498; NSF PHY11- 25915; AC02-05CH11231; SC001347; FG02-04ER41302; FG02-00ER41132; AC05-00OR22725; AC05-06OR23177; SC0010495; FIS2011-24154

OSTI ID:: 1233509

Alternate ID(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; PRVDAQ; TRN: US1601149

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 11; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 81 works

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