Nucleon electromagnetic form factors from lattice QCD using 2+1 flavor domain wall fermions on fine lattices and chiral perturbation theory

Journal Article · Mon Feb 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.034507· OSTI ID:21409193

Syritsyn, S N; Bratt, J D; Lin, M F; Meyer, H B; Negele, J W; Pochinsky, A V; Procura, M ^[1]; Engelhardt, M ^[2]; Haegler, Ph ^[3]; Hemmert, T R ^[4]; Schroers, W ^[5]

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1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Physics Department, New Mexico State University, Las Cruces, New Mexico 88003-8001 (United States)
3. Institut fuer Theoretische Physik T39, Physik-Department der TU Muenchen, James-Franck-Strasse, D-85747 Garching (Germany)
4. Theoretische Physik, Universitaet Regensburg, D-93040 Regensburg (Germany)
5. Institute of Physics, Academia Sinica, Taipei 115, Taiwan (China)

We present a high-statistics calculation of nucleon electromagnetic form factors in N{sub f}=2+1 lattice QCD using domain wall quarks on fine lattices, to attain a new level of precision in systematic and statistical errors. Our calculations use 32{sup 3}x64 lattices with lattice spacing a=0.084 fm for pion masses of 297, 355, and 403 MeV, and we perform an overdetermined analysis using on the order of 3600 to 7000 measurements to calculate nucleon electric and magnetic form factors up to Q{sup 2{approx_equal}}1.05 GeV{sup 2}. Results are shown to be consistent with those obtained using valence domain wall quarks with improved staggered sea quarks, and using coarse domain wall lattices. We determine the isovector Dirac radius r{sub 1}{sup v}, Pauli radius r{sub 2}{sup v} and anomalous magnetic moment {kappa}{sub v}. We also determine connected contributions to the corresponding isoscalar observables. We extrapolate these observables to the physical pion mass using two different formulations of two-flavor chiral effective field theory at one loop: the heavy baryon small scale expansion and covariant baryon chiral perturbation theory. The isovector results and the connected contributions to the isoscalar results are compared with experiment, and the need for calculations at smaller pion masses is discussed.

• OSTI ID: 21409193
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevD.81.034507; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPUTERIZED SIMULATION
ELECTROMAGNETIC FORM FACTORS
EXPANSION
FLAVOR MODEL
ISOVECTORS
LATTICE FIELD THEORY
MAGNETIC FORMING
MAGNETIC MOMENTS
MASS
MEV RANGE 100-1000
NUCLEONS
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
BARYONS
BOSONS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
ENERGY RANGE
FABRICATION
FERMIONS
FIELD THEORIES
FORM FACTORS
HADRONS
MATERIALS WORKING
MATHEMATICAL MODELS
MESONS
MEV RANGE
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
SIMULATION
TENSORS
VECTORS