Nucleon structure with two flavors of dynamical domain-wall fermions

Journal Article · Tue Jul 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.014505· OSTI ID:21250244

Lin, H -W ^[1]; Blum, Tom; Yamazaki, Takeshi ^[2]; Ohta, Shigemi ^[2]; Sasaki, Shoichi ^[3]

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1. Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
2. RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
3. Department of Physics, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113 (Japan)

We present a numerical lattice quantum chromodynamics calculation of isovector form factors and the first few moments of the isovector structure functions of the nucleon. The calculation employs two degenerate dynamical flavors of domain-wall fermions, resulting in good control of chiral symmetry breaking. Nonperturbative renormalization of the relevant quark currents is performed where necessary. The DBW2 gauge action is used to further improve the chiral behavior while maintaining a reasonable physical lattice volume. The inverse lattice spacing, a{sup -1}, is approximately 1.7 GeV. Degenerate up and down dynamical quark masses of approximately 1, 3/4 and 1/2 times the strange quark mass are used. The physical volume of the lattice is about (1.9 fm){sup 3}. The ratio of the isovector vector to axial charges, g{sub A}/g{sub V}, tends to a lower value than the experimental value as the quark mass is reduced toward the physical point. Momentum-transfer dependences of the isovector vector, axial, induced-tensor and induced-pseudoscalar form factors are calculated. The Goldberger-Treiman relation holds at low momentum transfer and yields an estimation of the pion-nucleon coupling, g{sub {pi}}{sub NN}=15.5(1.4), where the quoted error is only statistical. We find that the flavor nonsinglet quark momentum fraction <x>{sub u-d} and quark helicity fraction <x>{sub {delta}}{sub u-{delta}}{sub d} overshoot their experimental values after linear chiral extrapolation. We discuss possible systematic errors for this discrepancy. An estimate for transversity, <1>{sub {delta}}{sub u-{delta}}{sub d}=0.93(6) in MS at 2 GeV, is obtained and a twist-3 polarized moment, d{sub 1}, appears small, suggesting that the Wandzura-Wilczek relation holds approximately. We discuss in detail the systematic errors in the calculation, with particular attention paid to finite volume, excited-state contamination, and chiral extrapolations.

• OSTI ID: 21250244
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 1; Other Information: DOI: 10.1103/PhysRevD.78.014505; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
COMPUTERIZED SIMULATION
EXCITED STATES
EXTRAPOLATION
FLAVOR MODEL
FORM FACTORS
GEV RANGE 01-10
GOLDBERGER-TREIMAN RELATION
HELICITY
ISOVECTORS
LATTICE FIELD THEORY
MASS
MOMENTUM TRANSFER
NUCLEONS
PION-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
RENORMALIZATION
S QUARKS
STRUCTURE FUNCTIONS
SYMMETRY BREAKING