{ital g}{pi}{ital NN} and pseudoscalar form factors from lattice QCD

Journal Article · Mon Mar 20 04:00:00 EST 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.74.2172· OSTI ID:26087

Liu, K; Dong, S; Draper, T ^[1]; Wilcox, W ^[2]

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1. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
2. Department of Physics, Baylor University, Waco, Texas 76798 (United States)

The {pi}{ital NN} form factor {ital g}{sub {pi}{ital NN}}({ital q}{sup 2}) is obtained from a quenched lattice QCD calculation of the pseudoscalar form factor {ital g}{sub {ital P}}({ital q}{sup 2}) of the proton with pion pole dominance. We find that {ital g}{sub {pi}{ital NN}}({ital q}{sup 2}) is well fitted with a monopole form which agrees with the Goldberger-Treiman relation. The monopole mass is determined to be 0.75{plus_minus}0.14 GeV, which shows that {ital g}{sub {pi}{ital NN}}({ital q}{sup 2}) is rather soft. The extrapolated {pi}{ital N} coupling constant {ital g}{sub {pi}{ital NN}}=12.7{plus_minus}2.4 is quite consistent with the phenomenological values. We also compare {ital g}{sub {pi}{ital NN}}({ital q}{sup 2}) with the axial form factor {ital g}{sub {ital A}}({ital q}{sup 2}) to check pion dominance in the induced pseudoscalar form factor {ital h}{sub {ital A}}({ital q}{sup 2}) vis-a-vis the chiral Ward identity.

• DOE Contract Number: FG05-84ER40154
• OSTI ID: 26087
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COUPLING CONSTANTS
FORM FACTORS
GOLDBERGER-TREIMAN RELATION
LATTICE FIELD THEORY
MONOPOLES
NUCLEONS
PIONS
PSEUDOSCALARS
QUANTUM CHROMODYNAMICS
WARD IDENTITY