Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD
Name
Alexandrou-2013-axial and pseudoscalar form factors from lattice QCD.pdf
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Author(s)
Alexandrou, Constantia
Gregory, Eric B.
Korzec, Tomasz
Koutsou, Giannis
Negele, John W.
Sato, Toru
Tsapalis, Antonios
Date Issued
June 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Alexandrou, Constantia, Eric B. Gregory, Tomasz Korzec, Giannis Koutsou, John W. Negele, Toru Sato, and Antonios Tsapalis. “Determination of the Δ(1232) axial and pseudoscalar form factors from lattice QCD.” Physical Review D 87, no. 11 (June 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We present a lattice QCD calculation of the Δ(1232) matrix elements of the axial-vector and pseudoscalar currents. The decomposition of these matrix elements into the appropriate Lorentz invariant form factors is carried out, and the techniques to calculate the form factors are developed and tested using quenched configurations. Results are obtained for 2+1 domain wall fermions and within a hybrid scheme with domain wall valence and staggered sea quarks. Two Goldberger-Treiman–type relations connecting the axial to the pseudoscalar effective couplings are derived. These and further relations based on the pion-pole dominance hypothesis are examined using the lattice QCD results, finding support for their validity. Using lattice QCD results on the axial charges of the nucleon and the Δ, as well as the nucleon-to-Δ transition coupling constant, we perform a combined chiral fit to all three quantities and study their pion mass dependence as the chiral limit is approached.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.87.114513
