$\ensuremath{\Delta}(1232)$ Axial Charge and Form Factors from Lattice QCD

$Δ (1232)$ Axial Charge and Form Factors from Lattice QCD

Constantia Alexandrou, Eric B. Gregory, Tomasz Korzec, Giannis Koutsou, John W. Negele, Toru Sato, and Antonios Tsapalis

Phys. Rev. Lett. 107, 141601 – Published 30 September 2011

Abstract

We present the first calculation on the $Δ$ axial vector and pseudoscalar form factors using lattice QCD. Two Goldberger-Treiman relations are derived and examined. A combined chiral fit is performed to the nucleon axial charge, $N$ to $Δ$ axial transition coupling constant and $Δ$ axial charge.

Received 30 June 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.141601

Authors & Affiliations

Constantia Alexandrou^1,2, Eric B. Gregory¹, Tomasz Korzec³, Giannis Koutsou², John W. Negele⁴, Toru Sato⁵, and Antonios Tsapalis^6,7

¹Department of Physics, University of Cyprus, P.O. Box 20357, 1678 Nicosia, Cyprus
²Computation-based Science and Technology Research Center, The Cyprus Institute, P.O. Box 27456, 1645 Nicosia, Cyprus
³Institut für Physik, Humboldt Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany
⁴Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
⁵Department of Physics, Osaka University, Osaka 560-0043, Japan
⁶Hellenic Naval Academy, Hatzikyriakou Avenue, Pireaus 18539, Greece
⁷Department of Physics, National Technical University of Athens, Zografou Campus 15780, Athens, Greece