Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors

Bali, G. S. and Collins, S. and Gruber, M. and Schaefer, A. and Wein, R. and Wurm, T. (2019) Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors. PHYSICS LETTERS B, 789. pp. 666-674. ISSN 0370-2693, 1873-2445

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Abstract

It has been observed in multiple lattice determinations of isovector axial and pseudoscalar nucleon form factors, that, despite the fact that the partial conservation of the axialvector current is fulfilled on the level of correlation functions, the corresponding relation for form factors (sometimes called the generalized Goldberger-Treiman relation in the literature) is broken rather badly. In this work we trace this difference back to excited state contributions and propose a new projection method that resolves this problem. We demonstrate the efficacy of this method by computing the axial and pseudoscalar form factors as well as related quantities on ensembles with two flavors of improved Wilson fermions using pion masses down to 150 MeV. To this end, we perform the z-expansion with analytically enforced asymptotic behaviour and extrapolate to the physical point. (C) 2019 The Author(s). Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: LATTICE QCD; CONTINUUM-LIMIT; MUON-CAPTURE; Lattice QCD; Nucleon structure; Form factors; Partial conservation of the axialvector current
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Apr 2020 11:27
Last Modified: 17 Apr 2020 11:27
URI: https://pred.uni-regensburg.de/id/eprint/27556

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