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Off-diagonal Goldberger-Treiman relation and its discrepancy

Zhu, Shi-Lin and Ramsey-Musolf, M. J. (2002) Off-diagonal Goldberger-Treiman relation and its discrepancy. Physical Review D, 66 (7). Art. No. 076008. ISSN 2470-0010. doi:10.1103/PhysRevD.66.076008. https://resolver.caltech.edu/CaltechAUTHORS:ZHUprd02a

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Abstract

We study the off-diagonal Goldberger-Treiman relation (ODGTR) and its discrepancy (ODGTD) in the N, Δ, π sector through O(p2) using heavy baryon chiral perturbation theory. To this order, the ODGTD and axial vector N to Δ transition radius are determined solely by low-energy constants. Loop corrections appear at O(p4). For low-energy constants of natural size, the ODGTD would represent a ∼2% correction to the ODGTR. We discuss the implications of the ODGTR and ODGTD for lattice and quark model calculations of the transition form factors and for parity-violating electroexcitation of the Δ.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.66.076008DOIUNSPECIFIED
ORCID:
AuthorORCID
Ramsey-Musolf, M. J.0000-0001-8110-2479
Additional Information:© 2002 The American Physical Society Received 24 July 2002; published 25 October 2002 This work was supported in part under U.S. Department of Energy contract No. DE-FGO2-00ER41146 and the National Science Foundation under Grant No. PHY00-71856. We thank J. L. Goity, B. R. Holstein, J. Martin, and S. P. Wells for useful discussions.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FGO2-00ER41146
NSFPHY00-71856
Issue or Number:7
DOI:10.1103/PhysRevD.66.076008
Record Number:CaltechAUTHORS:ZHUprd02a
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ZHUprd02a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2820
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Apr 2006
Last Modified:08 Nov 2021 19:51

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