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Published October 1, 2002 | Published
Journal Article Open

Off-diagonal Goldberger-Treiman relation and its discrepancy


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.

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.

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