The Off-diagonal Goldberger-Treiman Relation and Its Discrepancy
High Energy Physics - Phenomenology
2009-11-07 v2 High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
Abstract
We study the off-diagonal Goldberger-Treiman relation (ODGTR) and its discrepancy (ODGTD) in the N, Delta, pi sector through O(p^2) using heavy baryon chiral perturbation theory. To this order, the ODGTD and axial vector N to Delta transition radius are determined solely by low energy constants. Loop corrections appear at O(p^4). 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 Delta.
Cite
@article{arxiv.hep-ph/0207304,
title = {The Off-diagonal Goldberger-Treiman Relation and Its Discrepancy},
author = {Shi-Lin Zhu and M. J. Ramsey-Musolf},
journal= {arXiv preprint arXiv:hep-ph/0207304},
year = {2009}
}
Comments
11 pages, 1 eps figure