The Goldberger-Treiman discrepancy in SU(3)

Citation
Jl. Goity et al., The Goldberger-Treiman discrepancy in SU(3), PHYS LETT B, 454(1-2), 1999, pp. 115-122
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
454
Issue
1-2
Year of publication
1999
Pages
115 - 122
Database
ISI
SICI code
0370-2693(19990513)454:1-2<115:TGDIS>2.0.ZU;2-J
Abstract
The Goldberger-Treiman discrepancy in SU(3) is analyzed in the framework of heavy baryon chiral perturbation theory (HBChPT). It is shown that the dis crepancy at leading order is entirely given by counterterms from the O(p(3) ) Lagrangian, and that the first subleading corrections are suppressed by t wo powers in the HBChPT expansion. These subleading corrections include mes on-loop contributions as well as counterterms from the O(p(5)) Lagrangian. Some one-loop contributions are calculated and found to be small. Using the three discrepancies (pi NN, KN Lambda and KN Sigma) which can be extracted from existing experimental data, we find that the HBChPT calculation favor s the smaller g(pi NN) values obtained in recent partial wave analyses. (C) 1999 Elsevier Science B.V. All rights reserved.