Baryon decuplet mass relations in chiral perturbation theory

Abstract

Baryon decuplet masses within an $SU(3{)}_L\times SU(3{)}_R$ chiral Lagrangian formalism are found to satisfy four relations at second order in flavor breaking. As a result, the one-loop corrections from Lagrangian terms up to first order in flavor breaking are observed to give finite and calculable corrections to these relations. The formal expressions for these corrections are presented, followed by numerical evaluations. We find consistency between the experimental values of breaking of the relations and the loop corrections of these relations as predicted by chiral perturbation theory.

33 pages in LaTeX, 2 figures included in one Postscript uuencoded compressed tar file, LBL-34704 and UCB-PTH-93/27

References in corpus (3)

• Strong and Electromagnetic Decays of the Baryon Decuplet
• Baryon Masses at Second Order in Chiral Perturbation Theory
• Isospin Splitting in the Baryon Octet and Decuplet

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