@article{1bda99daead349e296b64208198120e3,
title = "Baryon decuplet mass relations in chiral perturbation theory",
abstract = "Baryon decuplet masses within an SU(3)L × 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 importance of group theory in establishing the relations and eliminating many loop corrections is emphasized. 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.",
author = "Lebed, {Richard F.}",
note = "Funding Information: I would like to thank Markus Luty for his suggestions and comments on the manuscript, Charles Wohl and Richard Arndt for their expert information on the A resonance masses, and Mahiko Suzuki for valuable discussions on group-theoretical aspects of this work. This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-90-21139. Funding Information: In this paper we extract information about the baryon decuplet mass spectrum from an effective Lagrangian with SU(3)L × SU(3)R chiral symmetry. Little experimental refinement of the decuplet masses has been performed in the past fifteen years, and decuplet mass differences, particularly isospin splittings, have large relative errors. The mass of one decuplet baryon, the d-, has not even been measured directly, because it cannot be produced as a low-energy proton-pion resonance. Therefore, relations among the decuplet baryons as derived from chiral symmetry and its known breakings (through * This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-90-21139. I E-mail: lebed@theorm.lbl.gov.",
year = "1994",
month = nov,
day = "21",
doi = "10.1016/0550-3213(94)00375-0",
language = "English (US)",
volume = "430",
pages = "295--318",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "2",
}