Baryon decuplet mass relations in chiral perturbation theory

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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.

Original languageEnglish (US)
Pages (from-to)295-318
Number of pages24
JournalNuclear Physics, Section B
Volume430
Issue number2
DOIs
StatePublished - Nov 21 1994
Externally publishedYes

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baryons
perturbation theory
group theory
formalism
evaluation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Baryon decuplet mass relations in chiral perturbation theory. / Lebed, Richard.

In: Nuclear Physics, Section B, Vol. 430, No. 2, 21.11.1994, p. 295-318.

Research output: Contribution to journalArticle

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