Baryon decuplet mass relations in chiral perturbation theory
Richard Lebed
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.
Nuclear Physics, Section B
Published - Nov 21 1994
Lebed, R. (1994). Baryon decuplet mass relations in chiral perturbation theory. Nuclear Physics, Section B, 430(2), 295-318. https://doi.org/10.1016/0550-3213(94)00375-0
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.
Lebed, R 1994, 'Baryon decuplet mass relations in chiral perturbation theory', Nuclear Physics, Section B, vol. 430, no. 2, pp. 295-318. https://doi.org/10.1016/0550-3213(94)00375-0
Lebed R. Baryon decuplet mass relations in chiral perturbation theory. Nuclear Physics, Section B. 1994 Nov 21;430(2):295-318. https://doi.org/10.1016/0550-3213(94)00375-0
Lebed, Richard. / Baryon decuplet mass relations in chiral perturbation theory. In: Nuclear Physics, Section B. 1994 ; Vol. 430, No. 2. pp. 295-318.
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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 = "Richard Lebed",
journal = "Nuclear Physics B",
T1 - Baryon decuplet mass relations in chiral perturbation theory
AU - Lebed, Richard
N2 - 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.
AB - 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.
JO - Nuclear Physics B
JF - Nuclear Physics B