Baryon mass splittings in chiral perturbation theory

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Bulletin of the American Physical Society

OSTI ID:374705

Milana, J; Banerjee, M

Baryon masses are calculated in chiral perturbation theory at the one-loop, O(p{sup 2}), level in the chiral expansion and to leading order in the heavy baryon expansion. Although ultraviolet divergences occur requiring the introduction of counter-terms, no knowledge of the counter terms is required to determine the violations to the Gell-Mann Okubo mass relation for the baryon octet or to the decuplet equal mass-spacing rule, as all divergences cancel exactly at this order. This feature does not continue to higher-powers in the chiral expansion. Also discussed is the absolute necessity of simultaneously going beyond the leading order heavy baryon expansion, if one goes beyond the one-loop-O(p{sup 2}) level: new divergences {proportional_to} m{sup 4}/M{sub B} are identified as well as additional interactions related to off-shell effects of the decuplet fields.

• OSTI ID: 374705
• Report Number(s): CONF-9304297--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BARYONS
CHIRALITY
MASS
OKUBO MASS FORMULA
PERTURBATION THEORY