Baryon mass splittings in chiral perturbation theory
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
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