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High Energy Physics - Phenomenology

arXiv:hep-ph/9807559 (hep-ph)
[Submitted on 30 Jul 1998 (v1), last revised 20 Dec 2001 (this version, v3)]

Title:Quantum Groups as Flavor Symmetries: Account of Nonpolynomial SU(3)-Breaking Effects in Baryon Masses

Authors:A. M. Gavrilik, N. Z. Iorgov (BITP, Kiev)
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Abstract: The use, for flavor symmetries, of the quantum (or q-) analogs of unitary groups SU(n_f) yields new, very accurate, baryon mass sum rules. We show, in the 3-flavor case, that such approach accounts for nonpolynomial SU(3)-breaking effects in the octet and decuplet baryon masses. A version of this approach with manifestly q-covariant mass operator is given. The obtained new version of the q-deformed mass relation is simpler than those derived before, but, for its empirical validity, the parameter q is to be fixed by fitting. As shown, the well-known Gell-Mann--Okubo octet mass sum rule results, besides usual SU(3), also from an exotic "symmetry" encoded in the singular case q=-1 of the q-algebra U_q(su_3).
Comments: 14 pages, LaTeX. v2: minor revisions in the text, title changed; v3: reference added
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
Cite as: arXiv:hep-ph/9807559
  (or arXiv:hep-ph/9807559v3 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/9807559
Journal reference: Ukr.J.Phys.43:1526-1533,1998

Submission history

From: [view email]
[v1] Thu, 30 Jul 1998 17:57:42 UTC (13 KB)
[v2] Mon, 21 Dec 1998 20:03:15 UTC (12 KB)
[v3] Thu, 20 Dec 2001 20:59:22 UTC (12 KB)
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