Charge specific baryon mass relations with deformed SUq(3) flavor symmetry

Niels G. Gresnigt*

*Corresponding author for this work

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1 Citation (Scopus)


The quantum group SUq(3) = Uq(su(3)) is taken as a baryon flavor symmetry. Accounting for electromagnetic contributions to baryons masses up to zeroth order, new charge specific q-deformed octet and decuplet baryon mass formulas are obtained. These new mass relations have errors of only 0.02% and 0.08%, respectively, a factor of 20 reduction compared to the standard Gell-Mann-Okubo mass formulas. A new relation between the octet and decuplet baryon masses that is accurate to 1.2% is derived. An explicit formula for the Cabibbo angle, taken to be π14, in terms of the deformation parameter q and spin parity JP of the baryons is obtained.

Original languageEnglish
Article number321
JournalEuropean Physical Journal A
Issue number10
Publication statusPublished - 1 Oct 2016

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