Eur. Phys. J. A (2016) 52: 321
https://doi.org/10.1140/epja/i2016-16321-9

Regular Article - Theoretical Physics

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

Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, 111 Ren’ai Road, 215123, Jiangsu, China

^* e-mail: niels.gresnigt@xjtlu.edu.cn

Received: 7 July 2016
Accepted: 8 October 2016
Published online: 25 October 2016

Abstract

The quantum group 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 , in terms of the deformation parameter q and spin parity J^P of the baryons is obtained.