Regular Article - Theoretical Physics
Charge specific baryon mass relations with deformed SUq(3) flavor symmetry
Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, 111 Ren’ai Road, 215123, Jiangsu, China
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Accepted: 8 October 2016
Published online: 25 October 2016
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 JP of the baryons is obtained.
© SIF, Springer-Verlag Berlin Heidelberg, 2016