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

High Energy Physics - Phenomenology 2016-11-23 v2

Abstract

The quantum group SUq(3)=Uq(su(3))SU_q(3)=U_q(su(3)) is taken as a baryon flavor symmetry. Accounting for electromagnetic contributions to baryons masses to zeroth order, new charge specific qq-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\frac{\pi}{14}, in terms of the deformation parameter qq and spin parity JPJ^P of the baryons is obtained.

Keywords

Cite

@article{arxiv.1607.01632,
  title  = {Charge specific baryon mass relations with deformed SU_q(3) flavor symmetry},
  author = {Niels G. Gresnigt},
  journal= {arXiv preprint arXiv:1607.01632},
  year   = {2016}
}

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14 pages