English

New Quadratic Mass Relations for Heavy Mesons

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

By assuming the existence of (quasi)-linear Regge trajectories for heavy mesons, we derive new quadratic mass relations of non-Gell-Mann-Okubo type, 6M^2(q-qbar)+3M^2(c-cbar)=8M^2(c-qbar), 20M^2(q-qbar)+5M^2(b-bbar)= 16M^2(b-qbar), q=n(=u,d),s, which show excellent agreement with experiment. We also establish the sum rule M^2(i-ibar)+M^2(j-jbar)-2M^2(j-ibar)\approx const for any pair of flavors, (i,j).

Keywords

Cite

@article{arxiv.hep-ph/9708468,
  title  = {New Quadratic Mass Relations for Heavy Mesons},
  author = {L. Burakovsky and L. P. Horwitz and T. Goldman},
  journal= {arXiv preprint arXiv:hep-ph/9708468},
  year   = {2007}
}

Comments

17 pages, LaTeX

R2 v1 2026-07-22T14:39:08.644Z