Abstract
Prompted by the recent surprising results in QCD spectroscopy, we extend the treatment of the constituent quark model showing that mass differences and ratios have the same values when obtained from mesons and baryons. We obtain several new successful relations involving hadrons containing two and three strange quarks and hadrons containing heavy quarks and give a new prediction regarding spin splitting between doubly charmed baryons. We provide numerical evidence for an effective supersymmetry between mesons and baryons related by replacing a light antiquark by a light diquark. We also obtain new relations between quark magnetic moments and hadron masses. Limits of validity of this approach and disagreements with experiment in properties of the Σ and Ξ baryons are discussed as possible clues to a derivation from QCD.
Highlights
Evidence that mesons and baryons are made of the same building blocks appeared in the remarkable successes of the constituent quark model
The QCD interaction between a color triplet heavy quark and a color antitriplet light quark system appears not to be sensitive to the structure of the light quark system; i.e. whether the color antitriplet is an antiquark or a color antitriplet ud pair. This suggests some kind of effective supersymmetry between hadrons related by replacing a light fermion by a light boson
We have demonstrated a new large class of simple phenomenological hadronic mass and magnetic moment relations
Summary
Nature tells us in experimental data that mesons and baryons are made of the same building blocks, sometimes called “constituent quarks”. Some of the new states seen have not been predicted at all; others are exceedingly narrow with properties very different from most theoretical expectations This has prompted us to re-examine several aspects of the constituent quark model, to extend the experimental basis for simple meson-baryon relations and to search for clues to the eventual description by defining the domain where the simple model succeeds and where it fails. The QCD interaction between a color triplet heavy quark and a color antitriplet light quark system appears not to be sensitive to the structure of the light quark system; i.e. whether the color antitriplet is an antiquark or a color antitriplet ud pair This suggests some kind of effective supersymmetry between hadrons related by replacing a light fermion by a light boson. We search for further illumination on this question by pursuing the successes and failures of the simple constituent quark model in unambiguous predictions of experimental data which can be clearly shown to be either right or wrong without adjusting free parameters
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