No Radial Excitations in Low Energy QCD. I. Diquarks and Classification of Mesons

Physics – High Energy Physics – High Energy Physics - Phenomenology

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38 pages

Scientific paper

We propose a new schematic model for mesons in which the building blocks are quarks and flavor-antisymmetric diquarks. The outcome is a new classification of the entire meson spectrum into quark-antiquark and diquark-antidiquark states which reveals that there are no radially excited hadrons: all mesons which have so far been believed to be radially excited are orbitally excited diquark-antidiquark states; similarly, there are no radially excited baryons. The classification also leads to the introduction of isorons (iso-hadrons), which are analogs of atomic isotopes, and their magic quantum numbers, which are analogs of the magic numbers of the nuclear shell model. The magic quantum numbers of isorons match the quantum numbers expected for low-lying glueballs in lattice QCD. We observe that interquark forces in mesons behave substantially differently from those in baryons: qualitatively, they are color-magnetic in mesons but color-electrostatic in baryons. We comment on potential models and the hydrogen atom. The implications of our results for confinement and asymptotic freedom are discussed in our companion paper [arXiv:0910.2231].

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