The general QCD parametrization and the hierarchy of its parameters: Why some simple models of hadrons work so well

Summary

After recalling the main points of the general QCD parametrization —GP— we discuss systematically its application to the properties of the lowest baryon and meson families. We show how the hierarchy of parameters in the GP emerges clearly from the experimental data. This fact explains (among other things) why some simple models of hadrons work reasonably well; it also clarifies the relationship between current and constituent quarks. The specific hadron properties to be discussed with the GP appear from the list of sections below. In particular, sects. 1, 2 and 3 show: 1) how the general QCD parametrization is derived exactly from QCD, 2) what are the “parameters” and 3) how their order of magnitude decreases with increasing complexity of the terms being considered (the “hierarchy”).

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Dillon, G., Morpurgo, G. The general QCD parametrization and the hierarchy of its parameters: Why some simple models of hadrons work so well. Riv. Nuovo Cim. 33, 1–55 (2010). https://doi.org/10.1393/ncr/i2010-10051-4

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Keywords

  • General properties of QCD (dynamics, confinement, etc.
  • Electromagnetic processes and properties
  • Baryons (including antiparticles)
  • Mesons