No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons

Details No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons

2009-10-12

arxiv.org/abs/0910.2231v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, minor revision, note added, references added

Scientific paper

We discuss the implications of the results we obtained in our companion paper [arXiv:0910.2229]. Inescapably, they lead to three laws governing the size of hadrons, including in particular protons and neutrons that make up the bulk of ordinary matter: a) there are no radial excitations in low-energy QCD; b) the size of a hadron is largest in its ground state; c) the hadron's size shrinks when its orbital excitation increases. The second and third laws follow from first law. It follows that the path from confinement to asymptotic freedom is a Regge trajectory. It also follows that the top quark is a free, albeit short-lived, quark. Note added: Nine months after this paper was originally posted, an experiment studying muonic hydrogen [http://dx.doi.org/10.1038/nature09250] found a smaller size of the proton than previously expected. It is possible that this is a manifestation of our three laws, and may be a QCD, rather than QED, effect.

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