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No radial excitations in low energy QCD. II. The shrinking radius of hadrons

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Abstract

We discuss the implications of our prior results obtained in our companion paper (Eur. Phys. J. C (2013). doi:10.1140/epjc/s10052-013-2298-9). 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 the 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.

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Notes

  1. Recall that L<n.

  2. The author is grateful to Guy de Teramond for discussions of this point.

  3. Phrase graciously provided by Frank Wilczek.

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Acknowledgements

I am grateful to Frank Wilczek, who gave me a glimpse into his work on baryon systematics, and in response to my question “what about mesons?” encouraged me to pursue them. This work is the result. I am also grateful to Robert L. Jaffe, Howard Georgi, Richard Brower, Usha Mallik, Hulya Guler, Dan Pirjol, Ayana Holloway, and Guy de Teramond for helpful discussions. This work was supported in part by funds provided by the U.S. Department of Energy (DOE) under cooperative research agreement DE-FC02-94ER40818 and in part by US DOE Grant number DE-FG02-91ER40685.

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  1. Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Tamar Friedmann

  2. University of Rochester, Rochester, NY, 14623, USA

    Tamar Friedmann

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Friedmann, T. No radial excitations in low energy QCD. II. The shrinking radius of hadrons. Eur. Phys. J. C 73, 2299 (2013). https://doi.org/10.1140/epjc/s10052-013-2299-8

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