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Deriving inter-quark color-potential formula ?? Rate Topic: -----

#1 Widdekind 


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According to David Griffiths' Introduction to Elementary Particles, the ("chromo-electrostatic") color-potential, between two quarks, is often modeled using Hooke's Law (F = - k x). And, according to Michael Creutz's Quarks, Gluons and Lattices (pg. 3):

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In attempting to extract a single quark, from a proton, one would draw out a long, skinny bag, carrying the gluo-electric flux, of the quark, back to the remaining constituents.

If the Flux Lines are conserved, would the "bag of gluo-electric flux", which squeezes down when stretched, but pancakes out when compressed, generate a Hooke's Law force ?? (This simple picture does not account for the powerful "chromo-magnetism" force, which Griffiths also discusses, separately.)

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This post has been edited by Widdekind: 1 September 2010 - 06:36 AM

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#2 Widdekind 


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David Griffiths' Intro. to Elem. Particles (pp. 180,192) shows that the Color Force is modulated by a spin-spin splitting, proportional to roughly 150 MeV / \hbar in mesons, and 50 MeV / \hbar in baryons. It is not clear to me, whether this is an electro-magnetic, or chromo-magnetic interaction. The ratio appears to be about 3:1, and their is only 1 pair in a meson, and 3 pairs in baryons (???).
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