Colour dielectric model of the proton

Jena, P. K. ; Pradhan, T. (1984) Colour dielectric model of the proton Pramana - Journal of Physics, 22 (2). pp. 97-106. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/j_archive/pramana/22/2/97-106...

Related URL: http://dx.doi.org/10.1007/BF02848630

Abstract

A model of the proton with its constituent quarks bound in a colour polarizable medium with dielectric constant varying as (a/r-b2) from a fixed centre, is presented. The Dirac equation modified by the colour polarization is solved and the analytic expression for the wavefunction of the quarks obtained shows that quarks with higher energy lie closer to the fixed centre. The energy spectrum is equispaced without any continuum. A semiclassical approximation scheme yields closed orbits for quarks which have smaller size for higher energies and no orbits with size bigger than a certain maximum, thereby rendering the quarks permanently confined. The wavefunctions of the three quarks constituting the proton are used to calculate physical parameters of the proton such as its mass, charge radius and weak coupling constant which with suitable choice of the constantsa andb appearing in the dielectric constant agree fairly well with experimental results.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Colour Dielectric; Confined Quarks; Proton; Elliptic Orbits; Equispaced Energy Spectrum
ID Code:33355
Deposited On:30 Mar 2011 10:13
Last Modified:17 May 2016 16:13

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