Chromo-Electric Field Energy in Quark Models

Abstract

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We study the contribution of the chromo-electric field to the total energy of the hadrons. We analyze the case of quarks considered as extended sources of the field. Specific forms of the interaction potential of the quarks are obtained. Moreover, the color charge distribution of these sources allows to determine the zero-point energy that is commonly introduced, as a free (independent) parameter, in the total quark model Hamiltonian of the hadronic systems. The ground states of charmonium (qq̄) and nucleon (qqq) are studied in more detail: their mass is calculated within a relativized dynamical model and the expectation value of the chromo-electric field energy is consistently obtained.

Keywords

• quark models
• chromo-electric field
• quark interactions
• charmonium
• nucleon
• 12.39.-x