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Hypercentral constituent quark model and the hyperfine dependence potential

Keywords: Dirac equation , hypercentral , Jacobian coordinate , hyperfine-isospin

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Abstract:

In this article nucleons are discussed based on constituent quark model. This model aims at studying the forces among three particles and the corresponding standard two-body potential contribution. The quark potential contains a hypercentral interaction. The confining potential is composed of four components,color charge, the oscillatory potential, the interaction quark and neutral gluon, and the dipole – dipole electromagnetic interaction. Dirac equation can be solved carefully and analytically by means of these potentials. In addition to the above potentials, there is a hyperfine potential which is related to isospin – isospin and spin –isopin interactions. These potentials were considered as perturbation potentials and their energy shift was calculated.

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