Glueball filled with the quark field as a model of nucleon

Abstract

On the basis of the non-perturbative Heisenberg's quantization scheme and using some simplifications and assumptions the reduction from the gluon-quark Lagrangian to a scalar-fermion Lagrangian is made. The corresponding field equations have a regular spherically symmetric solution which can be interpret as a simplified model of nucleon. Some properties of such "nucleon" are discused: the presence of a mass gap and spin $\ne \hslash /2$. The mass gap describes the difference between the "nucleon" and the "nucleon" without quark field (a scalar glueball). The presence of spin $\ne \hslash /2$ can be connected with the spin problem of nucleon.

typos corrected

Cited by in corpus (1)

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