Glueball filled with the quark field as a model of nucleon

Details Glueball filled with the quark field as a model of nucleon Glueball filled with the quark field as a model of nucleon

2004-08-22

arxiv.org/abs/hep-ph/0408236v2

Hadronic J. 28 (2005) 387-407

Physics

High Energy Physics

High Energy Physics - Phenomenology

typos corrected

Scientific paper

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 $\neq \hbar /2$. The mass gap describes the difference between the "nucleon" and the "nucleon" without quark field (a scalar glueball). The presence of spin $\neq \hbar /2$ can be connected with the spin problem of nucleon.

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