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Quark Confinement Mechanism for Baryons (pp. 13-62) $100.00
Authors:  (Yu. P. Goncharov, Theoretical Group, Experimental Physics Department, State Polytechnical University, Sankt-Petersburg, Russia)
Abstract:
The confinement mechanism proposed earlier and then successfully applied
to meson spectroscopy by the author is extended over baryons. For
this aim the wave functions of baryons are built as tensorial products of
those corresponding to the 2-body problem underlying the confinement
mechanism of two quarks. This allows one to obtain the Hamiltonian of
the quark interactions in a baryon and, accordingly, the possible energy
spectrum of the latter. Also one may construct the electric and magnetic
form factors of baryon in a natural way which entails the expressions
for the root-mean-square radius and anomalous magnetic moment. To
ullustrate the formalism in the given Chapter for the sake of simplicity
only symmetrical baryons (i.e., composed from three quarks of the same
flavours) ++, −,
− are considered. For them the masses, the rootmean-
square radii and anomalous magnetic moments are expressed in an
explicit analytical form through the parameters of the confining SU(3)-
gluonic field among quarks and that enables one to get a number of numerical
estimates for the mentioned parameters from experimental data.
We also discuss chiral limit for the baryons under consideration and estimate
the purely gluonic contribution to their masses. Further the problem
of masses in particle physics is shortly discussed within the framework of
the given approach. Finally, a few remarks are made about the so-called
Yang-MillsMillennium problem and a possible way for proving it is outlined. 


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Quark Confinement Mechanism for Baryons (pp. 13-62)