Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quark confinement mechanism for baryons   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) $\Delta^{++}$, $\Delta^{-}$, $\Omega^-$ are considered. For them
the masses, the root-mean-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-Mills
Millennium problem and a possible way for proving it is outlined.

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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex