arXiv subjects

Yu. P. Goncharov

Publications and source records attributed to Yu. P. Goncharov.

At least 19 recordsLinked to original sources

arXiv2013

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) $Δ^{++}$, $Δ^{-}$, $Ω^-$ 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.

hep-ph↗

arXiv2013

Estimates for Parameters and Characteristics of the Confining SU(3)-gluonic Field in $ϕ$-meson from Leptonic Widths

The paper is devoted to applying the confinement mechanism proposed earlier by one of the authors to estimate the possible parameters of the confining SU(3)-gluonic field in vector $ϕ$-meson. The estimates obtained are consistent with the leptonic widths of the given meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the meson under consideration.

hep-ph↗

arXiv2012

Quark confinement mechanism and the scale $Λ_{QCD}$

The confinement mechanism proposed earlier by the author is applied to problem of arising the so-called scale $Λ_{QCD}$ within the framework of QCD. The natural physical assumption consists of that $1/Λ_{QCD}\,\sim\, $ where $ $ is a characteristic size of hadron (radius of confinement). The above confinement mechanism allows us to calculate $ $ for mesons in terms of quark and gluonic degrees of freedom and this permits to conclude that $Λ_{QCD}$ should slightly change from hadron to hadron.

hep-ph↗

arXiv2010

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet

First part of the paper is devoted to applying the confinement mechanism proposed earlier by the author to estimate the possible parameters of the confining SU(3)-gluonic field in neutral kaons. The estimates obtained are consistent with the widths of the electromagnetic decays $K^0,\bar{K}^0\to2γ$ too. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the mesons under consideration. The second part of the paper takes into account the results obtained previously by the author to estimate the purely gluonic contribution to the masses of all the mesons of pseudoscalar nonet and also to consider a possible relation with a phenomenological string-like picture of confinement. Finally, the problem of masses in particle physics is shortly discussed within the framework of approach to the chiral symmetry breaking in quantum chromodynamics (QCD) proposed recently by the author.

hep-ph↗

arXiv2010

Classical model of confinement

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the corresponding unique solution of the SU(3)-Yang-Mills equations describing linear confinement in quantum chromodynamics, is used. Motion of a charged particle is studied in the field representing magnetic part of the mentioned solution and it is shown that one deals with the full classical confinement of the charged particle in such a field: under any initial conditions the particle motion is accomplished within a finite region of space so that the particle trajectory is near magnetic field lines while the latter are compact manifolds (circles). An asymptotical expansion for the trajectory form in the strong field limit is adduced. The possible application of the obtained results in thermonuclear plasma physics is also shortly outlined.

hep-th↗

arXiv2008

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in charged pions and kaons from leptonic decays and chiral symmetry breaking

The confinement mechanism proposed earlier by the author is employed for to compute the decay constants $f_P$ corresponding to leptonic decays $P\to l^\pm+ν_l$, $l=μ, e$, where $P$ stands for any meson from $π^\pm$, $K^\pm$. For this aim the weak axial form factor of $P$-meson is nonperturbatively calculated. The study entails estimates for parameters of the confining SU(3)-gluonic field in charged pions and kaons. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the mesons under consideration. Further the obtained results are applied to the problem of chiral symmetry breaking in quantum chromodynamics (QCD). It is shown that in chirally symmetric world masses of pions and kaons are fully determined by the confining SU(3)-gluonic field among (massless) $u$, $d$ and $s$ quarks and not equal to zero. Accordingly chiral symmetry is sufficiently rough approximate one holding true only when neglecting the mentioned SU(3)-gluonic field between quarks and no additional mechanism of the spontaneous chiral symmetry breaking connected to the so-called Goldstone bosons is required. Finally, a possible relation of the results obtained with a phenomenological string-like picture of confinement is discussed too.

hep-ph↗

arXiv2008

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an $η^\prime$-meson

The confinement mechanism proposed earlier by the author is applied to estimate the possible parameters of the confining SU(3)-gluonic field in an $η^\prime$-meson. For this aim the electric form factor of an $η^\prime$-meson is nonperturbatively computed in an explicit analytic form. The estimates obtained are also consistent with the width of the electromagnetic decay $η^\prime\to2γ$. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the meson under consideration.

hep-ph↗

arXiv2008

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches

The confinement mechanism earlier proposed by author is applied to describe the (possible) ground state of toponium $η_t$. For this aim the nonperturbative consistent approach is elaborated in both relativistic and nonrelativistic cases. The study entails estimates for parameters of the confining SU(3)-gluonic field in the above quarkonium, those estimates being also consistent with possible width of decay $η_t\to2γ$. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of toponium.

hep-ph↗

arXiv2007

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in $η$-meson from two-photon decay

On the basis of the confinement mechanism earlier proposed by author, the electric form factor of $η$-meson is nonperturbatively calculated. The latter is then applied to describe electromagnetic decay $η\to2γ$ which entails estimates for parameters of the confining SU(3)-gluonic field in $η$-meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field.

hep-ph↗

arXiv2007

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in π^0-meson from one- and two-photon decays

On the basis of the confinement mechanism earlier proposed by author the electric formfactor of $π^0$-meson is nonperturbatively calculated. The latter is then applied to describing electromagnetic decays $π^0\to2γ$ and $π^0\to e^+e^-γ$ which entails estimates for parameters of the confining SU(3)-gluonic field in $π^0$-meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field.

hep-ph↗

arXiv2006

Estimates for parameters and characteristics of the confining SU(3)-gluonic field in pions and kaons

The estimates of parameters for the classical SU(3)-gluonic field responsible for linear confinement are given for pions and kaons. Also estimates for the characteristics of the mentioned field such as gluon concentrations, electric and magnetic colour field strengths are adduced along with those for quark velocities in mesons under discussion. Possible connection of the obtained results with potential approach and string-like picture of confinement is outlined as well.

hep-ph↗

arXiv2005

Intersection of black hole theory and quantum chromodynamics: the gluon propagator corresponding to linear confinement at large distances and relativistic bound states in the confining SU(N)-Yang-Mills fields

The exact nonperturbative confining solutions of the SU(3)-Yang-Mills equations recently obtained by author in Minkowski spacetime with the help of the black hole theory techniques are analysed and on the basis of them the gluon propagator corresponding to linear confinement at large distances (small momenta) is constructed in a nonperturbative way. At small distances (large momenta) the resulting propagator passes on to the standard (nonperturbative) gluon propagator used in the perturbative quantum chromodynamics (QCD). The results suggest some scenario of linear confinement for mesons and quarkonia which is also outlined. As a consequence there arises a motivation for studying the relativistic bound states in the above confining SU($N$)-Yang-Mills fields. This possiblity is realized for $N=2,3,4$ with the aid of the black hole theory results about spinor fields on black holes with a subsequent application to the charmonium spectrum in the most important physical case N=3. Incidentally uniqueness of the confining solutions is discussed and a comparison with the nonrelativistic potential approach is given.

hep-th↗

arXiv2005

Increase of the electron-positron Hawking radiation from Schwarzschild black holes by Dirac monopoles

An algorithm for numerical computation of the barrier transparency for the potentials surrounding Schwarzschild black holes is described for massive spinor particles. It is then applied to calculate the total (including electronic neutrino and the contributions of twisted field configurations connected with Dirac monopoles) luminosity for the electron-positron Hawking radiation from a Schwarzschild black hole with mass $M=10^{15}$ g. It is found that the contribution due to monopoles can be of order 12% of the total electron-positron luminosity.

astro-ph↗

arXiv2005

Structure of the confining solutions for SU(3)-Yang-Mills equations and confinement mechanism

Structure of exact solutions modelling confinement is discussed for SU(3)-Yang-Mills equations and uniqueness of such confining solutions is proved in a certain sense. Relationship of the obtained results to QCD and the confinement mechanism is considered. Incidentally the Wilson confinement criterion for the found solutions is verified and also numerical estimates for strength of magnetic colour field responsible for linear confinement are adduced in the ground state of charmonium.

hep-ph↗

arXiv2004

Estimates of the gluon concentrations in the confining SU(3)-Yang-Mills field for the first three states of charmonium

The estimates of the gluon concentrations in the classical SU(3)-Yang-Mills field modelling confinement are given for the first three states of charmonium whose spectrum is tuned by calculating electromagnetic transitions among the mentioned levels in dipole approximation. For comparison the corresponding estimates for the photon concentration in the ground state of positronium (parapositronium and orthopositronium) are also adduced.

hep-ph↗

arXiv2003

Increase of the Hawking radiation for spinor particles from Schwarzschild black holes by Dirac monopoles

An algorithm for numerical computation of the barrier transparency for the potentials surrounding Schwarzschild black holes is described for massless spinor particles. It is then applied to calculate the all configurations (including the contributions of twisted field configurations connected with Dirac monopoles) luminosity for the Hawking radiation from a Schwarzschild black hole. It is found that the contribution due to monopoles can be of order 22 % of the all configurations luminosity.

astro-ph↗

arXiv2003

Dirac equation in the confining SU(3)-Yang-Mills field and the relativistic effects in quarkonia spectra

The recently obtained solutions of Dirac equation in the confining SU(3)-Yang-Mills field in Minkowski spacetime are applied to describe the energy spectra of quarkonia (charmonium and bottomonium). The nonrelativistic limit is considered for the relativistic effects to be estimated in a self-consistent way and it is shown that the given effects are extremely important for both the energy spectra and the confinement mechanism.

hep-ph↗

arXiv2003

Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum

The recently obtained solutions of the Dirac equation in the confining SU(3)-Yang-Mills field in Minkowski spacetime are applied to describe the energy spectrum of charmonium. The nonrelativistic limit is considered for the relativistic effects to be estimated in a self-consistent way and it is shown that the given effects could be extremely important for both the energy spectrum and the confinement mechanism.

hep-ph↗