769 research outputs found
Diquark and triquark correlations in the deconfined phase of QCD
We use the non-perturbative Q\bar Q potential at finite temperatures derived
in the Field Correlator Method to obtain binding energies for the lowest
eigenstates in the Q\bar Q and QQQ systems (Q=c,b). The three--quark problem is
solved by the hyperspherical method. The solution provides an estimate of the
melting temperature and the radii for the different diquark and triquark bound
states. In particular we find that J/\psi and ground states survive up to
T \sim 1.3 T_c, where T_c is the critical temperature, while the corresponding
bottomonium states survive even up to higher temperature, T \sim 2.2 T_c.Comment: 11 pages, 1 figure; published versio
Analytic calculation of field-strength correlators
Field correlators are expressed using background field formalism through the
gluelump Green's functions. The latter are obtained in the path integral and
Hamiltonian formalism. As a result behaviour of field correlators is obtained
at small and large distances both for perturbative and nonperturbative parts.
The latter decay exponentially at large distances and are finite at x=0, in
agreement with OPE and lattice data.Comment: 28 pages, no figures; new material added, misprints correcte
Pentaquarks in the Jaffe-Wilczek approximation
The masses of , and pentaquarks are
evaluated in a framework of both the Effective Hamiltonian approach to QCD and
spinless Salpeter using the Jaffe--Wilczek diquark approximation and the string
interaction for the diquark--diquark--antiquark system. The pentaquark masses
are found to be in the region above 2 GeV. That indicates that the Goldstone
boson exchange effects may play an important role in the light pentaquarks. The
same calculations yield the mass of pentaquark 3250 MeV
and pentaquark 6509 MeV.Comment: 14 pages, 2 tables, LaTeX2e. References correcte
Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
The Stochastic Vacuum Model for QCD, proposed by Dosch and Simonov, is fused
with a Worldline casting of the underlying theory, i.e. QCD. Important,
non-perturbative features of the model are studied. In particular,
contributions associated with the spin-field interaction are calculated and
both the validity of the loop equations and of the Bianchi identity are
explicitly demonstrated. As an application, a simulated meson-meson scattering
problem is studied in the Regge kinematical regime. The process is modeled in
terms of the "helicoidal" Wilson contour along the lines introduced by Janik
and Peschanski in a related study based on a AdS/CFT-type approach. Working
strictly in the framework of the Stochastic Vacuum Model and in a semiclassical
approximation scheme the Regge behavior for the Scattering amplitude is
demonstrated. Going beyond this approximation, the contribution resulting from
boundary fluctuation of the Wilson loop contour is also estimated.Comment: 37 pages, 1 figure. Final version to appear in Phys.Rev.
Bottomonium dipion transitions
Dipion transitions of the subthreshold bottomonium levels with are studied in the
framework of the chiral decay Lagrangian, derived earlier. The channels are considered in the intermediate state and
realistic wave functions of and are used in the
overlap matrix elements. Imposing the Adler zero requirement on the transition
matrix element, one obtains 2d and 1d dipion spectra in reasonable agreement
with experiment.Comment: 34 pages, 18 figure
Pseudoscalar mesons and their radial excitations from the Effective Chiral Lagrangian
Effective Chiral Lagrangian is derived from QCD in the framework of Field
Correlator Method. It contains the effects of both confinement and chiral
symmetry breaking due to a special structure of the resulting quark mass
operator. It is shown that this Lagrangian describes light pseudoscalar mesons,
and Gell-Mann-Oakes-Renner relations for pions, eta and K mesons are
reproduced. Spectrum of radial excitations of pions and K mesons is found and
compared to experimentally known masses.Comment: 6 pages; v3: minor corrections, references adde
The matrix Hamiltonian for hadrons and the role of negative-energy components
The world-line (Fock-Feynman-Schwinger) representation is used for quarks in
arbitrary (vacuum and valence gluon) field to construct the relativistic
Hamiltonian. After averaging the Green's function of the white system
over gluon fields one obtains the relativistic Hamiltonian, which is matrix in
spin indices and contains both positive and negative quark energies. The role
of the latter is studied in the example of the heavy-light meson and the
standard einbein technic is extended to the case of the matrix Hamiltonian.
Comparison with the Dirac equation shows a good agreement of the results. For
arbitrary system the nondiagonal matrix Hamiltonian components are
calculated through hyperfine interaction terms. A general discussion of the
role of negative energy components is given in conclusion.Comment: 29 pages, no figure
QCD string and the Lorentz nature of confinement
We address the question of the Lorentz nature of the effective long-range
interquark interaction generated by the QCD string with quarks at the ends.
Studying the Dyson-Schwinger equation for a heavy-light quark-antiquark system,
we demonstrate explicitly how a Lorentz-scalar interaction appears in the
Diraclike equation for the light quark, as a consequence of chiral symmetry
breaking. We argue that the effective interquark interaction in the Hamiltonian
of the QCD string with quarks at the ends stems from this effective scalar
interaction.Comment: LaTeX2e, 5 pages, uses jetpl.cls (included), to appear in JETP Let
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