15 research outputs found
Dynamics of the QCD String with Light and Heavy Quarks
The generalization of the effective action [1] of the quark--antiquark system
in the confining vacuum is performed for the case of arbitrary quark masses.
The interaction of quarks is described by the averaged Wilson loop for which we
use the minimal area law asymptotics.
The system is quantized by the path integral method and the quantum
Hamiltonian is obtained. It contains not only quark degrees of freedom but also
the string energy density.
As well as in the equal masses case [1] two dynamical regimes are found [2]:
for large orbital excitations () the system is represented as rotating
string, which leads to asymptotically linear Regge trajectories, while at small
one obtains a potential-like relativistic or nonrelativistic regime.
In the limiting cases of light-light and heavy-light mesons a unified
description is developed [2]. For the Regge trajectories one obtains nearly
straight-line patterns with the slope very close to and correspondingly. The upper bound on the light quark(s) masses which
doesn't change considerably this property of the trajectories is also found.Comment: 31 pages, preprint ITEP 62-9
Semiclassical Quantization of Effective String Theory and Regge Trajectories
We begin with an effective string theory for long distance QCD, and evaluate
the semiclassical expansion of this theory about a classical rotating string
solution, taking into account the the dynamics of the boundary of the string.
We show that, after renormalization, the zero point energy of the string
fluctuations remains finite when the masses of the quarks on the ends of the
string approach zero. The theory is then conformally invariant in any spacetime
dimension D. For D=26 the energy spectrum of the rotating string formally
coincides with that of the open string in classical Bosonic string theory.
However, its physical origin is different. It is a semiclassical spectrum of an
effective string theory valid only for large values of the angular momentum.
For D=4, the first semiclassical correction adds the constant 1/12 to the
classical Regge formula.Comment: 65 pages, revtex, 3 figures, added 2 reference
Auxiliary fields and hadron dynamics
The relations existing between the auxiliary field (einbein field) formalism
and the spinless Salpeter equation are studied in the case of two particles
with the same mass, interacting via a confining potential. The problem of
non-orthogonality for radial excited states in the auxiliary field formalism is
discussed and found to be non-crucial. It is shown that the classical equations
of motion of the rotating string model, derived from the QCD lagrangian, reduce
exactly to the classical equations of motion of the phenomenological
semirelativistic flux tube model, provided all auxiliary fields are eliminated
correctly from the rotating string hamiltonian
Nonperturbative hyperfine contribution to the and meson masses
Due to the nonperturbative contribution to the hyperfine splitting the mass
of the state is strongly correlated with the center of gravity of the multiplet: is less than by about 40 MeV (20 MeV) for the 1P (2P) state. For
the agreement with experiment is reached only if belongs to the
multiplet. The predicted mass of is MeV.
For the isoscalar meson a correlation between the mass of (1170)
and composed from light (strange) quarks also
takes place.Comment: 22 pages RevTe
Magnetic string contribution to hadron dynamics in QCD
Dynamics of a light quark in the field of static source (heavy-light meson)
is studied using the nonlinear Dirac equation, derived recently. Special
attention is paid to the contribution of magnetic correlators and it is found
that it yields a significant increase of string tension at intermediate
distances. The spectrum of heavy-light mesons is computed with account of this
contribution and compared to experimental and lattice data.Comment: 10 pages Revte
Properties of heavy quarkonia and B_c mesons in the relativistic quark model
The mass spectra and electromagnetic decay rates of charmonium, bottomonium
and B_c mesons are comprehensively investigated in the relativistic quark
model. The presence of only heavy quarks allows the expansion in powers of
their velocities. All relativistic corrections of order v^2/c^2, including
retardation effects and one-loop radiative corrections, are systematically
taken into account in the computations of the mass spectra. The obtained wave
functions are used for the calculation of radiative magnetic dipole (M1) and
electric dipole (E1) transitions. It is found that relativistic effects play a
substantial role. Their account and the proper choice of the Lorentz structure
of the quark-antiquark interaction in a meson is crucial for bringing
theoretical predictions in accord with experimental data. A detailed comparison
of the calculated decay rates and branching fractions with available
experimental data for radiative decays of charmonium and bottomonium is
presented. The possibilities to observe the currently missing spin-singlet S
and P states as well as D states in bottomonium are discussed. The results for
B_c masses and decays are compared with other quark model predictions.Comment: 31 pages, 2 figures, minor correction
Analytic Methods in Nonperturbative QCD
Recently developed analytic methods in the framework of the Field Correlator
Method are reviewed in this series of four lectures and results of calculations
are compared to lattice data and experiment. Recent lattice data demonstrating
the Casimir scaling of static quark interaction strongly support the FCM and
leave very little space for all other theoretical models, e.g. instanton
gas/liquid model. Results of calculations for mesons, baryons, quark-gluon
plasma and phase transition temperature demonstrate that new analytic methods
are a powerful tool of nonperturbative QCD along with lattice simulations.Comment: LaTeX, 34 pages; Lectures given at the 13th Indian-Summer School
"Understanding the Structure of Hadrons", August 28 - September 1, 2000,
Prague, Czech Republi
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Coherent production of {epsilon}{sup +} particles in crystal using proton beam from SSC
The unique possibilities of the SSC can be ideally used for a new generation of coherent generation experiments with relativistic protons which require 20 Tev energy of the incident beam. The availability of 20 Tev proton beam at SSC allows new experiments on coherent production of {var_epsilon}{sup +} particle by relativistic proton in crystal. Experiment carried out at low energies can now be extended with protons in very narrow energy region (resonance energy, which easy can be calculated) using the new accelerator facilities at SSC. We propose to study coherent production via the Coulomb field of the cristal atoms to excite the transition p + {gamma}{implies} {var_epsilon} {sup +} (1189)