252 research outputs found
Bethe-Salpeter study of radially excited vector quarkonia
We solve the Bethe-Salpeter equation (BSE) for a system of a heavy
quark-antiquark pair interacting with a Poincare invariant generalization of
screened linear confining potential. In order to get reliable description the
Lorentz scalar confining interaction is complemented by the effective one gluon
exchange. Within presented model we reasonably reproduce all known radial
excitations of the vector charmonia. We have found that is the only
charmonium left bellow naive quark-antiquark threshold , while the all
excited states are situated above this threshold. We develop a method which is
enable to provide solution of full four dimensional BSE for the all excited
states. We discuss the consequences of the use of the free propagators for
calculation of excited states above the threshold. The Bethe-Salpeter string
breaking scale appears to be relatively larger then the one
defined in various potential models .Comment: typos and grammar correcte
Quark self-energy and relativistic flux tube model
The contribution of the quark self energy to the meson masses is studied in
the framework of the relativistic flux tube model. The equivalence between this
phenomenological model and the more QCD based rotating string Hamiltonian is
used as a guide to perform the calculations. It is shown that the addition of
the quark self energy to the relativistic flux tube model preserves the
linearity of the Regge trajectories. But, following the definition taken for
the constituent quark masses, the Regge slope is preserved or decreased. In
this last case, experimental data can only by reproduced by using a string
tension around 0.245 GeV. Two procedures are also studied to treat the pure
flux tube contribution as a perturbation of a spinless Salpeter Hamiltonian.Comment: 4 figures, 4 table
Retardation effects in the rotating string model
A new method to study the retardation effects in mesons is presented.
Inspired from the covariant oscillator quark model, it is applied to the
rotating string model in which a non zero value is allowed for the relative
time between the quark and the antiquark. This approach leads to a retardation
term which behaves as a perturbation of the meson mass operator. It is shown
that this term preserves the Regge trajectories for light mesons, and that a
satisfactory agreement with the experimental data can be obtained if the quark
self-energy contribution is added. The consequences of the retardation on the
Coulomb interaction and the wave function are also analyzed.Comment: 4 figure
Dynamical origin and the pole structure of X(3872)
The dynamical mechanism of channel coupling with the decay channels is
applied to the case of coupled charmonium - states with .
A pole analysis is done and the production cross section is calculated
in qualitative agreement with experiment. The sharp peak at the
threshold and flat background are shown to be due to Breit-Wigner resonance,
shifted by channel coupling from the original position of 3954 MeV for the
, state. A similar analysis, applied to the , ,
, , allows us to associate the first one with the observed
J=2 and explains the destiny of .Comment: 5 pages, 4 figures. Accepted for publication in Phys. Rev. Let
On two- and three-body descriptions of hybrid mesons
Hybrid mesons are exotic mesons in which the color field is not in its ground
state. Their understanding deserves interest from a theoretical point of view,
because it is intimately related to nonperturbative aspects of QCD. In this
work, we analyze and compare two different descriptions of hybrid mesons,
namely a two-body system with an excited string, or a three-body
system. In particular, we show that the constituent gluon approach
is equivalent to an effective excited string in the heavy hybrid sector.
Instead of a numerical resolution, we use the auxiliary field technique. It
allows to find simplified analytical mass spectra and wave functions, and still
leads to reliable qualitative predictions. We also investigate the light hybrid
sector, and found a mass for the lightest hybrid meson which is in satisfactory
agreement with lattice QCD and other effective models.Comment: 2 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 possibility of Z(4430) resonance structure description in reaction
The possible description of Z(4430) as a pseudoresonance structure in reaction, is considered. The analysis is performed with
single-scattering contribution to elastic scattering via
intermediate energy.Comment: 3 pages, 4 figure
Decay constants of the heavy-light mesons from the field correlator method
Meson Green's functions and decay constants in different
channels are calculated using the Field Correlator Method. Both,
spectrum and , appear to be expressed only through universal
constants: the string tension , , and the pole quark masses.
For the -wave states the calculated masses agree with the experimental
numbers within MeV. For the and mesons the values of are equal to 210(10) and 260(10) MeV, respectively, and their ratio
=1.24(3) agrees with recent CLEO experiment. The values MeV are obtained for the , , and mesons
with the ratio =1.19(2) and =1.14(2). The decay constants
for the first radial excitations as well as the decay constants
in the vector channel are also calculated. The difference of
about 20% between and , and directly follows
from our analytical formulas.Comment: 37 pages, 10 tables, RevTeX
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