96 research outputs found
Perturbative QCD analysis of exclusive J/\psi+\eta_c production in e^+e^- annihilation
We analyze the exclusive charmonium pair production in
annihilation using the nonfactorized perturbative QCD and the
light-front quark model(LFQM) that goes beyond the peaking approximation. We
effectively include all orders of higher twist terms in the leading order of
QCD coupling constant and compare our nonfactorized analysis with the usual
factorized analysis in the calculation of the cross section. We also calculate
the quark distribution amplitudes, the Gegenbauer moments, and the decay
constants for and mesons using our LFQM. Our nonfactorized
result enhances the NRQCD result by a factor of at
GeV.Comment: 17 pages, 6figures; added 2 more figures; version to appear in
Physical Review
Distribution amplitudes and decay constants for mesons in light-front quark model
We present a calculation of the quark distribution amplitudes(DAs), the
Gegenbauer moments, and decay constants for and mesons using
the light-front quark model. While the quark DA for is somewhat broader
than the asymptotic one, that for meson is very close to the asymptotic
one. The quark DAs for and show asymmetric form due to the flavor
SU(3)-symmetry breaking effect. The decay constants for the transversely
polarized and mesons( and ) as well as the
longitudinally polarized ones( and ) are also obtained. Our
averaged values for , i.e. and
, are found to be consistent with other
model predictions. Especially, our results for the decay constants are in a
good agreement with the SU(6) symmetry relation,
.Comment: 12 pages, 6figure
Instanton-inspired Model of QCD Phase Transition and Bubble Dynamics
We have reinvestigated the collision of gluonic bubbles in a SU(2) model of
QCD which was studied by Johnson, Choi and Kisslinger in the context of the
instanton-inspired model of QCD phase transition bubbles with plane wave
approximation. We discuss treacherous points of the instanton-inspired model
that cause the violation of causality due to the presence of imaginary gluon
fields. By constructing a new slightly modified Lorentzian model where we have
three independent real gluon fields, we reanalyzed the process of bubble
collisions. Our numerical results show some indication of forming a bubble wall
in colliding region.Comment: 19 pages, 32 figure
Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
We study exclusive non-leptonic two-body
decays with (pseudoscalar or vector meson) being factored out in QCD
factorization approach. The non-leptonic decay amplitudes are related to the
product of meson decay constants and the form factors for semileptonic
decays. As inputs in obtaining the branching ratios for a large set of
non-leptonic decays, we use the weak form factors for the semileptonic
decays in the whole kinematical region and the
unmeasured meson decay constants obtained from our previous light-front quark
model. We compare our results of the branching ratios with those of other
theoretical studies.Comment: 11 pages, 3 figures, minor corrections, version to appear in PR
Electromagnetic Structure of the Meson in the Light-Front Quark Model
We investigate the elastic form factors of the rho meson in the light-front
quark model(LFQM). With the phenomenologically accessible meson vertices
including the one obtained by the Melosh transformation frequently used in the
LFQM, we find that only the helicity matrix element of the plus
current receives the zero-mode contribution. We quantify the zero-mode
contribution in the helicity amplitude using the angular condition of
spin-1 system. After taking care of the zero-mode issue, we obtain the
magnetic() and quadrupole() moments of the rho meson as and
, respectively, in the LFQM consistent with the Melosh transformation
and compare our results with other available theoretical predictions.Comment: 14pages, 5figure
The Rotation Average in Lightcone Time-Ordered Perturbation Theory
We present a rotation average of the two-body scattering amplitude in the
lightcone time()-ordered perturbation theory. Using a rotation average
procedure, we show that the contribution of individual time-ordered diagram can
be quantified in a Lorentz invariant way. The number of time-ordered diagrams
can also be reduced by half if the masses of two bodies are same. In the
numerical example of theory, we find that the higher Fock-state
contribution is quite small in the lightcone quantization.Comment: 25 pages, REVTeX, epsf.sty, 69 eps file
Light-Front Dynamic Analysis of Bound States in Scalar Field Model
The light-front dynamics (LFD) of the scalar field model theory is analyzed
to solve the two-body bound-state problem. The light-front two-body bound-state
equation is extended to the full LFD kernel including the ladder, cross-ladder,
stretched-box, and particle-antiparticle creation/annihilation effects to study
the contributions of higher Fock-states. The light-front two-body equation is
also modified by the term corresponding to the self-energy corrections and
counter-terms. Using the variational principle, we obtain the numerical result
of the binding energy B versus the coupling constant \alpha\ for various mass
ratios of the constituent particles including the cases of non-zero exchange
particle mass. We also discuss the correlation between the mass spectrum and
the corresponding bound-state wavefunction.Comment: 21 pages, 13 figures. Submitted to Physical Review
Renormalized Effective QCD Hamiltonian: Gluonic Sector
Extending previous QCD Hamiltonian studies, we present a new renormalization
procedure which generates an effective Hamiltonian for the gluon sector. The
formulation is in the Coulomb gauge where the QCD Hamiltonian is renormalizable
and the Gribov problem can be resolved. We utilize elements of the Glazek and
Wilson regularization method but now introduce a continuous cut-off procedure
which eliminates non-local counterterms. The effective Hamiltonian is then
derived to second order in the strong coupling constant. The resulting
renormalized Hamiltonian provides a realistic starting point for approximate
many-body calculations of hadronic properties for systems with explicit gluon
degrees of freedom.Comment: 25 pages, no figures, revte
The General Theory of Quantum Field Mixing
We present a general theory of mixing for an arbitrary number of fields with
integer or half-integer spin. The time dynamics of the interacting fields is
solved and the Fock space for interacting fields is explicitly constructed. The
unitary inequivalence of the Fock space of base (unmixed) eigenstates and the
physical mixed eigenstates is shown by a straightforward algebraic method for
any number of flavors in boson or fermion statistics. The oscillation formulas
based on the nonperturbative vacuum are derived in a unified general
formulation and then applied to both two and three flavor cases. Especially,
the mixing of spin-1 (vector) mesons and the CKM mixing phenomena in the
Standard Model are discussed emphasizing the nonperturbative vacuum effect in
quantum field theory
The Vector Meson Form Factor Analysis in Light-Front Dynamics
We study the form factors of vector mesons using a covariant fermion field
theory model in dimensions. Performing a light-front calculation in the
frame in parallel with a manifestly covariant calculation, we note the
existence of a nonvanishing zero-mode contribution to the light-front current
and find a way of avoiding the zero-mode in the form factor calculations.
Upon choosing the light-front gauge (\ep^+_{h=\pm}=0) with circular
polarization and with spin projection , only the
helicity zero to zero matrix element of the plus current receives zero-mode
contributions. Therefore, one can obtain the exact light-front solution of the
form factors using only the valence contribution if only the helicity
components, , and , are used. We also compare our
results obtained from the light-front gauge in the light-front helicity basis
(i.e. ) with those obtained from the non-LF gauge in the instant form
linear polarization basis (i.e. ) where the zero-mode contributions to
the form factors are unavoidable.Comment: 33 pages; typo in Eq.(15) is corrected; comment on Ref.[9] is
corrected; version to appear in Phys. Rev.
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