124 research outputs found
Observations on the radiative corrections to pion beta-decay
We find that, in the local V-A theory, the radiative corrections to pion
beta-decay involving the weak vector current, when evaluated in the current
algebra (CA) formulation in which quarks are the fundamental underlying fields,
show a small difference with the more elementary calculations based directly on
the pion fields. We show that this difference arises from a specific
short-distance effect that depends on the algebra satisfied by the weak and
electromagnetic currents. On the other hand, we present a simple theoretical
argument that concludes that this difference does not occur when the CA
formulation is compared with the chiral perturbation theory (chiPT) approach.
Comparisons with previous studies, and with a more recent calculation based on
chiPT, are included. We also briefly review the important differences between
the results in the local V-A theory and the Standard Model.Comment: 5 pages, 1 figure. V2: two paragraphs have been added in Section III.
Final version on PR
Relation between Light Cone Distribution Amplitudes and Shape Function in B mesons
The Bakamjian-Thomas relativistic quark model provides a Poincar\'e
representation of bound states with a fixed number of constituents and, in the
heavy quark limit, form factors of currents satisfy covariance and Isgur-Wise
scaling. We compute the Light Cone Distribution Amplitudes of mesons
as well as the Shape Function , that enters
in the decay , that are also covariant in this class of
models. The LCDA and the SF are related through the quark model wave function.
The former satisfy, in the limit of vanishing constituent light quark mass, the
integral relation given by QCD in the valence sector of Fock space. Using a
gaussian wave function, the obtained is identical to the so-called
Roman Shape Function. From the parameters for the latter that fit the spectrum we predict the behaviour of . We
discuss the important role played by the constituent light quark mass. In
particular, although for vanishing light quark mass, a
non-vanishing mass implies the unfamiliar result . Moreover,
we incorporate the short distance behaviour of QCD to ,
which has sizeable effects at large . We obtain the values for the
parameters GeV and
GeV. We compare with other theoretical approaches and illustrate the
great variety of models found in the literature for the functions ; hence the necessity of imposing further constraints as in the
present paper. We briefly review also the different phenomena that are
sensitive to the LCDA.Comment: 6 figure
Twist-2 Light-Cone Pion Wave Function
We present an analysis of the existing constraints for the twist-2 light-cone
pion wave function. We find that existing information on the pion wave function
does not exclude the possibility that the pion wave function attains its
asymptotic form. New bounds on the parameters of the pion wave function are
presented.Comment: 7 pages, LaTeX, 1 PS-figure, one reference added, minor changes in
the tex
A novel approach to light-front perturbation theory
We suggest a possible algorithm to calculate one-loop n-point functions
within a variant of light-front perturbation theory. The key ingredients are
the covariant Passarino-Veltman scheme and a surprising integration formula
that localises Feynman integrals at vanishing longitudinal momentum. The
resulting expressions are generalisations of Weinberg's infinite-momentum
results and are manifestly Lorentz invariant. For n = 2 and 3 we explicitly
show how to relate those to light-front integrals with standard energy
denominators. All expressions are rendered finite by means of transverse
dimensional regularisation.Comment: 10 pages, 5 figure
Form factors of the exotic baryons with isospin I=5/2
The electromagnetic form factors of the exotic baryons are calculated in the
framework of the relativistic quark model at small and intermediate momentum
transfer. The charge radii of the E+++ baryons are determined.Comment: 12pages, 2 figure
Transparent Nuclei and Deuteron-Gold Collisions at RHIC
The current normalization of the cross section of inclusive high-pT particle
production in deuteron-gold collisions measured RHIC relies on Glauber
calculations for the inelastic d-Au cross section. These calculations should be
corrected for diffraction. Moreover, they miss the Gribov's inelastic shadowing
which makes nuclei more transparent (color transparency). The magnitude of this
effect rises with energy and it may dramatically affect the normalization of
the RHIC data. We evaluate these corrections employing the light-cone dipole
formalism and found a rather modest corrections for the current normalization
of the d-Au data. The results of experiments insensitive to diffraction
(PHENIX, PHOBOS) should be renormalized by about 20% down, while those which
include diffraction (STAR), by only 10%. Such a correction completely
eliminates the Cronin enhancement in the PHENIX data for pions. The largest
theoretical uncertainty comes from the part of the inelastic shadowing which is
related to diffractive gluon radiation, or gluon shadowing. Our estimate is
adjusted to data for the triple-Pomeron coupling, however, other models do not
have such a restrictions and predict much stronger gluon shadowing. Therefore,
the current data for high-pT hadron production in d-Au collisions at RHIC
cannot exclude in a model independent way the possibility if initial state
suppression proposed by Kharzeev-Levin-McLerran. Probably the only way to
settle this uncertainty is a direct measurement of the inelastic d-Au cross
sections at RHIC. Also d-Au collisions with a tagged spectator nucleon may
serve as a sensitive probe for nuclear transparency and inelastic shadowing. We
found an illuminating quantum-mechanical effect: the nucleus acts like a lens
focusing spectators into a very narrow cone.Comment: Latex 50 pages. Based on lectures given by the author at Workshop on
High-pT Correlations at RHIC, Columbia University, May-June, 2003. The
version to appear in PR
Electroproduction of Charmonia off Nuclei
In a recent publication we have calculated elastic charmonium production in
ep collisions employing realistic charmonia wave functions and dipole cross
sections and have found good agreement with the data in a wide range of s and
Q^2. Using the ingredients from those calculations we calculate exclusive
electroproduction of charmonia off nuclei. Here new effects become important,
(i) color filtering of the c-cbar pair on its trajectory through nuclear
matter, (ii) dependence on the finite lifetime of the c-cbar fluctuation
(coherence length) and (iii) gluon shadowing in a nucleus compared to the one
in a nucleon. Total coherent and incoherent cross sections for C, Cu and Pb as
functions of s and Q^2 are presented together with some differential cross
sections. The results can be tested with future electron-nucleus colliders or
in peripheral collisions of ultrarelativistic heavy ions.Comment: 21 pages of Latex including 14 figures; few misprints are fixe
Trouble in Asymptopia---the Hulthen Model on the Light Front
We use light-front dynamics to calculate the electromagnetic form-factor for
the Hulthen model of the deuteron. For small momentum transfer Q^2 < 5 GeV^2
the relativistic effects are quite small. For Q^2 = 11 GeV^2 there is about a
13% discrepancy between the relativistic and non-relativistic approaches. For
asymptotically large momentum transfer, however, the light-front form factor,
log Q^2 /Q^4, markedly differs from the non-relativistic version, 1/Q^4. This
behavior is also present for any wave function, such as those obtained from
realistic potential models, which can be represented as a sum of Yukawa
functions. Furthermore, the asymptotic behavior is in disagreement with the
Drell-Yan-West relation. We investigate precisely how to determine the
asymptotic behavior and confront the problem underlying troublesome form
factors on the light front.Comment: 20 pages, 8 figures Accepted by Phys. Rev
Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering
We present a calculation of the cross section and the event generator of the
reaction . This reaction is sensitive to the pion
generalized dipole polarizabilities, namely, the longitudinal electric
, the transverse electric , and the magnetic
which, in the real-photon limit, reduce to the ordinary electric
and magnetic polarizabilities and , respectively.
The calculation of the cross section is done in the framework of chiral
perturbation theory at . A pion VCS event generator has been
written which is ready for implementation in GEANT simulation codes or for
independent use.Comment: 33 pages, Revtex, 15 figure
Generalized dipole polarizabilities and the spatial structure of hadrons
We present a phenomenological discussion of spin-independent, generalized
dipole polarizabilities of hadrons entering the virtual Compton scattering
process gamma* h -> gamma h. We introduce a new method of obtaining a tensor
basis with appropriate Lorentz-invariant amplitudes which are free from
kinematical singularities and constraints. We then motivate a gauge-invariant
separation into a generalized Born term containing ground-state properties
only, and a residual contribution describing the model-dependent internal
structure. The generalized dipole polarizabilities are defined in terms of
Lorentz-invariant residual amplitudes. Particular emphasis is laid on a
physical interpretation of these quantities as characterizing the spatial
distributions of the induced electric polarization and magnetization of
hadrons. It is argued that three dipole polarizabilities, namely the
longitudinal electric alpha_L(q^2), the transverse electric alpha_T(q^2), and
the magnetic beta(q^2) ones are required in order to fully reconstruct local
polarizations induced by soft external fields in a hadron. One of these
polarizabilities, alpha_T(q^2), describes an effect of higher order in the soft
final-photon momentum q'. We argue that the associated spatial distributions
obtained via the Fourier transforms in the Breit frame are meaningful even for
such a light particle as the pion. The spatial distributions are determined at
large distances r ~ 1/m_pi for pions, kaons, and octet baryons by use of ChPT.Comment: 41 pages, 5 figures, RevTex fil
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