661 research outputs found
Couplings in coupled channels versus wave functions: application to the X(3872) resonance
We perform an analytical study of the scattering matrix and bound states in
problems with many physical coupled channels. We establish the relationship of
the couplings of the states to the different channels, obtained from the
residues of the scattering matrix at the poles, with the wave functions for the
different channels. The couplings basically reflect the value of the wave
functions around the origin in coordinate space. In the concrete case of the
X(3872) resonance, understood as a bound state of \ddn and \ddc (and
), with the \ddn loosely bound, we find that the couplings to the two
channels are essentially equal leading to a state of good isospin I=0
character. This is in spite of having a probability for finding the \ddn
state much larger than for \ddc since the loosely bound channel extends
further in space. The analytical results, obtained with exact solutions of the
Schr\"odinger equation for the wave functions, can be useful in general to
interpret results found numerically in the study of problems with unitary
coupled channels methods.Comment: 14 pages, 4 figure
Isospin breaking effects in the dynamical generation of the X(3872)
We have studied isospin breaking effects in the X(3872) resonance and found a
natural explanation for the branching fraction of the X decaying to
with two and three pions being close to unit. Within our framework the X(3872)
is a dynamically generated resonance in coupled channels. We also study the
relationship between the couplings of the resonance to the coupled channels
with its wave function, which further helps us to understand the isospin
structure of the resonance.Comment: 5 pages, 1 figure. To appear in the Proceedings of XIII International
Conference on Hadron Spectroscopy, November 29 - December 4, 2009, Florida
State Universit
The X(3872) and other X,Y,Z Resonances as Hidden Charm Meson-Meson Molecules
We report on some ideas concerning the nature of the X(3872) resonance and
the need for approximately equal charged and neutral components of . Then we discuss how some hidden charm states are obtained from the
interaction between vector mesons with charm and can be associated to some of
the charmonium-like X,Y,Z states. Finally we discuss how the nature of these
states could be investigated through different types of radiative decay.Comment: Presented at the Charm2010 Workshop, Beijing, Oct. 201
Gravitational and higher-order form factors of the pion in chiral quark models
The gravitational form factor of the pion is evaluated in two chiral quark
models and confronted to the recent full-QCD lattice data. We find good
agreement for the case of the Spectral Quark Model, which builds in the
vector-meson dominance for the charge form factor. We derive a simple relation
between the gravitational and electromagnetic form factors, holding in the
considered quark models in the chiral limit. The relation implies that the
gravitational mean squared radius is half the electromagnetic one. We also
analyze higher-order quark generalized form factors of the pion, related to
higher moments in the symmetric Bjorken X-variable of the generalized parton
distribution functions, and discuss their perturbative QCD evolution, needed to
relate the quark-model predictions to the lattice data. The values of the
higher-order quark form factors at t=0, computed on the lattice, also agree
with our quark model results within the statistical and method uncertainties.Comment: 12 pages, 4 figures, discussion and references adde
Renormalization approach to constituent quark models of Quarkonium
Constituent quark models, while successful, require a great deal of fine
tuning of the short distance interactions by introducing phenomenological
gluonic form factors which are ultimately designed to accurately reproduce the
spectrum. We apply and develop renormalization ideas to reduce the short
distance sensitivity and show that, as naively expected, but not explicitly
implemented in the models, the physics of binding is entirely linked to the
string tension whereas leptonic decays depend more on the gluon exchange
potential. We also show how the spectrum of S- and D- states is
successfully intertwined through the singular tensor interaction.Comment: 20 pages, 11 figure
Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
The transversity generalized parton distributions (tGPDs) of the the pion,
involving matrix elements of the tensor bilocal quark current, are analyzed in
chiral quark models. We apply the nonlocal chiral models involving a
momentum-dependent quark mass, as well as the local Nambu--Jona-Lasinio with
the Pauli-Villars regularization to calculate the pion tGPDs, as well as
related quantities following from restrained kinematics, evaluation of moments,
or taking the Fourier-Bessel transforms to the impact-parameter space. The
obtained distributions satisfy the formal requirements, such as proper support
and polynomiality, following from Lorentz covariance. We carry out the
leading-order QCD evolution from the low quark-model scale to higher lattice
scales, applying the method of Kivel and Mankiewicz. We evaluate several
lowest-order generalized transversity form factors, accessible from the recent
lattice QCD calculations. These form factors, after evolution, agree properly
with the lattice data, in support of the fact that the spontaneously broken
chiral symmetry is the key element also in the evaluation of the transversity
observables.Comment: 17 pages, 17 figures, regular pape
Nucleon-Nucleon interaction, charge symmetry breaking and renormalization
We study the interplay between charge symmetry breaking and renormalization
in the NN system for s-waves. We find a set of universality relations which
disentangle explicitly the known long distance dynamics from low energy
parameters and extend them to the Coulomb case. We analyze within such an
approach the One-Boson-Exchange potential and the theoretical conditions which
allow to relate the proton-neutron, proton-proton and neutron-neutron
scattering observables without the introduction of extra new parameters and
providing good phenomenological success.Comment: 15 pages, 6 figure
Low Energy Chiral Lagrangian in Curved Space-Time from the Spectral Quark Model
We analyze the recently proposed Spectral Quark Model in the light of Chiral
Perturbation Theory in curved space-time. In particular, we calculate the
chiral coefficients , as well as the coefficients ,
, and , appearing when the model is coupled to gravity. The
analysis is carried for the SU(3) case. We analyze the pattern of chiral
symmetry breaking as well as elaborate on the fulfillment of anomalies.
Matching the model results to resonance meson exchange yields the relation
between the masses of the scalar, tensor and vector mesons,
. Finally, the
large- limit suggests the dual relations in the vector and scalar
channels, and .Comment: 18 pages, no figure
Spectral quark model and low-energy hadron phenomenology
We propose a spectral quark model which can be applied to low energy hadronic
physics. The approach is based on a generalization of the Lehmann
representation of the quark propagator. We work at the one-quark-loop level.
Electromagnetic and chiral invariance are ensured with help of the gauge
technique which provides particular solutions to the Ward-Takahashi identities.
General conditions on the quark spectral function follow from natural physical
requirements. In particular, the function is normalized, its all positive
moments must vanish, while the physical observables depend on negative moments
and the so-called log-moments. As a consequence, the model is made finite,
dispersion relations hold, chiral anomalies are preserved, and the twist
expansion is free from logarithmic scaling violations, as requested of a
low-energy model. We study a variety of processes and show that the framework
is very simple and practical. Finally, incorporating the idea of vector-meson
dominance, we present an explicit construction of the quark spectral function
which satisfies all the requirements. The corresponding momentum representation
of the resulting quark propagator exhibits only cuts on the physical axis, with
no poles present anywhere in the complex momentum space. The momentum-dependent
quark mass compares very well to recent lattice calculations. A large number of
predictions and relations can be deduced from our approach for such quantities
as the pion light-cone wave function, non-local quark condensate, pion
transition form factor, pion valence parton distribution function, etc.Comment: revtex, 24 pages, 3 figure
Generalized vector form factors of the pion in a chiral quark model
Generalized vector form factors of the pion, related to the moments of the
generalized parton distribution functions, are evaluated in the
Nambu--Jona-Lasinio model with the Pauli-Villars regularization. The lowest
moments (the electromagnetic and the gravitational form factors) are compared
to recent lattice data, with fair agreement. Predictions for higher-order
moments are also made. Relevant features of the generalized form factors in the
chiral quark models are highlighted and the role of the QCD evolution for the
higher-order GFFs is stressed.Comment: Dedicated to the memory of Manoj K. Banerjee, to appear in a special
issue of the Indian Journal of Physics, 6 pages, 4 figure
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