546 research outputs found
Global superscaling analysis of quasielastic electron scattering with relativistic effective mass
We present a global analysis of the inclusive quasielastic electron
scattering data with a superscaling approach with relativistic effective mass.
The SuSAM* model exploits the approximation of factorization of the scaling
function out of the cross section under quasifree conditions. Our
approach is based on the relativistic mean field theory of nuclear matter where
a relativistic effective mass for the nucleon encodes the dynamics of nucleons
moving in presence of scalar and vector potentials. Both the scaling variable
and the single nucleon cross sections include the effective mass as a
parameter to be fitted to the data alongside the Fermi momentum . Several
methods to extract the scaling function and its uncertainty from the data are
proposed and compared. The model predictions for the quasielastic cross section
and the theoretical error bands are presented and discussed for nuclei along
the periodic table from to : H, H, He, He,
C, Li, Be, Mg, Ni,
Y, Sn, Ta, W, Au, O, Al,
Ca, Ca, Fe, Pb, and U.
We find that more than 9000 of the total data fall within the
quasielastic theoretical bands. Predictions for Ti and Ar are
also provided for the kinematics of interest to neutrino experiments.Comment: 26 pages, 20 figures and 4 table
Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
We analyze the consequences of the inclusion of the gluonic Polyakov loop in
chiral quark models at finite temperature. Specifically, the low-energy
effective chiral Lagrangian from two such quark models is computed. The tree
level vacuum energy density, quark condensate, pion decay constant and
Gasser-Leutwyler coefficients are found to acquire a temperature dependence.
This dependence is, however, exponentially small for temperatures below the
mass gap in the full unquenched calculation. The introduction of the Polyakov
loop and its quantum fluctuations is essential to achieve this result and also
the correct large counting for the thermal corrections. We find that new
coefficients are introduced at to account for the Lorentz
breaking at finite temperature. As a byproduct, we obtain the effective
Lagrangian which describes the coupling of the Polyakov loop to the Goldstone
bosons.Comment: 16 pages, no figure
Dimension two vacuum condensates in gauge-invariant theories
Gauge dependence of the dimension two condensate in Abelian and non-Abelian
Yang-Mills theory is investigated.Comment: 10 page
Center of mass momentum dependence of short-range correlations with the coarse-grained Granada potential
The effect of the center of mass motion on the high-momentum distributions of
correlated nucleon pairs is studied by solving the Bethe-Goldstone equation in
nuclear matter with the Granada nucleon-nucleon potential. We show that this
coarse-grained potential reduces the problem to an algebraic linear system of
five (ten) equations for uncoupled (coupled) partial waves that can be easily
solved. The corresponding relative wave functions of correlated pn, pp and nn
pairs are computed for different values of their CM momentum. We find that the
pn pairs dominate the high-momentum tail of the relative momentum distribution,
and that this only depends marginally on center of mass momentum. Our results
provide further justification and agreement for the factorization approximation
commonly used in the literature. This approximation assumes that the momentum
distribution of nucleon pairs can be factorized as the product of the center of
mass momentum distribution and the relative momentum distribution.Comment: 27 pages, 12 figures, corrected the treatment of the coupled
nucleon-nucleon partial waves, new authors adde
Photon distribution amplitudes and light-cone wave functions in chiral quark models
The leading- and higher-twist distribution amplitudes and light-cone wave
functions of real and virtual photons are analyzed in chiral quark models. The
calculations are performed in the nonlocal quark model based on the instanton
picture of QCD vacuum, as well as in the spectral quark model and the
Nambu--Jona-Lasinio model with the Pauli-Villars regulator, which both treat
interaction of quarks with external fields locally. We find that in all
considered models the leading-twist distribution amplitudes of the real photon
defined at the quark-model momentum scale are constant or remarkably close to
the constant in the variable, thus are far from the asymptotic limit form.
The QCD evolution to higher momentum scales is necessary and we carry it out at
the leading order of the perturbative theory for the leading-twist amplitudes.
We provide estimates for the magnetic susceptibility of the quark condensate
and the coupling , which in the nonlocal model turn out
to be close to the estimates from QCD sum rules. We find the higher-twist
distribution amplitudes at the quark model scale and compare them to the
Wandzura-Wilczek estimates. In addition, in the spectral model we evaluate the
distribution amplitudes and light-cone wave functions of the -meson.Comment: 24 pages, 15 figure
Chiral phase transition in a covariant nonlocal NJL model
The properties of the chiral phase transition at finite temperature and
chemical potential are investigated within a nonlocal covariant extension of
the Nambu-Jona-Lasinio model based on a separable quark-quark interaction. We
consider both the situation in which the Minkowski quark propagator has poles
at real energies and the case where only complex poles appear. In the
literature, the latter has been proposed as a realization of confinement. In
both cases, the behaviour of the physical quantities as functions of T and \mu
is found to be quite similar. In particular, for low values of T the chiral
transition is always of first order and, for finite quark masses, at certain
"end point" the transition turns into a smooth crossover. In the chiral limit,
this "end point" becomes a "tricritical" point. Our predictions for the
position of these points are similar, although somewhat smaller, than previous
estimates. Finally, the relation between the deconfining transition and chiral
restoration is also discussed.Comment: 11 pages, 2 figures. Figures modified, minor changes in the text. To
be published in Phys. Lett.
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