2,307 research outputs found
Quark-hadron duality in neutrino scattering
We present a phenomenological model of the quark-hadron transition in
neutrino-nucleon scattering. Using recently extracted weak nucleon transition
form factors, we investigate the extent to which local and global quark-hadron
duality is applicable in the neutrino F_1, F_2 and F_3 structure functions, and
contrast this with duality in electron scattering. Our findings suggest that
duality works relatively well for neutrino-nucleon scattering for the F_2 and
F_3 structure functions, but not as well for F_1. We also calculate the
quasielastic, resonance and deep inelastic contributions to the Adler sum rule,
and find it to be satisfied to within 10% for 0.5 < Q^2 < 2 GeV^2.Comment: 28 pages, 6 figure
Excited nucleon electromagnetic form factors from broken spin-flavor symmetry
A group theoretical derivation of a relation between the N --> Delta charge
quadrupole transition and neutron charge form factors is presented.Comment: 4 pages, Proc. of the 12 th Int'l. Workshop on the Physics of Excited
Nucleons, NSTAR 2009, Beijing, April 19-22, 200
Global-in-time solutions for the isothermal Matovich-Pearson equations
In this paper we study the Matovich-Pearson equations describing the process
of glass fiber drawing. These equations may be viewed as a 1D-reduction of the
incompressible Navier-Stokes equations including free boundary, valid for the
drawing of a long and thin glass fiber. We concentrate on the isothermal case
without surface tension. Then the Matovich-Pearson equations represent a
nonlinearly coupled system of an elliptic equation for the axial velocity and a
hyperbolic transport equation for the fluid cross-sectional area. We first
prove existence of a local solution, and, after constructing appropriate
barrier functions, we deduce that the fluid radius is always strictly positive
and that the local solution remains in the same regularity class. To the best
of our knowledge, this is the first global existence and uniqueness result for
this important system of equations
Laser Spectroscopy of Niobium Fission Fragments: First Use of Optical Pumping in an Ion Beam Cooler Buncher
A new method of optical pumping in an ion beam cooler buncher has been developed to selectively enhance ionic metastable state populations. The technique permits the study of elements previously inaccessible to laser spectroscopy and has been applied here to the study of Nb. Model independent mean-square charge radii and nuclear moments have been studied for Nb to cover the region of the N=50 shell closure and N≈60 sudden onset of deformation. The increase in mean-square charge radius is observed to be less than that for Y, with a substantial degree of β softness observed before and after N=60
Inclusive versus Exclusive EM Processes in Relativistic Nuclear Systems
Connections are explored between exclusive and inclusive electron scattering
within the framework of the relativistic plane-wave impulse approximation,
beginning with an analysis of the model-independent kinematical constraints to
be found in the missing energy--missing momentum plane. From the interplay
between these constraints and the spectral function basic features of the
exclusive and inclusive nuclear responses are seen to arise. In particular, the
responses of the relativistic Fermi gas and of a specific hybrid model with
confined nucleons in the initial state are compared in this work. As expected,
the exclusive responses are significantly different in the two models, whereas
the inclusive ones are rather similar. By extending previous work on the
relativistic Fermi gas, a reduced response is introduced for the hybrid model
such that it fulfills the Coulomb and the higher-power energy-weighted sum
rules. While incorporating specific classes of off-shellness for the struck
nucleons, it is found that the reducing factor required is largely
model-independent and, as such, yields a reduced response that is useful for
extracting the Coulomb sum rule from experimental data. Finally, guided by the
difference between the energy-weighted sum rules of the two models, a version
of the relativistic Fermi gas is devised which has the 0, 1 and 2 moments of the charge response which agree rather well
with those of the hybrid model: this version thus incorporates {\em a priori}
the binding and confinement effects of the stuck nucleons while retaining the
simplicity of the original Fermi gas.Comment: LaTex file with 15 .ps figure
Pole Term and Gauge Invariance in Deep Inelastic Scattering
In this paper we reconcile two contradictory statements about deep inelastic
scattering (DIS) in manifestly covariant theories: (i) the scattering must be
gauge invariant, even in the deep inelastic limit, and (ii) the pole term
(which is not gauge invariant in a covariant theory) dominates the scattering
amplitude in the deep inelastic limit. An ``intermediate'' answer is found to
be true. We show that, at all energies, the gauge dependent part of the pole
term cancels the gauge dependent part of the rescattering term, so that both
the pole and rescattering terms can be separately redefined in a gauge
invariant fashion. The resulting, redefined pole term is then shown to dominate
the scattering in the deep inelastic limit. Details are worked out for a simple
example in 1+1 dimensions.Comment: 10 figure
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