500 research outputs found
Two-photon exchange at low Q^2
We study two-photon exchange for elastic electron-proton scattering at low
Q^2. Compact approximate formulae for the amplitudes are obtained. Numerical
calculations are done for Q^2 < 0.1 GeV^2 with several realistic form factor
parameterizations, yielding similar results. They indicate that the corrections
to magnetic form factor can visibly affect cross-section and proton radii. For
low-Q^2 electron-neutron scattering two-photon exchange corrections are shown
to be negligibly small.Comment: 5 pages, 4 figure
Two-photon exchange amplitudes for the elastic scattering at Q^2=2.5 GeV^2 from the experimental data
We extract two-photon exchange amplitudes for the elastic electron-proton
scattering at Q^2=2.5 GeV^2 from the unpolarized cross-section and recent
polarization transfer measurements. There are three independent amplitudes, but
only one of them, \delta G_M, can be determined with a reasonable
accuracy(about 10%). The result is in good agreement with theoretical
predictions. Rough estimates for two other amplitudes are obtained.Comment: 3 pages, 3 figure
Generalization of multifractal theory within quantum calculus
On the basis of the deformed series in quantum calculus, we generalize the
partition function and the mass exponent of a multifractal, as well as the
average of a random variable distributed over self-similar set. For the
partition function, such expansion is shown to be determined by binomial-type
combinations of the Tsallis entropies related to manifold deformations, while
the mass exponent expansion generalizes the known relation .
We find equation for set of averages related to ordinary, escort, and
generalized probabilities in terms of the deformed expansion as well.
Multifractals related to the Cantor binomial set, exchange currency series, and
porous surface condensates are considered as examples. Keywords:Multifractal
set; Deformation; Power series.Comment: 12 pages, 4 figures, accepted by EP
Proton charge and magnetic rms radii from the elastic scattering data
The elastic electron-proton scattering data are analysed in order to
determine proton charge and magnetic rms radii, r_E and r_M. Along with the
usual statistical error, we try to estimate a systematic error in the radii,
caused by the inadequacy of particular form factor parameterization employed.
The range of data to use in the analysis is chosen so as to minimize the total
(statistical + systematic) error. We obtain r_E = 0.912 +- 0.009 (stat) +-
0.007 (syst) fm, and r_M = 0.876 +- 0.010 (stat) +- 0.016 (syst) fm. The
cross-section data were corrected for two-photon exchange. We found that
without such corrections obtained r_E and r_M are somewhat smaller while the
quality of fit is worse.Comment: 6 pages, 4 figures. Numbers slightly changed due to discovered error
in minimization program. Sec.III revised, discussion of G_E behaviour added
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