814 research outputs found
Forward dispersion relations and Roy equations in pi-pi scattering
We review results of an analysis of pipi interactions in S, P and D waves for
two-pion effective mass from threshold to about 1.4 GeV. In particular we show
a recent improvement of this analysis above the K anti-K threshold using more
data for phase shifts and including the S0 wave inelasticity from pipi -> K
anti-K. In addition, we have improved the fit to the f2(1270) resonance and
used a more flexible P wave parametrization above the K anti-K threshold and
included an estimation of the D2 wave inelasticity. The better accuracy thus
achieved also required a refinement of the Regge analysis above 1.42 GeV. We
have checked that the pipi scattering amplitudes obtained in this approach
satisfy remarkably well forward dispersion relations and Roy's equations.Comment: 6 pages, invited talk to the IV International Conference on Quarks
and Nuclear Physics QNP06, Madrid 5th-10th June 200
Supercontinuum in ionization by relativistically intense and short laser pulses: ionization without interference and its time analysis
Ionization by relativistically intense laser pulses of finite duration is
considered in the framework of strong-field quantum electrodynamics. Our main
focus is on the formation of ionization supercontinua. More specifically, when
studying the energy distributions of photoelectrons ionized by circularly
polarized pulses, we observe the appearance of broad structures lacking the
interference patterns. These supercontinua extend over hundreds of driving
photon energies, thus corresponding to high-order nonlinear processes. The
corresponding polar-angle distributions show asymmetries which are attributed
to the radiation pressure experienced by photoelectrons. Moreover, our time
analysis shows that the electrons comprising the supercontinuum can form pulses
of short duration. While we present the fully numerical results, their
interpretation is based on the saddle-point approximation for the ionization
probability amplitude.Comment: 13 pages, 10 figure
The pion-pion scattering amplitude. II: Improved analysis above threshold
We improve, in the energy region between threshold and
GeV, the energy-dependent phase shift analysis of scattering presented
in a previous paper. For the S0 wave we have included more data above
threshold and we have taken into account systematically the
elasticity data on the reaction . We here made a coupled
channel fit. For the D0 wave we have considered information on low energy
parameters, and imposed a better fit to the resonance. For both waves the
expressions we now find are substantially more precise than the previous ones.
We also provide slightly improved D2 and P waves, including the estimated
inelasticity for the first, and a more flexible parametrization between 1 and
1.42 GeV for the second. The accuracy of our amplitudes is now such that it
requires a refinement of the Regge analysis, for GeV, which
we also carry out. We show that this more realistic input produces
scattering amplitudes that satisfy better forward dispersion relations,
particularly for scattering.Comment: Plain TeX. 12 figures. Minor anomaly in the K-matrix fit corrected by
moving matching point to 932 MeV, and pole to 910.6 MeV. Results
unaltere
Space-time directional Lyapunov exponents for cellular automata
Space-time directional Lyapunov exponents are introduced. They describe the
maximal velocity of propagation to the right or to the left of fronts of
perturbations in a frame moving with a given velocity. The continuity of these
exponents as function of the velocity and an inequality relating them to the
directional entropy is proved
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