3,529 research outputs found
Formation of plasma around a small meteoroid: 1. Kinetic theory
This article is a companion to Dimant and Oppenheim [2017] https://doi.org/10.1002/2017JA023963.This paper calculates the spatial distribution of the plasma responsible for radar head echoes by applying the kinetic theory developed in the companion paper. This results in a set of analytic expressions for the plasma density as a function of distance from the meteoroid. It shows that at distances less than a collisional mean free path from the meteoroid surface, the plasma density drops in proportion to 1/R where R is the distance from the meteoroid center; and, at distances much longer than the meanâfreeâpath behind the meteoroid, the density diminishes at a rate proportional to 1/R2. The results of this paper should be used for modeling and analysis of radar head echoes.This work was supported by NSF grant AGS-1244842. (AGS-1244842 - NSF
A new look at C*-simplicity and the unique trace property of a group
We characterize when the reduced C*-algebra of a group has unique tracial
state, respectively, is simple, in terms of Dixmier-type properties of the
group C*-algebra. We also give a simple proof of the recent result by
Breuillard, Kalantar, Kennedy and Ozawa that the reduced C*-algebra of a group
has unique tracial state if and only if the amenable radical of the group is
trivial.Comment: 8 page
Scalar resonances in a unitary -wave model for
We propose a model for decays following
experimental results which indicate that the two-pion interaction in the
-wave is dominated by the scalar resonances and
. The weak decay amplitude for , where is a
resonance that subsequently decays into , is constructed in a
factorization approach. In the -wave, we implement the strong decay by means of a scalar form factor. This provides a unitary
description of the pion-pion interaction in the entire kinematically allowed
mass range from threshold to about 3 GeV. In order to
reproduce the experimental Dalitz plot for \Dppp, we include contributions
beyond the -wave. For the -wave, dominated by the , we use a
Breit-Wigner description. Higher waves are accounted for by using the usual
isobar prescription for the and . The major
achievement is a good reproduction of the experimental
distribution, and of the partial as well as the total \Dppp branching ratios.
Our values are generally smaller than the experimental ones. We discuss this
shortcoming and, as a byproduct, we predict a value for the poorly known transition form factor at .Comment: 23 pages, 2 figures. Two new equations. The value for the strength of
the contribution of the scalar form factor now agrees with other results in
the literature. Main results unchanged. Version to appear in Phys. Rev.
Final state interactions in B+- to K+ K- K+- decays
Charged B decays to three charged kaons are analysed in the framework of the
QCD factorization approach. The strong final state K+K-interactions are
described using the kaon scalar and vector form factors. The scalar non-strange
and strange form factors at low K+K- effective masses are constrained by chiral
perturbation theory and satisfy the two-body unitarity conditions. The latter
stem from the properties of the meson-meson amplitudes which describe all
possible S-wave transitions between three coupled channels consisting of two
kaons, two pions and four pions. The vector form factors are fitted to the data
on the electromagnetic kaon interactions. The model results are compared with
the Belle and BaBar data. Away from phi(1020) resonance, in the S-wave
dominated K+K- mass spectra, a possibility for a large CP asymmetry is
identified.Comment: 7 pages, 4 figures, modified version published in Physics Letters
Quenched QCD with domain wall fermions
We report on simulations of quenched QCD using domain wall fermions, where we
focus on basic questions about the formalism and its ability to produce
expected low energy hadronic physics for light quarks. The work reported here
is on quenched lattices at and 5.85, using values
for the length of the fifth dimension between 10 and 48. We report results for
parameter choices which lead to the desired number of flavors, a study of
undamped modes in the extra dimension and hadron masses.Comment: Contribution to Lattice '98. Presented by R. Mawhinney. 3 pages, 3
figure
Collective Decoherence of Nuclear Spin Clusters
The problem of dipole-dipole decoherence of nuclear spins is considered for
strongly entangled spin cluster. Our results show that its dynamics can be
described as the decoherence due to interaction with a composite bath
consisting of fully correlated and uncorrelated parts. The correlated term
causes the slower decay of coherence at larger times. The decoherence rate
scales up as a square root of the number of spins giving the linear scaling of
the resulting error. Our theory is consistent with recent experiment reported
in decoherence of correlated spin clusters.Comment: 4 pages, 4 figure
Dynamical QCD thermodynamics with domain wall fermions
We present results from numerical simulations of full, two flavor QCD
thermodynamics at N_t=4 with domain wall fermions. For the first time a
numerical simulation of the full QCD phase transition displays a low
temperature phase with spontaneous chiral symmetry breaking but intact flavor
symmetry and a high temperature phase with the full SU(2) x SU(2) chiral flavor
symmetry.Comment: LATTICE98(hightemp
Compound transfer matrices: Constructive and destructive interference
Scattering from a compound barrier, one composed of a number of distinct
non-overlapping sub-barriers, has a number of interesting and subtle
mathematical features. If one is scattering classical particles, where the wave
aspects of the particle can be ignored, the transmission probability of the
compound barrier is simply given by the product of the transmission
probabilities of the individual sub-barriers. In contrast if one is scattering
waves (whether we are dealing with either purely classical waves or quantum
Schrodinger wavefunctions) each sub-barrier contributes phase information (as
well as a transmission probability), and these phases can lead to either
constructive or destructive interference, with the transmission probability
oscillating between nontrivial upper and lower bounds. In this article we shall
study these upper and lower bounds in some detail, and also derive bounds on
the closely related process of quantum excitation (particle production) via
parametric resonance.Comment: V1: 28 pages. V2: 21 pages. Presentation significantly streamlined
and shortened. This version accepted for publication in the Journal of
Mathematical Physic
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