3,951 research outputs found
A computational approach to the Thompson group
Let denote the Thompson group with standard generators , .
It is a long standing open problem whether is an amenable group. By a
result of Kesten from 1959, amenability of is equivalent to and to where in both
cases the norm of an element in the group ring is computed in
via the regular representation of . By extensive numerical
computations, we obtain precise lower bounds for the norms in and ,
as well as good estimates of the spectral distributions of
and of with respect to the tracial state on the
group von Neumann Algebra . Our computational results suggest, that
It is
however hard to obtain precise upper bounds for the norms, and our methods
cannot be used to prove non-amenability of .Comment: appears in International Journal of Algebra and Computation (2015
The LAEX and NASA portals for CoRoT public data
* Aims. We describe here the main functionalities of the LAEX (Laboratorio de
Astrofisica Estelar y Exoplanetas/Laboratory for Stellar Astrophysics and
Exoplanets) and NASA portals for CoRoT Public Data. The CoRoT archive at LAEX
was opened to the community in January 2009 and is managed in the framework of
the Spanish Virtual Observatory. NStED (NASA Star and Exoplanet Database)
serves as the CoRoT portal for the US astronomical community. NStED is a
general purpose stellar and exoplanet archive with the aim of providing support
for NASA planet finding and characterisation goals, and the planning and
support of NASA and other space missions. CoRoT data at LAEX and NStED can be
accessed at http://sdc.laeff.inta.es/corotfa/ and
http://nsted.ipac.caltech.edu,respectively.
* Methods. Based on considerable experience with astronomical archives, the
aforementioned archives are designed with the aim of delivering science-quality
data in a simple and efficient way.
* Results. LAEX and NStED not only provide access to CoRoT Public Data but
furthermore serve a variety of observed and calculated astrophysical data. In
particular, NStED provides scientifically validated information on stellar and
planetary data related to the search for and characterization of extrasolar
planets, and LAEX makes any information from Virtual Observatory services
available to the astronomical community.Comment: Accepted for publication in Astronomy & Astrophysic
Single neutral pion production by charged-current interactions on hydrocarbon at 3.6 GeV
Single neutral pion production via muon antineutrino charged-current
interactions in plastic scintillator (CH) is studied using the \minerva
detector exposed to the NuMI low-energy, wideband antineutrino beam at
Fermilab. Measurement of this process constrains models of neutral pion
production in nuclei, which is important because the neutral-current analog is
a background for appearance oscillation experiments. The
differential cross sections for momentum and production angle, for
events with a single observed and no charged pions, are presented and
compared to model predictions. These results comprise the first measurement of
the kinematics for this process.Comment: 6 pages, 5 figures, submitted to Physics Letters
Measurement of Total and Differential Cross Sections of Neutrino and Antineutrino Coherent Production on Carbon
Neutrino induced coherent charged pion production on nuclei,
, is a rare inelastic interaction in
which the four-momentum squared transfered to the nucleus is nearly zero,
leaving it intact. We identify such events in the scintillator of MINERvA by
reconstructing |t| from the final state pion and muon momenta and by removing
events with evidence of energetic nuclear recoil or production of other final
state particles. We measure the total neutrino and antineutrino cross sections
as a function of neutrino energy between 2 and 20 GeV and measure flux
integrated differential cross sections as a function of , and
. The dependence and equality of the neutrino and
anti-neutrino cross-sections at finite provide a confirmation of Adler's
PCAC hypothesis
First evidence of coherent meson production in neutrino-nucleus scattering
Neutrino-induced charged-current coherent kaon production,
, is a rare, inelastic electroweak process
that brings a on shell and leaves the target nucleus intact in its ground
state. This process is significantly lower in rate than neutrino-induced
charged-current coherent pion production, because of Cabibbo suppression and a
kinematic suppression due to the larger kaon mass. We search for such events in
the scintillator tracker of MINERvA by observing the final state ,
and no other detector activity, and by using the kinematics of the final state
particles to reconstruct the small momentum transfer to the nucleus, which is a
model-independent characteristic of coherent scattering. We find the first
experimental evidence for the process at significance.Comment: added ancillary file with information about the six kaon candidate
Measurement of Partonic Nuclear Effects in Deep-Inelastic Neutrino Scattering using MINERvA
The MINERvA collaboration reports a novel study of neutrino-nucleus
charged-current deep inelastic scattering (DIS) using the same neutrino beam
incident on targets of polystyrene, graphite, iron, and lead. Results are
presented as ratios of C, Fe, and Pb to CH. The ratios of total DIS cross
sections as a function of neutrino energy and flux-integrated differential
cross sections as a function of the Bjorken scaling variable x are presented in
the neutrino-energy range of 5 - 50 GeV. Good agreement is found between the
data and predicted ratios, based on charged-lepton nucleus scattering, at
medium x and low neutrino energies. However, the data rate appears depleted in
the vicinity of the nuclear shadowing region, x < 0.1. This apparent deficit,
reflected in the DIS cross-section ratio at high neutrino energy , is
consistent with previous MINERvA observations and with the predicted onset of
nuclear shadowing with the the axial-vector current in neutrino scattering
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