66 research outputs found
On the Number of Facets of Three-Dimensional Dirichlet Stereohedra III: Full Cubic Groups
We are interested in the maximum possible number of facets that Dirichlet
stereohedra for three-dimensional crystallographic groups can have. The problem
for non-cubic groups was studied in previous papers by D. Bochis and the second
author (Discrete Comput. Geom. 25:3 (2001), 419-444, and Beitr. Algebra Geom.,
47:1 (2006), 89-120). This paper deals with ''full'' cubic groups, while
''quarter'' cubic groups are left for a subsequent paper. Here, ''full'' and
''quarter'' refers to the recent classification of three-dimensional
crystallographic groups by Conway, Delgado-Friedrichs, Huson and Thurston
(math.MG/9911185, Beitr. Algebra Geom. 42.2 (2001), 475-507).
Our main result in this paper is that Dirichlet stereohedra for any of the 27
full groups cannot have more than 25 facets. We also find stereohedra with 17
facets for one of these groups.Comment: 28 pages, 12 figures. Changes from v1: apart of some editing (mostly
at the end of the introduction) and addition of references, an appendix has
been added, which analyzes the case where the base point does not have
trivial stabilize
Influence of uncorrelated overlayers on the magnetism in thin itinerant-electron films
The influence of uncorrelated (nonmagnetic) overlayers on the magnetic
properties of thin itinerant-electron films is investigated within the
single-band Hubbard model. The Coulomb correlation between the electrons in the
ferromagnetic layers is treated by using the spectral density approach (SDA).
It is found that the presence of nonmagnetic layers has a strong effect on the
magnetic properties of thin films. The Curie temperatures of very thin films
are modified by the uncorrelated overlayers. The quasiparticle density of
states is used to analyze the results. In addition, the coupling between the
ferromagnetic layers and the nonmagnetic layers is discussed in detail. The
coupling depends on the band occupation of the nonmagnetic layers, while it is
almost independent of the number of the nonmagnetic layers. The induced
polarization in the nonmagnetic layers shows a long-range decreasing
oscillatory behavior and it depends on the coupling between ferromagnetic and
nonmagnetic layers.Comment: 9 pages, RevTex, 6 figures, for related work see:
http://orion.physik.hu-berlin.d
Determination of alphaS from Hadronic Event Shapes in e+e- Annihilation at 192 < sqrt(s) < 208 GeV
Results are presented from a study of the structure of high energy hadronic
events recorded by the L3 detector at sqrt(s)>192 GeV. The distributions of
several event shape variables are compared to resummed O(alphaS^2) QCD
calculations. We determine the strong coupling constant at three average
centre-of-mass energies: 194.4, 200.2 and 206.2 GeV. These measurements,
combined with previous L3 measurements at lower energies, demonstrate the
running of alphaS as expected in QCD and yield alphaS(mZ) = 0.1227 +- 0.0012 +-
0.0058, where the first uncertainty is experimental and the second is
theoretical
Neutral-Current Four-Fermion Production in e+e- Interactions at LEP
Neutral-current four-fermion production, e+e- -> ffff is studied in 0.7/fb of
data collected with the L3 detector at LEP at centre-of-mass energies
root(s)=183-209GeV. Four final states are considered: qqvv, qqll, llll and
llvv, where l denotes either an electron or a muon. Their cross sections are
measured and found to agree with the Standard Model predictions. In addition,
the e+e- -> Zgamma* -> ffff process is studied and its total cross section at
the average centre-of-mass energy 196.6GeV is found to be 0.29 +/- 0.05 +/-
0.03 pb, where the first uncertainty is statistical and the second systematic,
in agreement with the Standard Model prediction of 0.22 pb. Finally, the mass
spectra of the qqll final states are analysed to search for the possible
production of a new neutral heavy particle, for which no evidence is found
Z Boson Pair-Production at LEP
Events stemming from the pair-production of Z bosons in e^+e^- collisions are
studied using 217.4 pb^-1 of data collected with the L3 detector at
centre-of-mass energies from 200 GeV up to 209 GeV. The special case of events
with b quarks is also investigated.
Combining these events with those collected at lower centre-of-mass energies,
the Standard Model predictions for the production mechanism are verified. In
addition, limits are set on anomalous couplings of neutral gauge bosons and on
effects of extra space dimensions
Inclusive Lambda Production in Two-Photon Collisions at LEP
The reactions e^+e^- -> e^+e^- Lambda X and e^+e^- -> e^+e^- Lambda X are
studied using data collected at LEP with the L3 detector at centre-of-mass
energies between 189 and 209 GeV. Inclusive differential cross sections are
measured as a function of the lambda transverse momentum, p_t, and
pseudo-rapidity, eta, in the ranges 0.4 GeV < p_t < 2.5 GeV and |\eta| < 1.2.
The data are compared to Monte Carlo predictions. The differential cross
section as a function of p_t is well described by an exponential of the form A
exp (- p_t / )$
Search for Charged Higgs Bosons at LEP
A search for pair-produced charged Higgs bosons is performed with the L3
detector at LEP using data collected at centre-of-mass energies between 189 and
209GeV, corresponding to an integrated luminosity of 629.4/pb. Decays into a
charm and a strange quark or into a tau lepton and its neutrino are considered.
No significant excess is observed and lower limits on the mass of the charged
Higgs boson are derived at the 95% confidence level. They vary from 76.5 to
82.7GeV, as a function of the H->tv branching ratio
Study of the e+e- -> Ze+e- process at LEP
The cross section of the process e+e- -> Ze+e is measured with 0.7fb^-1 of
data collected with the L3 detector at LEP. Decays of the Z boson into quarks
and muons are considered at centre-of-mass energies ranging from 183GeV up to
209GeV. The measurements are found to agree with Standard Model predictions,
achieving a precision of about 10% for the hadronic channel
Search for a Higgs Boson Decaying to Weak Boson Pairs at LEP
A Higgs particle produced in association with a Z boson and decaying into
weak boson pairs is searched for in 336.4 1/pb of data collected by the L3
experiment at LEP at centre-of-mass energies from 200 to 209 GeV. Limits on the
branching fraction of the Higgs boson decay into two weak bosons as a function
of the Higgs mass are derived. These results are combined with the L3 search
for a Higgs boson decaying to photon pairs. A Higgs produced with a Standard
Model e+e- --> Zh cross section and decaying only into electroweak boson pairs
is excluded at 95% CL for a mass below 107 GeV
Inclusive Charged Hadron Production in Two-Photon Collisions at LEP
Inclusive charged hadron production, e+e- -> e+e- h+- X, is studied using 414
pb-1 of data collected at LEP with the L3 detector at centre-of-mass energies
between 189 and 202 GeV. Single particle inclusive differential cross sections
are measured as a function of the particle transverse momentum, pt, and
pseudo-rapidity, eta. For p_t < 1.5 GeV, the data are well described by an
exponential, typical of soft hadronic processes. For higher pt, the onset of
perturbative QCD processes is observed. The pi+- production cross section for
pt > 5 GeV is much higher than the NLO QCD predictions
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