20,247 research outputs found
Two-particle Kapitza-Dirac diffraction
We extend the study of Kapitza-Dirac diffraction to the case of two-particle
systems. Due to the exchange effects the shape and visibility of the
two-particle detection patterns show important differences for identical and
distinguishable particles. We also identify a novel quantum statistics effect
present in momentum space for some values of the initial particle momenta,
which is associated with different numbers of photon absorptions compatible
with the final momenta.Comment: Minor changes with the published versio
Dark Matter and Vector-like Leptons From Gauged Lepton Number
We investigate a simple model where Lepton number is promoted to a local
gauge symmetry which is then spontaneously broken, leading to a viable
thermal DM candidate and vector-like leptons as a byproduct. The dark matter
arises as part of the exotic lepton sector required by the need to satisfy
anomaly cancellation and is a Dirac electroweak (mostly) singlet neutrino. It
is stabilized by an accidental global symmetry of the renormalizable Lagrangian
which is preserved even after the gauged lepton number is spontaneously broken
and can annihilate efficiently to give the correct thermal relic abundance. We
examine the ability of this model to give a viable DM candidate and discuss
both direct and indirect detection implications. We also examine some of the
LHC phenomenology of the associated exotic lepton sector and in particular its
effects on Higgs decays.Comment: References and a few comments adde
Revisiting Complex Moments For 2D Shape Representation and Image Normalization
When comparing 2D shapes, a key issue is their normalization. Translation and
scale are easily taken care of by removing the mean and normalizing the energy.
However, defining and computing the orientation of a 2D shape is not so simple.
In fact, although for elongated shapes the principal axis can be used to define
one of two possible orientations, there is no such tool for general shapes. As
we show in the paper, previous approaches fail to compute the orientation of
even noiseless observations of simple shapes. We address this problem. In the
paper, we show how to uniquely define the orientation of an arbitrary 2D shape,
in terms of what we call its Principal Moments. We show that a small subset of
these moments suffice to represent the underlying 2D shape and propose a new
method to efficiently compute the shape orientation: Principal Moment Analysis.
Finally, we discuss how this method can further be applied to normalize
grey-level images. Besides the theoretical proof of correctness, we describe
experiments demonstrating robustness to noise and illustrating the method with
real images.Comment: 69 pages, 20 figure
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