32,481 research outputs found
Isolating the chiral magnetic effect from backgrounds by pair invariant mass
Topological gluon configurations in quantum chromodynamics induce quark
chirality imbalance in local domains, which can result in the chiral magnetic
effect (CME)--an electric charge separation along a strong magnetic field.
Experimental searches for the CME in relativistic heavy ion collisions via the
charge-dependent azimuthal correlator () suffer from large
backgrounds arising from particle correlations (e.g. due to resonance decays)
coupled with the elliptic anisotropy. We propose differential measurements of
the as a function of the pair invariant mass (), by
restricting to high thus relatively background free, and by
studying the dependence to separate the possible CME signal from
backgrounds. We demonstrate by model studies the feasibility and effectiveness
of such measurements for the CME search.Comment: 16 preprint pages 5 figures. v2: added a test with a broad
"instanton/sphaleron" peak, and added clarifying texts; v3: added event-shape
engineering (and two new figures) and expanded discussions on the low
invariant mass region; v4: repeated cautionary discussions in introduction
and conclusion sections, published versio
M\"obius and Laguerre geometry of Dupin Hypersurfaces
In this paper we show that a Dupin hypersurface with constant M\"{o}bius
curvatures is M\"{o}bius equivalent to either an isoparametric hypersurface in
the sphere or a cone over an isoparametric hypersurface in a sphere. We also
show that a Dupin hypersurface with constant Laguerre curvatures is Laguerre
equivalent to a flat Laguerre isoparametric hypersurface. These results solve
the major issues related to the conjectures of Cecil et al on the
classification of Dupin hypersurfaces.Comment: 45 pages. arXiv admin note: text overlap with arXiv:math/0512090 by
other author
Conditional Log-Laplace Functionals of Immigration Superprocesses with Dependent Spatial Motion
A non-critical branching immigration superprocess with dependent spatial
motion is constructed and characterized as the solution of a stochastic
equation driven by a time-space white noise and an orthogonal martingale
measure. A representation of its conditional log-Laplace functionals is
established, which gives the uniqueness of the solution and hence its Markov
property. Some properties of the superprocess including an ergodic theorem are
also obtained
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