3,901 research outputs found
Casimir effect in a weak gravitational field and the spacetime index of refraction
In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one
can calculate the effect of a weak stationary gravitational field on vacuum
energy in the context of Casimir effect in an external gravitational field
treated in 1+3 formulation of spacetime decomposition.. In this article,
employing quntum field theory in curved spacetime, we explicitly calculate the
effect of a weak static gravitational field on virtual massless scalar
particles in a Casimir apparatus. It is shown that, as expected from the
proposed conjecture, both the frequency and renormalized energy of the virtual
scalar field are affected by the gravitational field through its index of
refraction. This could be taken as a strong evidence in favour of the proposed
conjecture. Generalizations to weak {\it stationary} spacetimes and virtual
photons are also discussed.Comment: 11 pages, RevTex, typos corrected (combined with arXiv:0904.2904
published in PRD
, and molecules
We investigate theoretically baryon systems made of three hadrons which
contain one nucleon and one D meson, and in addition another meson, or . The systems are studied using the Fixed Center Approximation
to the Faddeev equations. The study is made assuming scattering of a or a
on a cluster, which is known to generate the ,
or the scattering of a nucleon on the cluster, which has been shown
to generate a hidden charm resonance named X(3700). We also investigate the
configuration of scattering of on the cluster, which is known to
generate the . In all cases we find bound states, with the
system, of exotic nature, more bound than the .Comment: 9 figure
The s-wave pion-nucleus optical potential
We calculate the s-wave part of the pion-nucleus optical potential using a
unitarized chiral approach that has been previously used to simultaneously
describe pionic hydrogen and deuterium data as well as low energy pi N
scattering in the vacuum. This energy dependent model allows for additional
isoscalar parts in the potential from multiple rescattering. We consider Pauli
blocking and pion polarization in an asymmetric nuclear matter environment.
Also, higher order corrections of the pi N amplitude are included. The model
can accommodate the repulsion required by phenomenological fits, though the
theoretical uncertainties are bigger than previously thought. At the same time,
we also find an enhancement of the isovector part compatible with empirical
determinations.Comment: 31 pages, 27 figure
An evaluation resource for geographic information retrieval
In this paper we present an evaluation resource for geographic information retrieval developed within the Cross Language Evaluation
Forum (CLEF). The GeoCLEF track is dedicated to the evaluation of geographic information retrieval systems. The resource
encompasses more than 600,000 documents, 75 topics so far, and more than 100,000 relevance judgments for these topics. Geographic
information retrieval requires an evaluation resource which represents realistic information needs and which is geographically
challenging. Some experimental results and analysis are reported
Entanglement in bosonic systems
We present a technique to resolve a Gaussian density matrix and its time
evolution through known expectation values in position and momentum. Further we
find the full spectrum of this density matrix and apply the technique to a
chain of harmonic oscillators to find agreement with conformal field theory in
this domain. We also observe that a non-conformal state has a divergent
entanglement entropy.Comment: 7 pages, 6 figure
One-Nucleon Effective Generators of the Poincare Group derived from a Field Theory: Mass Renormalization
We start from a Lagrangian describing scalar "nucleons" and mesons which
interact through a simple vertex. Okubo's method of unitary transformation is
used to describe a single nucleon dressed by its meson cloud. We find an
expression for the physical mass of the nucleon being correct up to second
order in the coupling constant. It is then verified that this result is the
same as the corresponding expression found by Feynman techniques. Finally we
also express the three boost operators in terms of the physical nucleon mass.
Doing so we find expressions for all the ten generators of Poincar\'e
transformations for the system of one single dressed nucleon.Comment: 19 pages, no figure
Thermodynamics of a model for RNA folding
We analyze the thermodynamic properties of a simplified model for folded RNA
molecules recently studied by G. Vernizzi, H. Orland, A. Zee (in {\it Phys.
Rev. Lett.} {\bf 94} (2005) 168103). The model consists of a chain of
one-flavor base molecules with a flexible backbone and all possible pairing
interactions equally allowed. The spatial pseudoknot structure of the model can
be efficiently studied by introducing a hermitian random matrix
model at each chain site, and associating Feynman diagrams of these models to
spatial configurations of the molecules. We obtain an exact expression for the
topological expansion of the partition function of the system. We calculate
exact and asymptotic expressions for the free energy, specific heat,
entanglement and chemical potential and study their behavior as a function of
temperature. Our results are consistent with the interpretation of as
being a measure of the concentration of in solution.Comment: 11 pages, 4 figure
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