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0704.0001 | Pavel Nadolsky | C. Bal\'azs, E. L. Berger, P. M. Nadolsky, C.-P. Yuan | Calculation of prompt diphoton production cross sections at Tevatron and
LHC energies | 37 pages, 15 figures; published version | Phys.Rev.D76:013009,2007 | 10.1103/PhysRevD.76.013009 | ANL-HEP-PR-07-12 | hep-ph | null | A fully differential calculation in perturbative quantum chromodynamics is
presented for the production of massive photon pairs at hadron colliders. All
next-to-leading order perturbative contributions from quark-antiquark,
gluon-(anti)quark, and gluon-gluon subprocesses are included, as well as
all-orders resummation of initial-state gluon radiation valid at
next-to-next-to-leading logarithmic accuracy. The region of phase space is
specified in which the calculation is most reliable. Good agreement is
demonstrated with data from the Fermilab Tevatron, and predictions are made for
more detailed tests with CDF and DO data. Predictions are shown for
distributions of diphoton pairs produced at the energy of the Large Hadron
Collider (LHC). Distributions of the diphoton pairs from the decay of a Higgs
boson are contrasted with those produced from QCD processes at the LHC, showing
that enhanced sensitivity to the signal can be obtained with judicious
selection of events.
| [
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""
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""
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""
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] | 0 |
0704.0002 | Louis Theran | Ileana Streinu and Louis Theran | Sparsity-certifying Graph Decompositions | To appear in Graphs and Combinatorics | null | null | null | math.CO cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a new algorithm, the $(k,\ell)$-pebble game with colors, and use
it obtain a characterization of the family of $(k,\ell)$-sparse graphs and
algorithmic solutions to a family of problems concerning tree decompositions of
graphs. Special instances of sparse graphs appear in rigidity theory and have
received increased attention in recent years. In particular, our colored
pebbles generalize and strengthen the previous results of Lee and Streinu and
give a new proof of the Tutte-Nash-Williams characterization of arboricity. We
also present a new decomposition that certifies sparsity based on the
$(k,\ell)$-pebble game with colors. Our work also exposes connections between
pebble game algorithms and previous sparse graph algorithms by Gabow, Gabow and
Westermann and Hendrickson.
| [
{
"created": "Sat, 31 Mar 2007 02:26:18 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Dec 2008 17:26:00 GMT",
"version": "v2"
}
] | 2008-12-13 | [
[
"Streinu",
"Ileana",
""
],
[
"Theran",
"Louis",
""
]
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] | 1 |
0704.0003 | Hongjun Pan | Hongjun Pan | The evolution of the Earth-Moon system based on the dark matter field
fluid model | 23 pages, 3 figures | null | null | null | physics.gen-ph | null | The evolution of Earth-Moon system is described by the dark matter field
fluid model proposed in the Meeting of Division of Particle and Field 2004,
American Physical Society. The current behavior of the Earth-Moon system agrees
with this model very well and the general pattern of the evolution of the
Moon-Earth system described by this model agrees with geological and fossil
evidence. The closest distance of the Moon to Earth was about 259000 km at 4.5
billion years ago, which is far beyond the Roche's limit. The result suggests
that the tidal friction may not be the primary cause for the evolution of the
Earth-Moon system. The average dark matter field fluid constant derived from
Earth-Moon system data is 4.39 x 10^(-22) s^(-1)m^(-1). This model predicts
that the Mars's rotation is also slowing with the angular acceleration rate
about -4.38 x 10^(-22) rad s^(-2).
| [
{
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{
"created": "Sat, 8 Dec 2007 23:47:24 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Jan 2008 00:36:28 GMT",
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] | 2 |
0704.0004 | David Callan | David Callan | A determinant of Stirling cycle numbers counts unlabeled acyclic
single-source automata | 11 pages | null | null | null | math.CO | null | We show that a determinant of Stirling cycle numbers counts unlabeled acyclic
single-source automata. The proof involves a bijection from these automata to
certain marked lattice paths and a sign-reversing involution to evaluate the
determinant.
| [
{
"created": "Sat, 31 Mar 2007 03:16:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Callan",
"David",
""
]
] | 07 | [
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] | 3 |
0704.0005 | Alberto Torchinsky | Wael Abu-Shammala and Alberto Torchinsky | From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$ | null | Illinois J. Math. 52 (2008) no.2, 681-689 | null | null | math.CA math.FA | null | In this paper we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge
0$, using the dyadic grid. This result is a consequence of the description of
the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms.
| [
{
"created": "Mon, 2 Apr 2007 18:09:58 GMT",
"version": "v1"
}
] | 2013-10-15 | [
[
"Abu-Shammala",
"Wael",
""
],
[
"Torchinsky",
"Alberto",
""
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] | 4 |
0704.0006 | Yue Hin Pong | Y. H. Pong and C. K. Law | Bosonic characters of atomic Cooper pairs across resonance | 6 pages, 4 figures, accepted by PRA | null | 10.1103/PhysRevA.75.043613 | null | cond-mat.mes-hall | null | We study the two-particle wave function of paired atoms in a Fermi gas with
tunable interaction strengths controlled by Feshbach resonance. The Cooper pair
wave function is examined for its bosonic characters, which is quantified by
the correction of Bose enhancement factor associated with the creation and
annihilation composite particle operators. An example is given for a
three-dimensional uniform gas. Two definitions of Cooper pair wave function are
examined. One of which is chosen to reflect the off-diagonal long range order
(ODLRO). Another one corresponds to a pair projection of a BCS state. On the
side with negative scattering length, we found that paired atoms described by
ODLRO are more bosonic than the pair projected definition. It is also found
that at $(k_F a)^{-1} \ge 1$, both definitions give similar results, where more
than 90% of the atoms occupy the corresponding molecular condensates.
| [
{
"created": "Sat, 31 Mar 2007 04:24:59 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Pong",
"Y. H.",
""
],
[
"Law",
"C. K.",
""
]
] | 07 | [
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] | 5 |
0704.0007 | Alejandro Corichi | Alejandro Corichi, Tatjana Vukasinac and Jose A. Zapata | Polymer Quantum Mechanics and its Continuum Limit | 16 pages, no figures. Typos corrected to match published version | Phys.Rev.D76:044016,2007 | 10.1103/PhysRevD.76.044016 | IGPG-07/03-2 | gr-qc | null | A rather non-standard quantum representation of the canonical commutation
relations of quantum mechanics systems, known as the polymer representation has
gained some attention in recent years, due to its possible relation with Planck
scale physics. In particular, this approach has been followed in a symmetric
sector of loop quantum gravity known as loop quantum cosmology. Here we explore
different aspects of the relation between the ordinary Schroedinger theory and
the polymer description. The paper has two parts. In the first one, we derive
the polymer quantum mechanics starting from the ordinary Schroedinger theory
and show that the polymer description arises as an appropriate limit. In the
second part we consider the continuum limit of this theory, namely, the reverse
process in which one starts from the discrete theory and tries to recover back
the ordinary Schroedinger quantum mechanics. We consider several examples of
interest, including the harmonic oscillator, the free particle and a simple
cosmological model.
| [
{
"created": "Sat, 31 Mar 2007 04:27:22 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2007 22:42:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Corichi",
"Alejandro",
""
],
[
"Vukasinac",
"Tatjana",
""
],
[
"Zapata",
"Jose A.",
""
]
] | 07 | [
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] | 6 |
0704.0008 | Damian Swift | Damian C. Swift | Numerical solution of shock and ramp compression for general material
properties | Minor corrections | Journal of Applied Physics, vol 104, 073536 (2008) | 10.1063/1.2975338 | LA-UR-07-2051, LLNL-JRNL-410358 | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general formulation was developed to represent material models for
applications in dynamic loading. Numerical methods were devised to calculate
response to shock and ramp compression, and ramp decompression, generalizing
previous solutions for scalar equations of state. The numerical methods were
found to be flexible and robust, and matched analytic results to a high
accuracy. The basic ramp and shock solution methods were coupled to solve for
composite deformation paths, such as shock-induced impacts, and shock
interactions with a planar interface between different materials. These
calculations capture much of the physics of typical material dynamics
experiments, without requiring spatially-resolving simulations. Example
calculations were made of loading histories in metals, illustrating the effects
of plastic work on the temperatures induced in quasi-isentropic and
shock-release experiments, and the effect of a phase transition.
| [
{
"created": "Sat, 31 Mar 2007 04:47:20 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2008 08:42:28 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jul 2008 18:54:28 GMT",
"version": "v3"
}
] | 2009-02-05 | [
[
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""
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] | 7 |
0704.0009 | Paul Harvey | Paul Harvey, Bruno Merin, Tracy L. Huard, Luisa M. Rebull, Nicholas
Chapman, Neal J. Evans II, Philip C. Myers | The Spitzer c2d Survey of Large, Nearby, Insterstellar Clouds. IX. The
Serpens YSO Population As Observed With IRAC and MIPS | null | Astrophys.J.663:1149-1173,2007 | 10.1086/518646 | null | astro-ph | null | We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy
observations of the Serpens star-forming region. In particular we present a set
of criteria for isolating bona fide young stellar objects, YSO's, from the
extensive background contamination by extra-galactic objects. We then discuss
the properties of the resulting high confidence set of YSO's. We find 235 such
objects in the 0.85 deg^2 field that was covered with both IRAC and MIPS. An
additional set of 51 lower confidence YSO's outside this area is identified
from the MIPS data combined with 2MASS photometry. We describe two sets of
results, color-color diagrams to compare our observed source properties with
those of theoretical models for star/disk/envelope systems and our own modeling
of the subset of our objects that appear to be star+disks. These objects
exhibit a very wide range of disk properties, from many that can be fit with
actively accreting disks to some with both passive disks and even possibly
debris disks. We find that the luminosity function of YSO's in Serpens extends
down to at least a few x .001 Lsun or lower for an assumed distance of 260 pc.
The lower limit may be set by our inability to distinguish YSO's from
extra-galactic sources more than by the lack of YSO's at very low luminosities.
A spatial clustering analysis shows that the nominally less-evolved YSO's are
more highly clustered than the later stages and that the background
extra-galactic population can be fit by the same two-point correlation function
as seen in other extra-galactic studies. We also present a table of matches
between several previous infrared and X-ray studies of the Serpens YSO
population and our Spitzer data set.
| [
{
"created": "Mon, 2 Apr 2007 19:41:34 GMT",
"version": "v1"
}
] | 2010-03-18 | [
[
"Harvey",
"Paul",
""
],
[
"Merin",
"Bruno",
""
],
[
"Huard",
"Tracy L.",
""
],
[
"Rebull",
"Luisa M.",
""
],
[
"Chapman",
"Nicholas",
""
],
[
"Evans",
"Neal J.",
"II"
],
[
"Myers",
"Philip C.",
""
]
] | 07 | [
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] | 8 |
0704.0010 | Sergei Ovchinnikov | Sergei Ovchinnikov | Partial cubes: structures, characterizations, and constructions | 36 pages, 17 figures | null | null | null | math.CO | null | Partial cubes are isometric subgraphs of hypercubes. Structures on a graph
defined by means of semicubes, and Djokovi\'{c}'s and Winkler's relations play
an important role in the theory of partial cubes. These structures are employed
in the paper to characterize bipartite graphs and partial cubes of arbitrary
dimension. New characterizations are established and new proofs of some known
results are given.
The operations of Cartesian product and pasting, and expansion and
contraction processes are utilized in the paper to construct new partial cubes
from old ones. In particular, the isometric and lattice dimensions of finite
partial cubes obtained by means of these operations are calculated.
| [
{
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"version": "v1"
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[
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] | 9 |
0704.0011 | Clifton Cunningham | Clifton Cunningham and Lassina Dembele | Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via
the Jacquet-Langlands correspondence | 14 pages; title changed; to appear in Experimental Mathematics | null | null | null | math.NT math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present an algorithm for computing Hecke eigensystems of
Hilbert-Siegel cusp forms over real quadratic fields of narrow class number
one. We give some illustrative examples using the quadratic field
$\Q(\sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that
are possible lifts from Hilbert eigenforms.
| [
{
"created": "Sat, 31 Mar 2007 05:32:49 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Aug 2008 04:46:47 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Aug 2008 13:15:09 GMT",
"version": "v3"
}
] | 2008-08-20 | [
[
"Cunningham",
"Clifton",
""
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[
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""
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