Search results for "Root"

showing 10 items of 1237 documents

Analysis of the rovibrational spectrum of 13CH4 in the Octad range

2013

Abstract We have measured the infrared spectrum of methane 13 CH 4 from 1100 cm −1 (33 THz), below the fundamental range, to about 12 000 cm −1 (360 THz) in the high overtone region at temperatures ranging from 80 K to 300 K by high resolution Fourier transform infrared (FTIR) spectroscopy. With instrumental bandwidths between 0.0027 cm −1 (80 MHz) and 0.01 cm −1 (300 MHz) this provides close to Doppler-limited spectra, using the Zurich prototype spectrometer (ZP2001, Bruker 125HR) combined with a multipath collisional cooling cell. Using perturbation theory and an accurate empirically adjusted potential we have computed ro-vibrational energy levels of 13 CH 4 and 12 CH 4 in the same energy…

Physics010304 chemical physicsSpectrometerInfraredOvertone02 engineering and technologyRotational–vibrational spectroscopy021001 nanoscience & nanotechnology7. Clean energy01 natural sciencesAtomic and Molecular Physics and OpticsSpectral lineComputational physicsRoot mean squaresymbols.namesakeNuclear magnetic resonanceFourier transform0103 physical sciencessymbolsPhysical and Theoretical Chemistry0210 nano-technologySpectroscopySpectroscopyJournal of Molecular Spectroscopy
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Observation of e+e−→ϕχc1 and ϕχc2 at s=4.600  GeV

2018

Using a data sample collected with the BESIII detector operating at the BEPCII storage ring at a center-of-mass energy of root s = 4.600 GeV, we search for the production of e(+)e(-) -> phi chi( ...

Physics010308 nuclear & particles physicsBranching fractionElectron–positron annihilationDetectorRoot (chord)01 natural sciencesNuclear physics0103 physical sciencesHigh Energy Physics::ExperimentBorn approximation010306 general physicsEnergy (signal processing)Storage ringPhysical Review D
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Geometrical foundations of fractional supersymmetry

1997

A deformed $q$-calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this algebra, and the whole structure is related to the algebra of a $q$-deformed boson. The limit of this algebra when $q$ is a $n$-th root of unity is also studied in detail. By means of a chain rule expansion, the left and right derivatives are identified with the charge $Q$ and covariant derivative $D$ encountered in ordinary/fractional supersymmetry and this leads to new results for these operators. A generalized Berezin integral and fractional superspace measure arise as a natural part of our formalism. When $q$…

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsBerezin integralRoot of unityAlgebraic structureFOS: Physical sciencesAstronomy and AstrophysicsSuperspaceAtomic and Molecular Physics and OpticsCovariant derivativeFractional supersymmetryOperator (computer programming)High Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)nth rootMathematical physics
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Configurational entropy of microemulsions : The fundamental length scale

1993

Phenomenological models have been quite successful in characterizing both the various complex phases and the corresponding phase diagrams of microemulsions. In some approaches, e.g., the random mixing model (RMM), the lattice parameter is of the order of the dimension of an oil or water domain and has been used as a length scale for computing a configurational entropy, the so‐called entropy of mixing, of the microemulsion. In the central and material section of this paper (Sec. III), we show that the fundamental length scale for the calculation of the entropy of mixing is of the order of the cube root of the volume per molecule—orders of magnitude smaller than the dimension of such a domain…

PhysicsLength scalePhase StudiesEntropyConfiguration entropyGeneral Physics and AstronomyThermodynamicsEntropy of mixingMicroemulsions ; Entropy ; Phase Diagrams ; Lattice Parameters ; Dispersions ; Phase StudiesUNESCO::FÍSICA::Química físicaPhase spacePhenomenological modelMicroemulsionsLattice ParametersStatistical physicsConfiguration spacePhase DiagramsPhysical and Theoretical ChemistryEntropy (energy dispersal)Dispersions:FÍSICA::Química física [UNESCO]Cube root
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Measurement of theZZProduction Cross Section and Limits on Anomalous Neutral Triple Gauge Couplings in Proton-Proton Collisions ats=7  TeVwith the AT…

2012

A measurement of the ZZ production cross section in proton-proton collisions at root s = 7 TeV using data corresponding to an integrated luminosity of 1.02 fb(-1) recorded by the ATLAS experiment a ...

PhysicsLuminosity (scattering theory)Proton010308 nuclear & particles physicsAstrophysics::High Energy Astrophysical PhenomenaATLAS experimentRoot (chord)General Physics and AstronomyGauge (firearms)01 natural sciencesNuclear physicsCross section (physics)medicine.anatomical_structureAtlas (anatomy)Phase space0103 physical sciencesmedicinePhysics::Accelerator PhysicsHigh Energy Physics::ExperimentNuclear Experiment010306 general physicsPhysical Review Letters
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Charge Radii of Hyperons

1994

The momentum projected SU(3) Chiral Color Dielectric Model (CCDM) is employed to calculate the charge root mean square radii and charge distributions of hyperons. We compare our result with Skyrme, MIT bag and Cloudy Bag model results. The charge distribution of $\Lambda$ in CCDM is similar to that of Skyrme Model prediction.

PhysicsNuclear and High Energy PhysicsNuclear TheoryModel predictionHigh Energy Physics::PhenomenologyNuclear TheoryHyperonGeneral Physics and AstronomyCharge densityFOS: Physical sciencesAstronomy and AstrophysicsCharge (physics)DielectricMomentumRoot mean squareNuclear Theory (nucl-th)Quantum electrodynamicsChiral color
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Analytic results for planar three-loop integrals for massive form factors

2016

We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general $q^2$ are expressed in terms of multiple polylogarithms, and results for fiftyone master integrals at the threshold $q^2=4m^2$ are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.

PhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsRoot of unityDifferential equationFeynman integralPhysicsZero (complex analysis)Form factor (quantum field theory)FOS: Physical sciences01 natural sciencesLoop (topology)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PlanarPerturbative QCD0103 physical sciencesddc:530Scattering Amplitudes010306 general physicsMathematical physicsJournal of High Energy Physics
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Discriminating between lepton number violating scalars using events with four and three charged leptons at the LHC

2013

Many Standard Model extensions predict doubly-charged scalars; in particular, all models with resonances in charged lepton-pair channels with non-vanishing lepton number; if these are pair produced at the LHC, the observation of their decay into l(-/+)l(-/+)W(-/+)W(-/+) will be necessary in order to establish their lepton-number violating character, which is generally not straightforward. Nonetheless, the analysis of events containing four charged leptons (including scalar decays into one or two taus as well as into W bosons) makes it possible to determine whether the doubly-charged excitation belongs to a multiplet with weak isospin T = 0,1/2,1,3/2 or 2 (assuming there are no excitations w…

PhysicsNuclear and High Energy PhysicsParticle physicsLarge Hadron ColliderWeak isospinPhysics beyond the Standard ModelAtlas detectorScalar (mathematics)High Energy Physics::PhenomenologyFOS: Physical sciencesFísicaLepton numberLeptonNuclear physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::ExperimentMultipletRoot-s=7 tevHadron collidersLeptonBoson
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Centrality dependence ofπ,K, andpproduction in Pb-Pb collisions atsNN=2.76TeV

2013

In this paper measurements are presented of pi(+/-), K-+/-, p, and (p) over bar production at midrapidity (vertical bar y vertical bar < 0.5), in Pb-Pb collisions at root s(NN) = 2.76 TeV as a function of centrality. The measurement covers the transverse-momentum (p(T)) range from 100, 200, and 300 MeV/c up to 3, 3, and 4.6 GeV/c for pi, K, and p, respectively. The measured p(T) distributions and yields are compared to expectations based on hydrodynamic, thermal and recombination models. The spectral shapes of central collisions show a stronger radial flow than measured at lower energies, which can be described in hydrodynamic models. In peripheral collisions, the p(T) distributions are not…

PhysicsNuclear and High Energy PhysicsRange (particle radiation)Proton010308 nuclear & particles physicsRoot (chord)01 natural sciences7. Clean energyNuclear physicsPionYield (chemistry)0103 physical sciencesQuark–gluon plasmaPiNuclear Experiment010306 general physicsBar (unit)Physical Review C
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Search for Resonant and Nonresonant Higgs Boson Pair Production in the bb¯τ+τ− Decay Channel in pp Collisions at s=13  TeV with the ATLAS Detector

2018

A search for resonant and nonresonant pair production of Higgs bosons in the b (b) over bar tau(+)tau(-) final state is presented. The search uses 36.1 fb(-1) of pp collision data with root s = 13 ...

PhysicsParticle physicsPhoton010308 nuclear & particles physicsBar (music)High Energy Physics::PhenomenologyATLAS experimentRoot (chord)General Physics and Astronomy01 natural sciencesmedicine.anatomical_structurePair productionAtlas (anatomy)0103 physical sciencesHiggs bosonmedicine010306 general physicsBosonPhysical Review Letters
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