Search results for "Direct product"

showing 10 items of 35 documents

Cohomology and contraction: The “non-relativistic” limit revisited

1984

In this note we reconsider the transition from P⊗U(1) to the N extended Galilei group \(\tilde G\)(m),first discussed by Saletan. To this aim, we first analyse the relations between the groups G⊗U(1) and \(\tilde G\)c , where G is a Lie group of trivial H o 2 (G,U(1)) cohomology and \(\tilde G\)c is a central extension of Gc (obtained from G by contraction) by U(1).

Mathematical analysisLie groupConnection formContraction (operator theory)CohomologyDirect productMathematicsMathematical physics
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Large characteristically simple sections of finite groups

2021

In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorphic to a characteristically simple group A, then G has a normal section C/R that is the direct product of k minimal normal subgroups of G/R isomorphic to A. This is a significant extension of the notion of crown for isomorphic chief factors.

Normal subgroupAlgebra and Number TheoryGroup (mathematics)Applied MathematicsExtension (predicate logic)Characteristically simple groupCombinatoricsComputational MathematicsSection (category theory)Simple (abstract algebra)Geometry and TopologyMatemàticaAnalysisDirect productMathematics
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On the p-length of some finite p-soluble groups

2014

The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose $p$-length is greater than $1$, $p$ a prime number. Alternative proofs and improvements of recent results about the influence of minimal $p$-subgroups on the $p$-nilpotence and $p$-length of a finite group arise as consequences of our study

Normal subgroupSemidirect productFinite groupPure mathematicsClass (set theory)Direct summandGeneral MathematicsPrime numberGrups Teoria deMaximal subgroupMaximal subgroupNormal subgroupApplications of MathematicsTheoretical Mathematical and Computational PhysicsSemidirect productOrder (group theory)ÀlgebraAlgebra over a fieldFinite groupMATEMATICA APLICADAMathematics
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DirectX(3872)production ine+e−collisions

2014

Abstract Direct production of the charmonium-like state X ( 3872 ) in e + e − collisions is considered in the framework of the vector meson dominance model. An order-of-magnitude estimate for the width Γ ( X → e + e − ) is found to be ≳0.03 eV. The same approach applied to the χ c 1 charmonium decay predicts the corresponding width of the order 0.1 eV in agreement with earlier estimates. Experimental perspectives for the direct production of the 1 + + charmonia in e + e − collisions are briefly discussed.

Nuclear physicsPhysicsNuclear and High Energy PhysicsDirect productionHigh Energy Physics::ExperimentVector meson dominanceProduction (computer science)ElectronExotic hadronVector mesonNuclear theoryX(3872)Physics Letters B
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Direct production of χc1 at BESIII

2019

The production of resonances in electron-positron annihilation has only been observed for states with quantum numbers JPC = 1−−, while C = +1 resonances appear only among the decay products. The direct production of the 1++ states could happen through two-photon or neutral current. Due to the smallness of the production rate, this process has never been verified experimentally. With the high luminosity and good performance of the BESIII experiment, a search of the direct production of the 1++ state in charmonium region, χc1, is undergoing with dedicated data samples around the χc1 mass. An overview of the data analysis will be presented.

PhysicsAnnihilationNeutral current010308 nuclear & particles physicsPhysicsQC1-999Quantum number01 natural sciencesLuminosityNuclear physicsDirect production0103 physical sciencesHigh Energy Physics::Experiment010306 general physicsProduction rateEPJ Web of Conferences
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Recoilles and resonant production of double-pion atoms

1992

Abstract We exploit two ideas found successful in the direct production of pionic atoms: recoilless condition and resonance production, in order to produce atomic systems with two bound π − . As an example of recoilless reaction we study π − + A X → p ( A−1 X , π − , π − ) , and as an example of resonant reaction we study π − X → ( π − π − X′) → π − X. In both cases the signals are found to be only a small fraction of the background indicating the big experimental difficulties that one is facing in producing these states.

PhysicsNuclear and High Energy PhysicsDirect productionPionAtomic physicsResonance (chemistry)Nuclear Physics A
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A combined search for the standard model Higgs boson at s=1.96 TeV

2008

AbstractWe present new results of the search for WH→ℓνbb¯ production in pp¯ collisions at a center-of-mass energy of s=1.96 TeV, based on a dataset with integrated luminosity of 0.44 fb−1. We combine these new results with previously published searches by the D0 collaboration, for WH and ZH production analyzed in the E̸Tbb¯ final state, for ZH (→ℓ+ℓ−bb¯) production, for WH (→WWW) production, and for H (→WW) direct production. No signal-like excess is observed either in the WH analysis or in the combination of all D0 Higgs boson analyses. We set 95% C.L. (expected) upper limits on σ(pp¯→WH)×B(H→bb¯) ranging from 1.6 (2.2) pb to 1.9 (3.3) pb for Higgs boson masses between 105 and 145 GeV, to …

PhysicsNuclear and High Energy PhysicsParticle physicsLuminosity (scattering theory)010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyState (functional analysis)7. Clean energy01 natural sciencesStandard ModelNuclear physicsDirect production0103 physical sciencesHiggs bosonHigh Energy Physics::ExperimentCenter of massNeutrino010306 general physicsLeptonPhysics Letters B
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DIRECT PRODUCTION OF PIONIC ATOMS FROM RADIATIVE TRAPPING OF PIONS IN FLIGHT

1992

Abstract The reaction π−A→(πb−A)γ with Tπ=10−30 MeV producing a π− bound in the nucleus is studied to see its viability as an instrument to produce deeply bound pionic atoms in nuclei. We obtain cross sections of the order of tens of μb/ (sr MeV) for the production of the 1s and 2p states of 208Pb and negligible background from radiative pion capture and the other sources. The negligible background expected in the present reaction is unique among all other reactions so far proposed. The cross sections obtained are three orders of magnitude bigger than those in the best electromagnetic reactions previously proposed. The small background, the large cross sections and the present available flu…

PhysicsNuclear and High Energy PhysicsResolution (electron density)Nuclear TheoryTrappingNuclear physicsDirect productionPionmedicine.anatomical_structureLow energyOrders of magnitude (time)Radiative transfermedicineAtomic physicsNuclear ExperimentNucleus
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Model building by coset space dimensional reduction in ten dimensions with direct product gauge symmetry

2009

14 pages.-- ISI article identifier:000264762400083.-- ArXiv pre-print avaible at:http://arxiv.org/abs/0812.0910

PhysicsNuclear and High Energy PhysicsScalar (mathematics)High Energy Physics::PhenomenologyYukawa potentialLie groupFOS: Physical sciencesCombinatoricsHigh Energy Physics::TheoryHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Gauge groupQuantum electrodynamicsCosetGauge theoryDirect productGauge symmetry
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A star product in lattice gauge theory

1993

Abstract We consider a variant of the cup product of simplicial cochains and its applications in discrete formulations of non-abelian gauge theory. The standard geometrical ingredients in the continuum theory all have natural analogues on a simplicial complex when this star product is used to translate the wedge product of differential forms. Although the star product is non-associative, it is graded-commutative, and the coboundary operator acts as a deviation on the star algebra. As such, it is reminiscent of the star product considered in some approaches to closed string field theory, and we discuss applications to the three dimensional non-abelian Chern-Simons theory.

PhysicsNuclear and High Energy PhysicsTheoretical physicsSimplicial complexDifferential formStar productCup productProduct (mathematics)Quantum mechanicsString field theoryExterior algebraGeneral Theoretical PhysicsDirect productPhysics Letters B
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