简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.
简介:Therelativisticproblemofspin-1/2fermionssubjecttovectorhyperbolic(kink-like)potential(~tanhkx)isinvestigatedbyusingtheparametricNikiforov-Uvarovmethod.TheenergyeigenvalueequationandthecorrespondingnormalizedwavefunctionsareobtainedintermsoftheJacobipolynomialsintwocases.
简介:Onassumingthatweaksubstructurehasadynamicswhichissimilartoquantumchromodynamicsbutmuchstronger,weconcludethatunquenchingisindispensableforpredictionsonthespectrumofweak-substructureresonances[1].
简介:Wereportonanunexplainedhighstatisticssignalthatmayindicatetheexistenceofasuperlightscalarboson[1].Thequestionwhetherthereexistsa(scalar)bosonwithamassofabout38MeVdoesnotdependexclusivelyontheexistenceofaresonance-likestructure(Fig.1)intheexperimentaldataofRef.[2],yetitisatpresenttheclearestsignalwehavefoundinmanyexperiments.
简介:Wecommunicatemanydifficultiesthatweencounterwhenattemptingtopinpointacommonoriginfortheseveralobservedanomalies[1;2]orassessingtheirtensionwithexistingexclusionlimits.Theseincludesystematicsaffectingtheoperationofthedetectors,ourknowledgeoftheirresponse,astrophysicaluncertainties,andthebroadrangeofparticlecouplingsthatcanmediatetheinteractionwithadetectortarget.Theinterestingastrophysicalevidence[2]thatmotivatesasearchfordark-photonandfocusesourattentiononaHiddenValleysmodelwithaGeV-scaledarksectorthatproducesexcitingsignatures.Resultsfromtherecentundergroundexperiments[1]arealsoconsidered.
简介:Usingbi-spinorfieldswewritethepseudo-scalarandbi-spinorfieldsthatarecharacterizedbythefieldfunctionsofcoordinatesofseveralparticles,namelymulti-particlefields.Byapplyingthequantizationproceduretothesemulti-particlefields,hadroniccreationandannihilationoperatorshavebeenobtained.
简介:AcarefulanalysisoftheAME2012[1]databaseintheframeworkoftheinverseproblemsusingthedynamicautoregularizationmethodor,moreprecisely,theREGNprogram[2],whichistheconstructivedevelopmentoftheTikhonovregularizationmethod[3],revealsphenomenologicalfunctionalfeaturesofpreviouslyunknownparametersoftheBethe-Weizs¨acker(BW)massformula.
简介:Veryrecently,theBelleandBESIIIexperimentsobservedanewcharmonium-likestateX(3823),whichisagoodcandidatefortheD-wavecharmonium(13D2).BecausetheX(3823)isjustneartheDˉDthreshold,thedecayX(3823)!J=+??canbeagoldenchanneltotestthesignificanceofcoupled-channeleffects.Inthiswork[1],thisdecayisconsideredincludingboththehidden-charmdipionandtheusualquantumchromodynamicsmultipoleexpansion(QCDME)contributions.
简介:UsingthestandardtruncatedPainlevexpansion,theresidualsymmetryofthe(2+1)-dimensionalmodifieddispersivewater-wavesystemislocalizedintheproperlyprolongedsystemwiththeLiepointsymmetryvector.Somedifferenttransformationinvariancesarederivedbyutilizingtheobtainedsymmetries.ThesymmetriesofthesystemarealsoderivedthroughtheClarkson-Kruskaldirectmethod,andseveraltypesofexplicitreductionsolutionsrelatetothetrigonometricorthehyperbolicfunctionsareobtained.Finally,somespecialsolitonsaredepictedfromoneofthesolutions.
简介:Thermodynamicpropertiesandphasediagramsofamixedspin-(1,2)Isingferrimagneticsystemwithsingleionanisotropyonhexagonalnanowirearestudiedbyusingeffective-fieldtheorywithcorrelations.Thesusceptibility,internalenergyandspecificheatofthesystemarenumericallyexaminedandsomeinterestingphenomenainthesequantitiesarefound.TheeffectoftheHamiltonianparametersonphasediagramsareexaminedindetail.Besidessecond-orderphasetransition,linesoffirst-ordertransitionandtricriticalpointsarefound.Inparticular,wefoundthatforsomenegativevaluesofsingle-ionanisotropies,thereexistfirst-orderphasetransitions.
简介:Inthispaper,weshowthatnewmodifieddoublecosinetrigonometricsumsintroducedin[1]areinappropriate,theclassofdoublesequencesJdintroducedthereisunusableforsuchsumsandconsequentlytheresultsobtainedinitarecompletelyincorrect.WehereintroduceappropriatemodifieddoublecosinetrigonometricsumsmakingtheclassJdusableconsideringaparticulardoublecosinetrigonometricseries.
简介:TheenigmaticchargedstatesZc(3900),Zc(4020),Zc(4050),Zb(10610),andZb(10650)arestudiedwithinacoupled-channelSchr¨odingermodel[1],whereradiallyexcitedquark-antiquark(qˉq)pairs,withthesameangularmomentaandisospinasthea1(1260)andb1(1235),arestronglycoupledtotheirOkubo-Zweig-Iizuka-allowedde-caychannelsDˉD+ˉDDandDˉD,orBˉB+ˉBBandBˉB,inSandD-wave.Poles,matchingtheexperimentalmassandwidthofalltheabovestates,arefoundbyvaryingonlytwofreeparameters.In
简介:Weproposeandexperimentallydemonstratecompacton-chip1×2wavelengthselectiveswitches(WSSs)basedonsiliconmicroringresonators(MRRs)withnestedpairsofsubrings(NPSs).OwingtotheresonancesplittinginducedbytheinnerNPSs,theproposeddevicesarecapableofperformingselectivechannelroutingatcertainresonancewavelengthsoftheouterMRRs.SystemdemonstrationofdynamicchannelroutingusingfabricateddeviceswithoneandtwoNPSsiscarriedoutfor10Gb∕snon-return-to-zerosignal.Theexperimentalresultsverifytheeffectivenessofthefabricateddevicesascompacton-chipWSSs.