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1、QCDCriticalPointinaQuasiparticleModelP.K.Srivastava,S.K.Tiwari,andC.P.Singh∗DepartmentofPhysics,BanarasHinduUniversity,Varanasi221005,INDIAAbstractRecenttheoreticalinvestigationshaveunveiledarichstructureinthequantumchromodynamics(QCD)phasediagramwhichconsistsofquarkgluonplasma(QGP)andthehadronicpha
2、sesbutalsosupportstheexistenceofacross-overtransitionendingatacriticalendpoint(CEP).WefindatoolargevariationindeterminationofthecoordinatesoftheCEPinthetemperature(T),baryonchemicalpotential(µB)planeand,therefore,itsidentificationinthecurrentheavy-ionexperimentsbecomesdebatable.Hereweuseanequationofst
3、ate(EOS)foradeconfinedQGPusingathermodynamicallyconsistentquasiparticlemodelinvolvingquarksandgluonshavingthermalmasses.Wefurtheruseathermodynamicallyconsistentexcludedvolumemodelforthehadrongas(HG)whichwasrecentlyproposedbyus.Usingtheseequationsofstate,afirstorderdeconfiningphasetransitionisconstructe
4、dusingGibbs’criteria.Thisleadstoaninterestingfindingthatthephasetransitionlineendsatacriticalpoint(CEP)beyondwhichacross-overregionexists.UsingourthermalHGmodel,weobtainachemicalfreezeoutcurveandwefindthattheCEPliesincloseproximitytothiscurveasproposedbysomeauthors.ThecoordinatesofCEParefoundtoliewith
5、inthereachofRHICexperiment.arXiv:1002.4780v2[hep-ph]3May2010PACSnumbers:12.38.Mh,12.38.Gc,25.75.Nq,24.10.Pa∗correspondingauthor:cpsinghbhu@yahoo.co.in−I.INTRODUCTIONQCD,thenon-abeliangaugetheoryofstronginteraction,predictsaphasetransitionbe-tweenahotanddensehadrongas(HG)andthequark-gluondominatedpha
6、sewhichiscalledasquarkgluonplasma(QGP)[1,2].However,evenafteranintensiveexperimentalaswellastheoreticalresearchspreadingoverthelasttwodecades,ourknowledgeregardingthepropertiesandsignalsofQGPisstillverylimited[3,4].Eventhephaseboundarybetweenthetwophasesremainsintheliteratureasaconjecturedonebecause
7、thenon-perturbativeaspectsofQCDarestilldominantneartheregionclosetothephasetransition.InordertotesttheappearanceofadeconfinedQGPwhichexistsinatransientphase,weneedaproperunderstandingofitssubsequenthad