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1、NuclearCollectiveExcitationinaFemi-LiquidModelBao-XiSUNBeijingUniversityofTechnology2012.06.15KITPC,BeijingContentFermi-liquidModelbasedonLandauTheory.RelationbetweenisoscalargiantresonanceandisovectorgiantresonanceCollectiveexcitationinnuclearmatterCollectiveexcitationinfinit
2、enucleiConclusionFermi-liquidModelbasedonLandauTheoryXiao-GangWen,Quantumfieldtheoryofmany-bodysystems,OxfordUniversityPress,Oxford,2004.BoltzmannEquationofquasi-nucleonsBoltzmannequationofnucleonswhereDensityofquasi-nucleonsThequasi-nucleondensityneartheFermi-surface:withVibr
3、ationsofFermisurfaceLinearizedliquidequationofmotioninthemomentumspacewithandPotentialbetweennucleonsinthelinearWaleckamodelFermiliquidfunctionFermiliquidfunctionwithandFermienergyandFermivelocityC.J.HorowitzandB.D.Serot,Nucl.Phys.A368(1981)503Thequasi-nucleondensitycanbeexpan
4、dedinsphericalharmonics:LiquidequationofmotioninsphericalharmonicsThestabilityoftheFermiliquidrequiresthediagonalmatrixelementsofMmustbepositivedefinite,andwecanwriteMasM=WWT.LettingEigen-energyequationforthenuclearcollectiveexcitationwiththeHamiltonianandEigenvaluesoftheHamil
5、tonianSincethenucleonnearFermi-surfaceiseasiertobeexcited,inthefollowingcalculation,wesetthevalueofnucleonmomentumCollectiveexcitationenergyEl.vs.effectivemassM*N.L=0,Dash;L=1,Solid;L=2,Dot.CollectiveexcitationRelationbetweenisoscalarandisovectorgiantresonancesThenuclearisovec
6、torgiantresonancescorrespondtothenuclearcollectiveexcitationthatthecollectiveexcitationofprotonsiscreatingwiththeenergyES(l),whilethecollectiveexcitationofneutronsisannihilatingwiththeenergyES(l),andviceversa.RelationbetweenisoscalarandisovectorgiantresonancesTheenergyofthenuc
7、learisovectorgiantresonanceisabouttwiceofthecorrespondingisoscalargiantresonanceinthenuclearmatter,i.e.,GiantresonancesoffinitenucleiTheprotonandneutrondensitiescanbewrittenapproximatelyGiantmonopoleresonancesoffinitenucleiL=0M*/ME0(p)E0(n)E0(p)+E0(n)ESEVPb2080.74216.287.0523.
8、3314.17+-0.2826.0+-3.0Sm1440.74215.269.0024.2615.39+-0.28_Sn1
