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1、StructureofResonanceandContinuumStatesHokkaidoUniversityUnboundNucleiWorkshopPisa,Nov.3-5,20081.ResolutionofIdentityinComplexScalingMethodContinuumst.SpectrumofHamiltonianBoundst.Resonantst.RR.G.Newton,J.Math.Phys.1(1960),319CompletenessRelation(ResolutionofIdentity)N
2、on-Resonantst.Amongthecontinuumstates,resonantstatesareconsideredasanextensionofboundstatesbecausetheyresultfromcorrelationsandinteractions.Fromthispointofview,Berggrensaid“Inthepresentpaper,*)weinvestigatetheproperties**)ofresonantstatesandfindtheminmanywaysquiteanal
3、ogoustothoseoftheordinaryboundstates.”*)NPA109(1968),265. **)orthogonalityandcompletenessSeparationofresonantstatesfromcontinuumstatesDeformationofthecontourResonantstatesYa.B.Zel’dovich,Sov.Phys.JETP12,542(1961).N.Hokkyo,Prog.Theor.Phys.33,1116(1965).ConvergenceFacto
4、rMethodMatrixelementsofresonantstatesT.Berggren,Nucl.Phys.A109,265(1968)DeformedcontinuumstatesComplexscalingmethodcoordinate:momentum:rB.GyarmatiandT.Vertse,Nucl.Phys.A160,523(1971).reiθT.Myo,A.OhnishiandK.Kato.Prog.Theor.Phys.99(1998)801]inclinationofthesemi-circlek
5、kEESingleChannelsystemb1b2b3r1r2r3CoupledChannelsystemThree-bodysystemE
6、E
7、B.Giraud,K.KatoandA.Ohnishi,J.ofPhys.A37(2004),11575B.GiraudandK.Kato,Ann.ofPhys.308(2003),115.ResolutionofIdentityinComplexScalingMethod(Complexscaled)Structuresofthree-bodycontinuumstates0+1－P
8、hysicalImportanceofResonantStatesM.Homma,T.MyoandK.Kato,Prog.Theor.Phys.97(1997),561.red:0+blue:1-B.S.R.S.ContributionsfromB.S.andR.S.totheSumrulevalueSexc=1.5e2fm2MeVKiyoshiKato(A)ClusterOrbitalShellModel(COSM)Y.SuzukiandK.Ikeda,Phys.Rev.C38(1988),410Core+XnsystemThe
9、totalHamiltonian:whereHC:theHamiltonianofthecoreclusterACUi:theinteractionbetweenthecoreandthevalenceneutron(Foldingpot.)vij:theinteractionbetweenthevalenceneutrons (Minnesotaforce,Av8,…)X２．ComplexScaledCOSMwhichhasapeakinaregion:Thetwo-neutrondistance:(B)ExtendedClus
10、terModelーT-typecoordinatesystemーThedi-neutronlikecorrelationbetweenvalenceneutronsmovinginthespatiallywideregionY.Tosaka,YSu
