The Differential Plunger and the Differential Decay Curve Method

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1、ZeitschriftfiJrPhysikAZ.Phys.AAtomicNuclei334,163-175(1989)AtomicNuclei9Springer-Verlag1989TheDifferentialPlungerandtheDifferentialDecayCurveMethodfortheAnalysisofRecoilDistanceDoppler-ShiftDataA.Dewald,S.Harissopulos,andP.vonBrentanoInstitutffirKernphy

2、sikderUniversit/itzuK61n,FederalRepublicofGermanyReceivedMarch20,1989;revisedversionJune2,1989AnewandtransparentmethodfortheanalysisofrecoildistanceDopplershiftdataispresented,whichwecallthedifferentialdecaycurvemethod(DDCM).TheDDCMcanbeusedforsinglesasw

3、ellasforcoincidenceplungerdataandsystematicerrorscanbediscoveredwithitmucheasierthanintheconventionalanalysis.Inadditionweproposeamodificationofthenormalplungerwhichwecallthedifferentialplunger.Withthedifferentialplungerinprincipleitispossibletodetermine

4、lifetimesfromquanti-tiesmeasuredatonlyonetargettostopperdistance.TheDDCMwastestedwithlifetimedatafortZ~and128Ba.NuclearReaction:11~3n)lZ~E=54.5MeV;recoilDopplershift;deducedz,enrichedtargets,GedetectorsPACS:23.20.CK;27.60.+j1.Introductionormoreparameters

5、describingthefeedinghistoryarenotwelldetermined,assimplycanhappenife.g.weTransitionprobabilitiesareofspecialinterestforourdealwithdoublets,onemayobtainunrealisticlife-understandingofnuclearstructurebecauseoftheirtimes.Fromsuchananalysisoneoftengetsnohint

6、sensitivitytothedetailsofnuclearwavefunctions.onasystematicerrorbecauseitisinmanycasespossi-Thereforelifetimemeasurementsareveryimportantbletofittheexperimentaldataverywellalthoughin7-spectroscopy.TherecoildistanceDopplershiftonehasmadeawrongfeedingassum

7、ption.(RDDS)methodhasbeenfrequentlyusedforthispur-Inthispaperwedevelopatransparentmethodposeformanyyears[1].Althoughtherearenoprob-whichwecallthedifferentialdecaycurve(DDCM)lemsofprincipleintheconventionalanalysisoffortheanalysisofRDDSdata,inwhichtheseto

8、fRDDSdataeveninthecasewhenalevelisfedbycoupleddifferentialequationsisreplacedforeachin-manytransitionsfromhigherlevels,ithasturnedoutdividuallevelbyasinglefirstorderdifferentialequa-thatinpracticetheconventionalanalysiscan