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Physics
Letters
B
www.elsevier.com/locate/physletb
First
measurement
of
the
isoscalar
excitation
above
the
neutron
emission
threshold
of
the
Pygmy
Dipole
Resonance
in
68
Ni
N.S. Martorana
a,
b,
∗
,
G. Cardella
c,
E.G. Lanza
c,
L. Acosta
d,
c,
M.V. Andrés
e,
L. Auditore
f,
c,
F. Catara
c,
E. De Filippo
c,
S. De Luca
f,
c,
D. Dell’ Aquila
g,
B. Gnoffo
b,
c,
G. Lanzalone
h,
a,
I. Lombardo
c,
C. Maiolino
a,
S. Norella
f,
c,
A. Pagano
c,
E.V. Pagano
a,
M. Papa
c,
S. Pirrone
c,
G. Politi
b,
c,
L. Quattrocchi
c,
F. Rizzo
a,
b,
P. Russotto
a,
D. Santonocito
a,
A. Trifirò
f,
c,
M. Trimarchi
f,
c,
M. Vigilante
g,
A. Vitturi
i aINFN-LNS,Catania,ItalybDipartimentodiFisicaeAstronomia,UniversitàdegliStudidiCatania,Catania,Italy cINFN-SezionediCatania,Catania,Italy
dInstitutodeFisica,UniversidadNacionalAutonomadeMexico,MexicoCity,Mexico eDepartamentodeFAMN,UniversidaddeSevilla,Sevilla,Spain
fDipartimentoMIFT,Messina,Italy
gINFN-SezionediNapoliandDipartimentodiFisica,UniversitàdiNapoliFedericoII,Napoli,Italy hFacoltàdiIngegneriaeArchitettura,UniversitàKore,Enna,Italy
iDipartimentodiFisicaeAstronomia,UniversitàG.GalileiandINFN-SezionediPadova,Padova,Italy
a
r
t
i
c
l
e
i
n
f
o
a
b
s
t
r
a
c
t
Articlehistory:
Received23January2018
Receivedinrevisedform7May2018 Accepted8May2018
Availableonline16May2018 Editor:V.Metag
Keywords:
PygmyDipoleResonance Unstablenuclei Isoscalarprobe
The excitation of the Pygmy Dipole Resonance (PDR) in the 68Ni nucleus, above the neutron emission threshold, via an isoscalar probe has been observed for the first time. The excitation has been produced in reactions where a 68Ni beam, obtained by the fragmentation of a 70Zn primary beam at INFN-LNS, impinged on a 12C target. The
γ
-ray decay was detected using the CsI(Tl) detectors of the CHIMERA multidetector sphere. The 68Ni isotope as well as other heavy ion fragments were detected using the FARCOS array. The population of the PDR was evidenced by comparing the detectedγ
-ray energy spectra with statistical code calculations. The isotopic resolution of the detection system allows also to directly compare neutron decay channels with the 68Ni channel, better evidencing the PDR decay response function. This comparison allows also the extraction of the PDR cross section and the relativeγ
-ray angular distribution. The measuredγ
-ray angular distribution confirms the E1 character of the transition. Theγ
decay cross section for the excitation of the PDR was measured to be 0.32 mb with a 18% of statistical error.©2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
1. Introduction
Recently,muchrelevancehasbeengiventothecollectivestates in neutron-rich nuclei. The remarkable interest inthese statesis alsodrivenby thepresenceofan electricdipole responsearound thenucleonbindingenergy[1–3].Thismode,theso-calledPygmy DipoleResonance (PDR),although iscarryingfew percentofthe isovectordipoleEnergyWeightedSumRule(EWSR),hasbeen pre-dictedtobepresentinallthenucleiwithneutronexcess;in
par-*
Correspondingauthorat:UniversitàdegliStudidiCataniaandINFN-LNS,Via SantaSofia,62,Catania,Italy.E-mailaddress:martorana@lns.infn.it(N.S. Martorana).
ticular forthose farfrom thestability line. Ina pioneeringwork [4],ithasbeenshownthat,assoonasthenumberofneutrons in-creases,theisovectorandisoscalardipole responsesshowasmall bump at low energy in the strength distribution, which is well
separated from the well known peak of the Giant Dipole
Reso-nance(GDR).Thismode hasa strongrelationwiththe symmetry energyandithasbeenusedasafurthertooltoconstrainit[5,6]. Furthermore,thePDRmighthaveabiginfluenceonthe astrophys-icalr-processnucleo-synthesis,sincethepresenceofanevensmall dipolestrengtharoundtheneutronseparationenergystrongly en-hancestheneutroncapturecrosssections[7–9].
Assuming that a nucleus witha neutron excess is formed by a saturatedcore, withthe samenumberofneutronsandprotons,
https://doi.org/10.1016/j.physletb.2018.05.019
0370-2693/©2018TheAuthors.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).Fundedby SCOAP3.
andaneutronskin,thePDRcanbeconsideredasasurface mode associatedwiththe motionofthe neutronskin againstthe satu-ratedcore. Severalmicroscopic many body models [1,10–16] are abletodescribe the low-lyingdipole strength, andtheyall agree onthepropertiesofthetransitiondensities:theneutronsand pro-tonstransitiondensitiesareinphaseinsidethenucleusbutatthe surfacejusttheneutronpart,withoppositephase,survives.These propertiesgiverisetoatransitiondensitywheretheisovectorand isoscalarcharacteraremixed,andthereforethismodecanbe pop-ulatedbybothisoscalarandisovectorprobes[15].
Several experiments have been performed on stable nuclei
[1–3].Thecomparisonbetweentheexcitationoftheselow dipole statesinducedbyeitheralphaparticles,17Onucleiorrealphotons
revealsaparticularpropertywhichisknownas“isospinsplitting” [2,3,17–25]:only the low energy region ofthe PDR ispopulated bybothisoscalarandisovectorprobes,whilethehigherpartis ex-citedmainlyviaelectromagneticinteraction.Thissharpseparation of pure isovector and mixed isoscalar-isovector states, in a very limitedenergy range, has to be better understood and it is cur-rentlya topicof interest [26,27]. Until now the isospin splitting hasbeenobserved foralmost all thestable nucleianalyzed.It is interesting toinvestigatewhetherthe sameeffect ispresentalso forthe PDRregionabove theneutronemission thresholdandfor unstablenuclei. The experimental studyofthe PDRatan energy above the neutron emission threshold, withunstable nuclei, has beendoneinpioneeringexperiments,carriedoutattheGSI,using relativisticCoulombexcitationson132Sn[28] and68Ni[29,30]
iso-topes.ThepresenceofthePDRinunstablenucleiwasinvestigated usingrelativisticCoulombexcitationsalsoinrefs. [31–33].
In this work, we report on the first observation of the PDR, abovethe neutronemission threshold,in the68Ninucleus, using anisoscalarprobe,obtainedinanexperimentcarriedoutat INFN-LNS of Catania.In order to excite the PDR we used an isoscalar targetof12C.Semiclassicalcalculations,basedonmicroscopicform factorbuiltwithmicroscopicRPAtransitiondensities[14–16] show that,attheenergyused(28 A MeV),mostofthetotalinelasticPDR crosssection(more than60%)isduetothepure nuclear interac-tion.TheCoulombcontributionamountsat9%,whileanother30% isgivenbytheinterferencebetweennuclearandCoulomb contri-butions.Such calculationshavebeendone accordingto the semi-classical model described in [13–15], where the real part of the optical potential hasbeen obtainedby thedouble folding proce-dure,whiletheimaginaryparthasbeenchosentohavethesame geometryofthe realpartwithhalfofits intensity.Thisisa kind ofstandardprocedurewhenonehasnoexperimentalinformation abouttheelasticscatteringcrosssection.
2. Experiment
In Fig. 1 a sketch not to scale of the experimental apparatus ispresented.A 70Zn primary beamwas acceleratedtoan energy of 40 A MeV, using the Superconducting Cyclotron (CS), and it impinged on a 250 μm thick 9Be target to produce, with a
pro-jectile fragmentation reaction, the 68Ni beam, delivered via the FRIBs@LNS fragment separator of the INFN-LNS [34,35]. In such a facility,a taggingsystem was used in order to eventby event characterizethecocktailbeam[36].AlargesurfaceMicro-Channel Plate(MCP)givesthestart oftheTimeofFlight(ToF)measurement ofthe beam. The stop of the ToFis delivered by a Double-Sided SiliconStripDetector (DSSSD),with32
×
32 strips2mm width,and156 μm thick, placed at about 12.9m from the MCP, along
thetransport beamline, approximately 2m before the12C
reac-tiontarget. The DSSSD provides alsothe energy lossinformation forthe
E–ToF identification method,moreover the DSSSD pro-ducesalsothefirst informationonthebeampositiontomeasure
Fig. 1. Sketch, not to scale, of the used experimental set up (color online).
Fig. 2. a)
E–EscatterplotobservedwiththeFARCOSarrayirradiatedbythe re-actionsproductsproducedwiththe wholecocktailfragmentationbeam.Isotopic identificationoffragmentswithZfrom27to30isobserved.Intheinsetthe
E– ToFidentificationscatterplotofthecocktailbeamisreported.b)Reactionproducts detectedwiththe FARCOSarrayincoincidencewith 68Niions,asshown inthe blackcircleintheinsetofFig.2a(coloronline).
thetrajectory.Thesecond positioninformationwasprovidedbya ParallelPlateAvalanche Counter(PPAC)device, mountedatabout 80cmfromthetarget,andhaving1mmspatial resolution.A12C target, 75 μm thick, was used to induce the isoscalar excitation on the projectile nucleus. The scattered 68Ni ions were detected and identified in four prototype telescopes of the FARCOS array [37,38].During theexperimenttheFARCOS array was placedjust afterthesphereoftheCHIMERAmultidetector[39,40] andit cov-ered angles from 2◦ to 7◦, with approximately 70% coverage of azimuthal angles.TheFARCOSmodules aretripletelescopes,each
of them constituted by two stages of DSSSD 300 and 1500 μm
thick, followedby fourCsI(Tl)scintillatorsread bya photo-diode.
68Ni scatteredionswere stoppedinthe secondstage ofthe
tele-scopes.
3. Analysisandresults
Asabove mentioned,we usedthetaggingsystemtogetevent byeventtheisotopiccompositionoftheexoticbeam.Intheinset ofFig.2aisreportedthe
E–ToF plotobtainedwiththistagging system.The 68Nibeam, evidencedbytheblackcircle,isthemost
intensebeaminthecocktail(about20%ofthetotalintensity).The beamenergy,aftertheDSSSDdetector,isabout28 A MeV.Atthis beamenergytheionidentificationisdifficultbecauseofthe pres-enceofnotfullystrippedionsproduced afterthe9Be target.Just
the 92% of the incomingZn beam is totally stripped,more than the7% oftheionshaveacharge statusof29+,andalsothe28+ charge statusis present.However, the configurationofthe trans-portbeamline,withthepresenceofmagnetsaftertheMCP,allows torejectthelargestamountofthisbackgroundbythestripping ef-fectofthemylarfoil.Withthismethodwewerethereforeableto correctlyidentify the68Ni28+ beam. Amore quantitative analysis
Fig. 3. PulseshapediscriminationplotinaCsI(Tl)detectoroftheCHIMERAsphere. Wenotethatonlylightparticlesandγ-raysareobservedduetotheforward focus-ingofthereactionproducts(coloronline).
ofthecontaminationoftaggedbeamswillbediscussedinthe fol-lowing.ThehighqualityoftheFARCOSsilicondetectorsresponse, togetherwiththecleaningeffectofthefragmentseparator,allows thefullisotopicidentificationof68Ni,asitisshowninFig.2a.In Fig.2b itis shownthe
E–E plot,obtainedwith theFARCOS ar-ray,incoincidencewiththe68Nibeam,shownasablackcirclein
theinsetofFig.2a.FromtheFig.2bonecanbetterappreciatethe amountofthecontaminationofthetaggedbeamby66Ni27+(14%) produced at similar energy withrespect to the one of the main beam. A second contaminant of lower intensity (7%) is 66Cu28+
producedatlowerbeamenergy.Thankstotheisotopicresolution ofthedetectionsystem, andto theenergydifferenceofthe vari-ousnuclei,reactionproductsgeneratedbythesecontaminantscan beeasilyremoved.
ThePDRcan decaybothbyneutronorby
γ
-rayemission(the lastonewithlowerprobability).Inordertodetectγ
-raysweused thesecond stage ofthetelescopes oftheCHIMERA multidetector sphere,composedofCsI(Tl)scintillatorsreadbyaphoto-diode. De-tails on theγ
-rays detection and identification can be found in refs. [41,42]. The energy calibrationof CsI(Tl) detectors was per-formed using 24 MeV proton elastic and inelastic scattering on12C, 197Au and CH
2 targets. More in detail scatteringof protons
andpulser signalswere used to calibrate all detectors inproton equivalentenergy,verifyingthelinearityoftheresponsefunction. Theprotonenergycalibrationwasconvertedin
γ
-rayenergy cal-ibration using,asa referencepoint, theγ
-rayfrom thedecay of the4.44MeVlevelofthe12C.Theseγ
-raysprovidedalsoacheck for the angular distribution and efficiency calibration, as shown in [42]. The p+
12C collision was also usefulin order to verifythat theprobability to produce
γ
-rays fromthedecay ofexcited12C isnegligible intheregion around 10MeV, wherethePDRis
expected.Allexcitedlevelsinthisenergyrangehaveinfacta neg-ligible
γ
-decaybranchingratio[43].Inordertoidentifythe
γ
-rays,weusedthesocalledfast-slow methoddescribedin[41].InFig.3anexampleofpulseshape dis-criminationplot,obtainedinthisexperiment,isshown.Thetiming oftheMCPwasusedasareferencetimeforthepulseshape anal-ysis.Duetothelargeenergyspreadofthefragmentationbeam(2%), itisdifficult fromionenergymeasurements to evaluatethetotal kineticenergylossandfromthistoextracttheaverageexcitation energyofthe system.However, asit was seeninFig. 2b,68Ni
+
12C reactions mostly produce, atforward angles,two kind ofre-actions: reactions in which the mass of 68Ni projectile does not change,andreactions in whichone ortwo neutrons are emitted and66, 67Ni ionsaredetected. Theelasticchannel isnotobserved dueto theFARCOS angular coverage;thegrazing angleis infact around 0
.
7◦.In Fig.4awe report, asbluedots, theγ
-ray energy spectrum,Dopplershiftcorrectedbyassuminganemissionbythe projectile,andmeasuredincoincidencewiththeNifragments de-tected by the FARCOS array (Fig. 2b). We note the presence ofFig. 4. a)Thebluedotsrepresentthe γ-rayenergyspectrum,Dopplershift cor-rected,incoincidencewithNifragmentsdetectedbytheFARCOSarray(Fig.2b). Theredsquaresrepresentthebackground.b)γ-rayspectrum(bluedots)obtained bysubtractingthetwospectrashowninFig.4a.Thebluedashedlineistheγ-ray energyspectrumproducedbythe68Nistatisticaldecay,foldedwiththedetector response function,obtainedusingthe standardCASCADE code.Thered continu-ouslineistheCASCADEcalculation,foldedwiththedetectorresponsefunction,by includingthepresenceofthePDR,GDRandtheGQR.IntheinsettheCASCADE cal-culationbyincludingthepresenceofthePDR,theGDRandtheGQR,withoutthe folding,isreported(coloronline).
γ
-rays yield extending up to 20 MeV. However, the most ener-geticγ
-raysdetectedareessentiallyduetospuriouscoincidences. Thisbackgroundhasbeenevaluatedmovingthefast-slowcutson both sides around theγ
line and it is plotted as red squares. The difference between the coincidence spectrum and the back-groundisreportedasbluedotsinFig.4b.Inordertoevidencethe populationofthePDR,inthisfigure,arealsoreportedtwo calcula-tions performedusingthestatisticalcodeDCASCADE[44,45]. The bluedashedlineisobtainedwithastandardstatisticalcalculation, whiletheredfulllineincludesthestrengthduetothepopulation ofthePDR,thestandardGDRandtheGiantQuadrupoleResonance (GQR).The populationoftheIsoscalarGiantMonopoleResonance (ISGMR) andIsoscalar GiantQuadrupole Resonance (ISGQR) have beenstudiedinthe68Niinrefs. [46,47].Attheenergyof28 A MeV, thecrosssectionforthepopulationoftheISGMRisverylowand moreover this mode can not decay, atleast at the groundstate, byγ
-raysemission;forthesereasonsweneglectedthistransition intheCASCADEcalculation.Whereas,weincludedinthestatistical calculationalsothepresenceoftheGQR,byconsideringthevalues reportedinrefs. [46,47].Wealsounderlinethat whileresonances must be explicitly inserted, standard acceptedconstant strengths ofothertransitionsareincludedinCASCADE.The statisticalcalculationsreportedinFig.4b wereperformed
assuming a range of excitation energies with a maximum at
26.5 MeV. Therange ofexcitation energies hasbeen fixed in or-der to reproduce the charge distribution observed (Fig. 2b) and the slope of the spectrum from 2 to 6 MeV. Excitation energies larger than28MeV are excluded becausewe donot detectmass smallerthan66.Thebluedashedlinestatisticalcalculation repro-ducesjustthefirst regionofthe spectrum(from2 to6MeV),in fact,duetothecompetitionofparticleemission,ifnoresonanceis excited,thehighenergy
γ
-decayprobabilityisverysmall.The ex-perimentalspectrumisreproducedonlyincludingresonancesand in particularwe inserted inthe CASCADEcalculation a PDR con-tributionwithacentroidaround10MeV,awidthof2MeVanda strengthof9%±
2%EWSR, aGDRcontributionwithacentroidof17MeV,awidthof6MeVandastrengthof91%
±
2%EWSRandaGQRwithacentroidaround16MeVandawidthof1.5MeV. Theparameters ofthePDRandGDR resonancesarein reason-ableagreement,insideourerrorsbars,withthevaluesreportedin ref. [30]. These statisticalcalculationsare folded with theCsI(Tl) responsefunction,evaluatedbyperformingGeant4[48,49]
simula-Fig. 5. a)γ-rayenergyspectraDopplershiftcorrected.Thebluedotsrepresentthe coincidencewith68Ni. Theredsquaresrepresentthe γ-rayenergyspectrumin coincidencewith66, 67Ni.Thesespectrahavebeennormalizedatlowenergy.The bluefulllineistheγ-raysfirststepspectrumobtainedwithCASCADE(seetext). b)CrosssectionofthePDRobtainedwiththesubtractionofthespectrashownin Fig.5a(coloronline).
tion.Inordertobetterunderstandtheeffectofthefolding proce-dure,intheinsetofFig.4bisreportedthestatisticalcalculationby includingthePDR,theGDRandtheGQR,withoutthefoldingwith theCsI(Tl)responsefunction.There,onecanclearly seethebump correspondingtotheexcitationofthelow-lyingdipolestate.
Due to the energy resolution of CsI(Tl) detectors the popula-tionofthePDRinFig.4bisevidenced onlybyasmallchangeof slopearound10MeVandbythecomparisonwithstatistical calcu-lations.AbetterexperimentalevidenceofthePDRpopulationcan beobtainedbycomparingthe
γ
energyspectrameasuredin coin-cidencewiththe68Nichanneland66, 67Nichannels.Infact,atthislowexcitationenergythehighenergy
γ
-decayofthePDRhinders furtherparticledecay.Onthecontrary,ifoneormoreneutronsare emittedbythesystem,thehighenergyγ
-raysdecayisinhibited.For these reasons we compare in Fig. 5a the
γ
-rays energy spectrum(blue dots)in coincidence withthe68Ni (Fig. 2b), withthe one measured in coincidence with neutron decay channels
66, 67Ni. The two spectra are normalized in the low energy
re-gion.AlsothesespectraareDopplershiftcorrectedbyassumingan emission fromthe projectile. The background was evaluated and subtracted withthefast-slow cuts, asshowninFig. 4a. We note inFig. 5a the enhancement around 10MeV, asit was expected, due to the PDR decay in the 68Ni channel. We observe a
rela-tively smallyield inthe GDRhigh energyregion aspredictedby thesemiclassicalcalculations.Indeed,thesecalculationsshowthat, attheserelativelylowincidentenergiesandwiththelowCoulomb fieldofthe target,the excitationprobability forthe PDRmodeis higherthantheonecorresponding totheGDR energyregion.The smallyield ishoweveralso dueto thelower detection efficiency inthehigherenergyregion.Weunderlinethatitisnotpossibleto comparetheexclusiveenergyspectraofFig.5withinclusive CAS-CADEcalculations.However,onecancomparethe
γ
-raysspectrum incoincidencewith68Ni withγ
-rays first stepspectragenerated withCASCADE,namelywiththeγ
-raysemittedasfirstparticlein thedecayprocess.Infact,sucheventsatthelowexcitationenergy of the system produce only 68Ni nuclei. This calculation, foldedwiththe CsI(Tl) response function, is plotted asblue full line in Fig.5a. The comparison is quite good andthe calculation repro-ducesthebump in theenergyregion of thePDR.Clearly, inthis calculation,thelowerenergyspectrumisnotreproducedbecause inthisenergyregionthecontributionofthedecayofdiscrete lev-elsinthefinaldecaystepsismissing.
InFig. 5bwe report the PDRenergy
γ
-spectrumobtained by subtractingthetwonormalizedspectraofFig.5a.Thismethod al-lowsto give a lower limit to thePDR yield, becausesome small PDRcontributioncould bepresentalsointhe66, 67Ni coincidence spectrum.However thisis thesimplest waytocompare thePDRFig. 6. a)Themeasuredγ-rayangulardistribution.ThelineistheexpectedE1 an-gulardistribution.b)The68Niangulardistributionmeasuredincoincidencewith γ-raysintheregionofthepygmyresonance(coloronline).
yieldwithpreviousexperimentalresults[29] andlooktothe pres-ence of isospin splitting above particle emission threshold. The cross section is obtained taking into account the detection effi-ciency, as better specified in the following. It is very important toverifytheE1characteroftheobservedbumpataround10 MeV incoincidencewiththe68Nichannel,inordertoprovethedipole
characterofthetransition. Toprovethiswe extractedtheangular distribution ofthe emitted
γ
-rays inthe region of the enhance-ment ataround10 MeVshown inFig.5b.The granularityof the spherical region of the CHIMERA multidetector, covering angles from 30◦ to 176◦, in step of 8◦ up to 146◦, allows to extract the angular distribution. Because of the relatively low statistics, we were forced to sumγ
-rays detected in two rings ofthe ap-paratus; therefore theeffectivelaboratory angular resolutionwas±
8◦,beingnegligibletheerrorintheevaluationofthe68Niscat-teringangleassumedasreferenceaxis.Thisangulardistributionis showninFig. 6a.Notwithstandingthescarce statistics,the angu-lardistributionshowsthetypicaldistributionexpectedforadipole transitionwithamaximumaround90◦(fullblueline).Theangular distribution was corrected for the effective
γ
-ray detection effi-ciency evaluated usingGeant4simulation at10 MeV,taking into account the thickness of CsI(Tl) scintillators of the sphere (from 8 to 4cm ) mounted atdifferent angles andmalfunctioning de-tectors.Onaveragethetotalγ
-raydetectionefficiencywasofthe orderof25%.Inordertoevaluatetheoveralldetectionefficiencyit isalsoimportanttodeterminetheangulardistributionofthe emit-ted68NiincoincidencewiththePDRenhancement.Unfortunately,duetolossesinefficiencyofthePPACdetectorwedidnothavethe informationonthebeamtrajectoryforalltheevents.However,the beamdivergencewasratherlow,oftheorderof0
.
5◦;thereforeby assumingthiserrorintheangulardistribution(andafurther0.
2◦ duetotheangularstraggling inthethick12Ctarget),andcorrect-ing for theaverage beam directionthat can be evaluated by the impingingpositionintheDSSSDdetector,wewereabletoevaluate theangulardistribution whichisplottedinFig.6b.We notethat thelargestpartoftheeventsiscollected from12◦ to 20◦,witha maximumaround15◦intheCMreferenceframe.Theoverallbeam efficiencywascalculatedwithaMonte-Carlo simulation,by using themeasuredbeamdistribution.Takingintoaccounttheobserved angulardistribution,onecanevaluateanaverageefficiencyforthe
68Nidetectionoftheorderof52%.
We cannot extract muchmore physicalinformationfromthe
68Ni angular distribution, shown in Fig. 6b. In fact, to perform
meaningfulDWBAcalculationsweshouldalsohavethemeasured elastic scattering angular distribution in order to fix the optical potential. However, the68Ni angular distributionis importantfor evaluatingthe68Nidetectionefficiencyanditmaybeareference
pointforfuturemeasurements.
Theabsolutecrosssectionsofthepygmy
γ
-raydecayreported inFig.5b,Fig.6aandFig.6bareobtainedthankstotheeventbyeventcounting of the beamintensity and the knowledge of tar-get thickness, once determined the detection efficiency. In total, we countedabout1
.
4×
109 68Ni beamparticles.Taking into ac-counttheaveragebeamdetectionefficiency(52%)andtheaverageγ
-raydetectionefficiency(25%),thetotalcrosssectionofthePDRγ
-decayamountsat0.32mbwitha statisticalerroroftheorder of18%.Beingsureof theE1 character ofthe resonancewe can com-pare themeasured
γ
-rayspectrum tothe one obtainedusingan almostpure isovectorprobe,likeintherelativisticCoulomb exci-tationinref. [29].Comparingourresultswiththeresultsobtained inref. [29] there is almost an orderof magnitudedifference be-tween the two cross sections, which is probably caused by the different reactions regimes. Furthermore, in the GSI experiment [29] themaximumofthestrengthdistributionislocatedataround11 MeV, while in thiscase it seems peaked at around 10 MeV,
more in agreement with the resultobtained in ref. [30]. Due to the response function of CsI(Tl) detectors, the enhancement ob-served at10MeVis generatedby
γ
-rayswithenergyof approx-imately 10.5 MeV. The differentslope ofstatisticalγ
-ray spectra underlyingtheresonanceandpropagationerrors,inthecalibration procedure,canaccountfortheresidualdifferenceontheobserved energystrength ofthe resonance.Withinthe smallstatistics and therelativelyscarceenergyresolutionofthepresentmeasurement andprevious experiments[29,30],thiscomparisonseems to indi-cate that the outcome of the excitation process due to the two isoscalarandisovectorprobesissimilaralongthePDRenergy re-gion.Therefore the isospinsplitting seems notto be observed at theenergy abovethe neutronemission threshold;howevermore precisemeasurements arenecessaryto betterprovethis observa-tion.4. Conclusions
Insummarywehaveobserved,forthefirsttime,the
γ
-ray de-cay of the pygmy resonance populated by an isoscalar probe in the 68Ni. The measuredγ
-ray angular distribution showsthe E1characteroftheresonance.Themeasuredcrosssectionofthe pro-cess amounts at 0.32 mb with 18% of statistical error. We have shownthat12Cisagoodprobefortheisoscalarexcitation. More-over,thetarget contributiontothe
γ
-rayenergyspectruminthe regionaround10MeVisnegligible.Wehavealsoshownthatthe E1states at the low lying energy region around 10 MeV can be excited by bothisoscalarandisovector probeswhich isin agree-mentwiththetheoreticalfindings[16] aboutthemixedcharacter ofthesedipolestates.Fromthecomparisonwithprevious experi-mentsperformedwithisovectorprobesitseemsthattheso-called isospinsplittingisnotpresentforthelowlyingdipolestatesfound atexcitationenergiesabovetheneutronemissionthreshold. How-ever,dueto thelimitsofthe relativesmall statisticsandrelative scarceenergyresolutionofthepresentmeasurementandprevious experiments[29,30],itisnotpossibletodrawdefiniteconclusions. Moreover,theroleofmultistepcontributionstothepopulationof thePDR,whichisnotpresentinthe(α
,
α
,
γ
)experimentsin sta-blenuclei, maymodify the shapeof theenergy distribution.The multistep contribution has been taken into account in ref. [50], forCoulomb relativisticexcitation of Tin isotopes, where this ef-fect hasbeen estimatedfor the132Snto be of theorder of10%.In order to further improve this observation, we are planning a new experimenttoexcite the pygmydipole resonance withboth isoscalarandisovectorprobes.
Acknowledgements
Special thanks are due to the technical staff of the LNS cy-clotronandespeciallytheheadofacceleratordivisionG.Cosentino for theproductionof thefragmentationbeam. A particular men-tion forthe helpintheunderstanding ofthetransmissionof dif-ferent charge status of the beam is due to C. Nociforo of GSI, Darmstadt. We also thank M.N. Harakeh for the fruitful sugges-tions.
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