High Purity Pion Beam at TRIUMF A.Aguilar-Arevaloa,M.Blecherb,D.A.Brymanc,J.Comfortd,J.Doornbosa,L.Doriaa,A.Husseine,N.Itof,S. Kettellg,L.Kurchaninova,C.Malbrunotc,G.M.Marshalla,T.Numaoa,∗,R.Poutissoua,A.Shera,B.Walkerc,K. Yamadaf aTRIUMF,4004WesbrookMall,Vancouver,B.C.V6T2A3,Canada bPhysicsDepartment,VirginiaTech.,Blacksburg,VA24061,USA cDepartmentofPhysicsandAstronomy,UniversityofBritishColumbia,Vancouver,B.C.V6T1Z1,Canada 0 dArizonaStateUniversity,Tempe,AZ85287,USA 1 eUniversityofNorthernBritishColumbia,PrinceGeorge,B.C.V2N4Z9,Canada 0 fPhysicsDepartment,OsakaUniversity,Toyonaka,Osaka,560-0043,Japan 2 gBrookhavenNationalLaboratory,Upton,NY11973-5000,USA n a J 8 1 Abstract ] AnextensionoftheTRIUMFM13low-energypionchanneldesignedtosuppresspositronsbasedonanenergy-loss h techniqueisdescribed.Asourceofbeamchannelmomentumcalibrationfromthedecayπ+ →e+νisalsodescribed. p - Keywords: Beamchannel,Particleseparation,PionDecay c c PACS:41.85.Ja,13.20.Cz,29.27.Eg a . s c 1. Motivation i s y h p [ 1 v 1 2 1 The branching ratio of pion decays [1, 2], 3 R=Γ(π → eν + eνγ)/Γ(π → µν + µνγ), has pro- . vided the best test of the hypothesis of electron-muon 1 Figure1:M13channelwiththeextension. 0 universality in weak interactions. The new TRIUMF 0 PIENUexperiment[3]aimingtoimprovetheprecision 1 of the branching ratio measurement by a factor of 2. M13ExtensionDesign v: five or more measures positrons from the π+ → e+ν Xi decay (Ee+ = 69.8 MeV) and the π+ → µ+ → e+ 2.1. ExistingM13channel decaychain(π+ → µ+νdecayfollowedbyµ+ → e+νν r The layoutof the existingM13 channel[4] together a decay,Ee+ < 52.8MeV).In orderto obtainmaximum with the new beam line extension is shown in Fig.1. acceptance with minimum uncertainties arising from Thebeamline takesofffromtheprimaryprotonbeam positron energy-dependentcross sections, the detector line (BL1A) at an angleof 135◦ froma 1-cmthick Be system involving a large NaI crystal is placed on the productiontarget(T1). TheM13channelwithamaxi- beam axis. Positrons in the beam (1/4 of the rate of mumangularacceptanceof29msrisalow-momentum pions) severely increase detector rates, trigger rates achromatic channel with −60◦ (B1 magnet) and +60◦ and background in the π+ → e+ν spectrum. The TRIUMFM13channel[4]hasthereforebeenupgraded tosuppressthepositroncontaminationinthepionbeam. ∗Correspondingauthor:E-mail:[email protected],Tel:1-604-222- 7345 PreprintsubmittedtoNuclearInstrumentandMethod January19,2010 (B2 magnet) bends, a quadrupole doublet (Q1–Q2) initial pion momentum of 76.8 MeV/c, which was between the production target and B1 for collecting degraded to 73.6 MeV/c by a 2.0 mm thick Lucite pions, a quadrupole triplet (Q3–Q5) between the two absorber. Separation of 53 mm between the pion and bends,andaquadrupoledoublet(Q6–Q7)downstream positron images was expected at F3. The positron of B2 for the final focusing. There are three foci: image size was expected to be 16 mm (FWHM) with F1 between B1 and Q3, F2 between Q5 and B2, and a small tail at the low momentumside, while the pion F3 after Q7. Beam acceptance-defining slits SL0 are sizewas18mm(FWHM)witha10%tail. Twothirds located just upstream of the first bending magnet B1, of the pions are lost due to decay-in-flight, scattering, andtherearemomentum-definingslitsSL1andSL2at and collimation, resulting in a pion to positron ratio F1 and F2, respectively. About 10 cm downstream of of 100 expected at F4. Third order aberrations might SL1, there are two absorber/slitwheels each with four cause some broadeningof the beam spot but were not mountingpositionsthatallow4×4combinationsofslit expectedtoimpactthesuppressionfactor. and/orabsorbersettings.Themaximum75-MeV/cpion yield at F3 is 0.8 M/s for 500 MeV, 100 µA TRIUMF cyclotronoperation. 2.3. TheExtension ThenewextensionstartsatF3(0.9mdownstreamof Q7),andconsistsofa–70◦ bendingmagnet(B3)at1.5 2.2. DesignPrinciple m downstream of Q7, and a 30-cm diameter aperture Energy-loss-basedparticleseparatorshavebeenused quadrupole triplet (Q8-Q10) after B3. A 5 cm thick sincetheearlydaysofparticlephysicsexperiments[5]. lead collimator with a 3 cm square hole placed at F3 Thedifferentialenergyloss at75MeV/c forpionsand stops the displaced positrons and redefines the pion positronsis large enough for clean particle separation, image. ThenewfocusF4is1.5mdownstreamofQ10. and this concept can be applied simply to the existing ThetotallengthoftheextensionbetweenF3andF4is M13 structure. When a thin foil is inserted at the ab- 4.5m. Tocauseamomentumspreadbetweenpositrons sorberwheelnearF1,amomentumspreadbetweenpi- andpions,1.45mmand2.0mmthickLucitedegraders ons and positronsresults due to the energy loss differ- are mounted on the absorber wheel near F1. Here the ence.FollowingsubsequentmomentumanalysisbyB2, momentumwidthoftheincomingbeamisrestrictedto pionsand positronsseparate into two distinct horizon- 1.5%(FWHM)byclosingtheSL1horizontalslitto1.5 taldistributionsatF3. Acollimatorcanbeplacedsuch cm. ThebeamafterF1istunedforthepionmomentum thatitstopsonlypositrons. A smallmomentumtailof correspondingtothepionenergyaftertheenergyloss. thepositronbeamduetobremsstrahlungresultsinsome positronsat the pion spot, giving < 1 % positron con- tamination. Dueto the energy-lossvariationin the ab- 3. Measurements sorber,thepionbeamhasasignificantlow-momentum tail, which results in degradation of the image at F3. 3.1. Detectorandmeasurements Showers from stopped positrons may be a source of Tests were carried out in two stages; the first stage backgroundwitha23MHzradiofrequency(RF)struc- wasdoneatF3beforetheinstallationoftheextension, tureoftheprotonbeamfromtheTRIUMFcyclotronif and the second at F4 after installation. The incoming thedetectorsystemwerelocatednearF3. beam was measured at F3 or F4 with a telescope The extension of the M13 channel provides con- consisting of two plastic scintillator beam counters trolledpionbeamquality,althoughthereisapioninten- (0.6 cm × 15.2 cm × 20.3 cm and 0.3 cm × 3 cm sitylossduetodecay-in-flight. Theblurredpionbeam × 4 cm), 6 layers of 10-cm diameter wire chambers imageduetoacombinationofmomentumspreadbythe arranged in the wire orientation of X-U-V-X-U-V (0◦ absorberanddispersionbytheB2magnetcanberede- and±60◦withrespecttotheverticalaxis),anda48cm finedwitha collimatoratF3 foranimprovedimageat diameter48cmlongNaI(Tℓ)crystal[7]surroundedby anewdownstreamfocusF4. Theextensionisolatesthe two cylindrical layers of 8.5 cm thick, 2×25 cm long showersourcefromthedetector,allowingbettershield- pure CsI crystals [8]. The time of arrival of particles ingforγ-raysfromthestoppedpositrons. at the beam counter with respect to the cyclotron Simulation was done using a Monte Carlo beam RF time provided particle identification based on the transportprogram, REVMOC [6], which calculates up time-of-flight(TOF)togetherwith theenergylossesin tosecond-orderopticsincludingtheeffectsofmultiple thetelescopecounters. Coulomb scattering. The calculation was done at the 2 3.2. MeasurementswithouttheExtension 3.3. MeasurementswiththeExtension The pionand positronrates at 75 MeV/c were mea- After initial tuning of the entire beam channel at sured with the width of the momentum-defining hori- 77 MeV/c with a 5 cm thick lead collimator with a zontalslitSL1setat1.5cmtobe0.2M/sand0.05M/s, horizontalopeningof 3 cm placed at F3, the 1.45 mm respectively,fora100µAprotonbeamonthe1cmthick thick absorber was inserted and the downstream beam Betarget. TheverticalslitsatSL1andSL2weresetat momentum (only B2 and B3) was scaled to measure 2.5cmand4cm,respectively,restrictingthebeamrates thepionandpositronyieldsatF4. to1/4ofthemaximumrate. Thehorizontalandvertical beam spot sizes at F3 were measured to be 4.5 mm × 2.2 mm (rms), respectively, for positrons (10 % wider forpions). 40 Inordertosuppresspositronsbasedonthedisplace- mentatF3,thetailinthebeamprofileneedstobemin- 30 Pion imized. Effects of slits on the beam profile were stud- z) H ied. Acceptance-limitingjawsSL0upstreamoftheB1 k magnetcausedabroadtailupto1/3ofthetotalpositron ate ( 20 intensitywhentheywereclosedtonarrow(1cm),while R notailwasobservedwhenSL0waswideopen(12cm). 10 Positron ThemomentumdefiningslitsSL1atF1didnothavean impactonthetail. Theseobservationsindicatedthatthe 0 jawsSL0 producedan additionalsourceimagethatal- 73 74 75 76 Momentum (MeV/c) loweddifferentmomentumcomponentstopassthrough SL1. Whena 1.45mmthickLuciteabsorberwasinserted Figure3:Pion(closedcircles)andpositron(opencircles)yieldsatF4 forvariousdownstreammomenta. into the beam near F1, the positron beam position at F3 was displaced by 46 mm with respect to the pion Fig.3 shows a plot of pion and positron rates at F4 beam as shown in Fig.2. In order to display pions vs. the downstream channel momentum. The rates and positrons (solid histograms) in the same plot, the are normalized to a 100 µA proton current. After upstream momentum was raised only by 1 %, and further tuning of beam focusing at F1 and F3, the e+ the measured position and intensity might slightly be beam contamination with respect to the pion rate was biaseddue to the geometryof the wire chambers. The reducedto1/60. Thehorizontalandverticalbeamspot horizontal spot sizes of positrons and pions increased sizes were 12 mm and 9 mm (rms), respectively. The to7.0and8.9mm(rms),respectively,withatailinthe observed pion rate of 40 k/s, being consistent with low momentum side. For a thicker absorber (2.0 mm the prediction, can be increased without significantly thickLucite),theseparationincreasedto50mm. affectingthe verticalimageat F4 to morethan 100k/s byopeningthe verticalSL1 andSL2 slits, whichwere setat2.5cmand4cm,respectively. 1200 π+ 1000 S 3.4. BeamChannelCalibrationSource T800 N Due to uncertaintiesin thefringefieldsof the bend- OU600 µ+ e+ ing magnets, it is usually difficult to obtain an abso- C 400 lute beam momentum calibration with accuracy. Two sources commonly used for calibration are the high- 200 momentum edges of positrons from µ+ → e+νν and 0 −60 −40 −20 0 20 40 60 surface muonsfrom π+ → µ+ν. The decay π+ → e+ν X position (mm) fromstoppedπ+intheproductiontargetcouldprovidea highenergysourcewithadefinitivepeakat69.8MeV/c. Figure2: Pion,muonandpositronpositiondistributions atF3(his- Unlikethesurfacemuon,themeasurementofthedecay tograms). Theheavylines arefittedGaussiancurves forpions and positrons. π+ → e+ν from the productiontarget does not require specialequipment. 3 Themajorsourceofbeampositronsabove55MeV/c produced at 500 MeV is from the decay π0 → γγ 1 promptly followed by γ-ray conversion to electron- positronpairs in the targetmaterial. The positron mo- µ+ → e+ ν ν mentum distribution is nearly flat as shown in Ref.[4]. 10-1 These positrons are prompt with respect to the proton beamburst. atio π+ → e+ ν R10-2 We searched for delayed positrons coming from the beamlinebyvaryingthebeamchannelmomentumbe- tween 50 MeV/c (below the µ+ → e+νν edge) and 80 10-3 MeV/c. Tightcutsonenergylossinthebeamcounters suppressedthepionandmuoncontaminationstoaneg- ligiblelevel. Byselectingeventswiththebeamenergy 50 60 70 80 intheNaIdetector,pionsandmuonswerefurthersup- Momentum (MeV/c) pressedaswellasthebackgroundfromπ+ →µ+ →e+ 105 decayscomingfromstoppedpionsnearthedetector.At this point, events originated from π0 were dominant. 104 The π+ → e+ν component was enhanced by select- ingdelayedeventsusingthe TOF. Fig.4a showsyields S of delayed positrons normalized to the total positrons UNT103 τ = 24.6 ± 2.8 ns withthebeamchannelmomentum.Theedgearound52 O C MeV/cisfromµ+ → e+ννdecaysfromtheproduction 102 target. The rate of delayed π+ → e+ν events was 0.6 % of the total positronsat the same beam momentum. 10 The peak momentum shift of 1.3 MeV was consistent withthe energylossof positronsinthe productiontar- 0 10 20 30 40 Time (ns) get (0.5–1MeV) and the uncertaintyin the calibration of1%. Fig.4bshowsa time spectrumfor68.5MeV/c Figure4: (Top:a)Fraction ofdelayed positrons withthebeammo- positrons with respect to the proton burst (the RF sig- mentumand(Bottom:b)timespectrumof68.5MeV/cpositronswith nal). The delayed component has a decay constant of respecttotheprotonburst. Thefitofthedelayedcomponenttoan 24.6±2.8ns, whichis consistentwiththe pionlifetime exponentialcurveisshownintheboldline. [9]. Itisworthwhiletomentionthatthesepositronsare expectedtobe∼100%circular-polarized. the requirements of the PIENU experiment, including By flipping the beam channel polarity to negative, a pion rate of 100 k/s and positron suppression. A we also searched for delayed 50 MeV/c electrons from µ− → e−νν decays in the production target as new calibration source from π+ → e+ν decays in the targetwasidentifiedforlow-momentumbeamchannels. a potential high-intensity source of stopped negative muons. Theratioofdelayedandpromptelectronswas measuredto be (3.5±0.4)×10−3, which is consistent with an estimate of 6 × 10−3 based on the product of the ratio of delayed and prompt positrons (2.9), the 5. Acknowledgment π−/π+ productionratioin this energyregion(1/5),and thefractionofdecay-in-flightofpionsinwhichmuons stopinthetarget(1%)[10]. The authors wish to thank C. Ballard, N. Khan, R. Kokke,D.Evans,K.Reiniger,andthebeamlinegroup for the design and installation work. This work was supported by the Natural Science and Engineering 4. Conclusion Research Council and the National Research Coun- cil of Canada. One of the authors (MB) has been TheTRIUMFM13channelwasmodifiedtoachieve supported by US National Science Foundation grant apion/positronratioof>50usingadifferentialenergy- Phy-0553611. lossmethod.Theperformanceoftheextensionsatisfies 4 References [1] D.I.Brittonetal.,Phys.Rev.Lett.68(1992)3000andPhys.Rev. D49(1994)28. [2] G.Czapeketal.,Phys.Rev.Lett.70(1993)17. [3] TRIUMFproposalS1072,2005. [4] C.J.Orametal.,Nucl.Instr.Meth.179(1981)95. [5] D.I.Meyer,M.L.PerlandD.A.Glaster,Phys.Rev.107(1957) 279. [6] C.KostandP.Reeve,TRIUMFreport,TR-DN-82-28,1982. [7] G.Blanpiedetal.,Phys.Rev.Lett.76(1996)1023. [8] I-H.Chiangetal.,IEEENS-42(1995)394. [9] T.Numaoetal.,Phys.Rev.D52(1995)4855andV.P.Koptev etal.,JETPLett.61(1995)877. [10] T.Numaoetal.,Phys.Rev.D73(2006)092004. 5