Simultaneous Measurement of Ionization and Scintillation from Nuclear Recoils in Liquid Xenon as Target for a Dark Matter Experiment E.Aprile1,∗ C.E.Dahl4, L.DeViveiros3, R.Gaitskell3, K.L.Giboni1, J.Kwong4, P.Majewski1, K.Ni1, T.Shutt2,† and M.Yamashita1 1 Department of Physics, Columbia University, New York, NY 10027, USA 2Department of Physics, Case Western Reserve University, Cleveland, OH 44106, USA 3Department of Physics, Brown University, Providence, RI 02912, USA and 4Department of Physics, Princeton University, Princeton, NJ 08540, USA (Dated: February 4, 2008) Wereportthefirstmeasurementsoftheabsoluteionizationyieldofnuclearrecoilsinliquidxenon, asafunction ofenergy andelectric-field. Independentexperimentswerecarried out with twodual- phase time projection chamber prototypes, developed for the XENON Dark Matter project. We 6 find that the charge yield increases with decreasing recoil energy, and exhibits only a weak field 0 dependence. Theseresultsareafirstdemonstration ofthecapability ofdualphasexenondetectors 0 to discriminate between electron and nuclear recoils, a key requirement for a sensitive dark matter 2 search at recoil energies down to 20 keV. n PACSnumbers: 95.30.CqElementaryparticleprocessesinAstrophysics,95.35.+dDarkMatter,25.40.Dn a Elasticneutronscattering,29.40.McScintillatorDetectors J 4 2 Introduction: Current evidence indicates that one The active LXe is defined by two electrodes, a cathode quarter of the mass-energy density of the universe is and a gate grid, at a distance of 1.9 cm (Columbia) and 1 composed of cold, non-baryonic dark matter, which has 1.0 cm (Case). An event in the active LXe produces v thus far been observed only through its gravitational both ionization electrons and scintillation photons. If 2 5 interactions with normal matter. Its precise nature is trapping by impurities is negligible, the electrons which 5 undetermined, but weakly interacting massive particles escapeinitialrecombinationdriftfreelyunderanapplied 1 (WIMPs) are an attractive candidate which may be de- electric field of a few kV/cm up to the liquid-gas phase 0 tectable via rare elastic scattering interactions deposit- interface where they are extracted and accelerated by 6 ing a few tens of keV in target nuclei. For a review the high (∼10 kV/cm) field applied across the gas gap. 0 of the motivation for WIMPs, and current experimental These acceleratedelectrons produce proportionalscintil- / h WIMPsearches,see[1]. Thebestlimits,fromCDMS,are lation photons before being collected on the anode. The p <0.06 events/kg/day (in Ge) [2]. Improving the search fieldsarecreatedbysettingpotentialsonfourelectrodes: - o sensitivitywillrequirebothlargerdetectorsandlowerra- cathode, gate grid, anode, and top grid. The electrodes r dioactive backgrounds. An attractive method to achieve are stretched wire grids, except for a solid stainless steel t s this usesliquidnoblegas-baseddetectors,whichpromise cathode in the Case detector and a mesh top electrode a to be readily scalable to the multi-ton scale. For the in the Columbia detector. The wire grids are made with : v XENONexperiment[3],wearedevelopingalargevolume 120µmdiameterBeCuwiresona2mmpitch,exceptfor i liquid xenon (LXe) dual-phase time-projection-chamber 40 µm gate grid in the Case detector, and are soldered X (TPC) that features simultaneous measurementof recoil to SS (Columbia) and Cirlex (Case) frames. r ionization and scintillation to determine the energy and a Photomultiplier tubes (PMTs) detect both the direct 3-D localization on an event-by-event basis. Nuclear re- scintillation light (S1) produced at the event site in the coils from WIMPs (and neutrons) have denser tracks, liquid and the proportional scintillation light (S2) pro- andthus havebeen assumedto havegreaterelectron-ion duced in the gas. The time difference between the two recombinationthanelectronrecoils,providingabasisfor signals, determines the depth of the event. The 5 cm discrimination against radioactive background gammas diameter, 4 cm long metal channel PMTs (Hamamatsu and betas. However, ionization from these nuclear re- ModelR9288)weredevelopedtobedirectlycoupledwith coilshasnotbeenmeasureduntilnow. Inthisreport,we LXe, and have a quantum efficiency of ∼15% at the 178 describe the firstmeasurementsofthe ionizationyieldof nm wavelength of the Xe scintillation [4]. PTFE is used low energy nuclear recoils in LXe and confirm the base- as a VUV reflector enclosing the active LXe volume in line discrimination capability of this technique. both detectors. The Columbia detector uses two PMTs, one in gas and one in liquid. Because of total internal Independent measurements were carried out with two reflection at the liquid surface (index of refraction 1.65 separate dual-phase detectors at Case and Columbia. at 187 K [5]), the light collection is significantly better for the PMT in the liquid. The total S1 light collection efficiency(fractionofphotonsincidentonthephotocath- ∗Electronicaddress: [email protected] odeofaPMT)isestimatedfromMonteCarlotobemore †Electronicaddress: [email protected] than 50%, uniform across the volume to within 5%. An 2 internal blue light LED is used to calibrate and monitor after, nuclear recoil energies calculated in this way will the gain of the two PMTs. The Case detector uses a be denoted ’keVr’, and electron recoil energies based on single PMT in the gas, with an S1 light collection effi- the linear S1 scale will be denoted ’keVee’. In the Case ciency of ∼16%. The PMT gain is monitored using the and Columbia detectors the S1 calibration gives, respec- S1 light from 5.3 MeV alphas from a source described tively, 1.5 photoelectrons (pe)/keVee and 5 pe/keVee, at below. The operation of a dual phase LXe detector is zeroelectric field, which correspondto 0.28pe/keVr and described in more detail in [6]. 1 pe/keVr for 55 keVr nuclear recoils. Both detectors use a liquid nitrogen-cooledcold finger TheS2signalmeasurestheionizationfromeachevent. cryostat with temperature control to maintain a stable Thereisnopublisheddataofchargeyieldvsfieldforlow liquid temperature. The detectors were operated with energy gammas in LXe, so this measurement was per- 57 vapor pressures between 2.0 and 2.8 atm, with better formed with Co 122 keV gammas, in both the Case than 1% stability. The Case detector also uses a triple- [15] and Columbia [16] detectors operated in single (liq- parallelplatecapacitorsystemtoalignthe liquidsurface uid) phase. The results are shown in Fig. 4. The S2 with the grids and monitor the level and stability of the calibrationis a function of gas pressure and electric field liquid surface, which was[7] stable to within 20 µm over across the gap [17], with the added complication of pos- two months. The LXe in both detectors was purified us- sible electron multiplication near the anode wires. Typ- ing a high temperature getter. The Columbia detector ical values were 19 pe/e− with 4.6 kV/cm (Case) and usedthe purificationsystemwithcontinuousgascircula- 8.4 pe/e− with 2 kV/cm (Columbia). tion through the getter, developed for the first XENON Figures1 and2showsthe detectors’responsesto neu- prototype [8, 9]. The Case detector used a similar recir- tron and low energy Compton scattering events. The culating system only at the start of its two-month run. logarithmoftheratioS2/S1isplottedasafunctionofnu- External gamma ray sources, including 57Co, 133Ba, clear recoil energy (keVr). In both detectors, the elastic and 137Cs, were used for calibration of both detectors. nuclearrecoilbandis clearlyseparatedfromthe electron The Case detector also had an internal 210Po source de- recoil events. The events identified around 40 keVee are posited on the center of the cathode plate, providing from gamma rays produced by neutron inelastic scatter- 5.3 MeV alpha particles and 100 keV 206Pb nuclear re- ing on 129Xe. Additional gamma ray events are emitted coils. Events <0.5 mm above the cathode were tagged following inelastic scattering of neutrons on 131Xe and aspossiblealphasand206Pbrecoils. Forneutrondata,a 19FcontainedinPTFE.The detectorresponsesto 137Cs 5 Ci AmBe source (Columbia) and 25 µCi 252Cf source (Columbia) and 133Ba (Case) show only the gamma ray (Case) were used, with lead shielding to attenuate gam- band. mas from the sources. Nuclear Recoil Ionization Yield: The ionization The PMT signals were digitized with multiple ADCs yield is defined as the number of observed electrons per sampling at 5 MHz-1 GHz. The effective trigger thresh- unit recoil energy (e−/keVr). The nuclear recoil ioniza- oldforthe Casedetectorwas4.5electronsforthe S2sig- tion yield as a function of energy is shown in Fig. 3, nal, and 50% single photoelectron (spe) acceptance for for several drift fields. The uncertainty on the yield is S1. For the Columbiadetector the triggerwas either the dominatedby the systematic errorfromthe57Co S2 cal- coincidence of the S1 signals from the two PMTs (at a ibration. fewspelevel)ortheS1signalfromthePMTintheliquid Fig. 4 summarizes the relative light and charge yields (at a ∼6 spe level). as a function of drift field for different particles in LXe: Calibration and Raw Data: Both detectors were 122 keV gamma rays from [15, 16], 56 keV Xe nuclear calibratedprimarilywith57Co122keVgammas,forboth recoils from [10] and this paper, and 5.5 & 5.3 MeV al- the S1 and S2 signals. The S1 signal servesas an energy phas from [18] and the Case detector. The relative light axis for nuclear recoils, given by Er = Ee/Leff ·Se/Sr yield S(E)/S0 is the light yield relative to that at zero where Er is the nuclear recoilenergy, Ee is a linear elec- fieldS0. TherelativechargeyieldQ(E)/Q0 isthecharge tronrecoilenergyscale basedonthe 57Co S1 peak, L collectedrelativetothatatinfinite field(i.e., withnore- eff is the effective Lindhard factor relating the scintillation combination) Q0. For nuclear recoils, Q0 = Er ·L/We, yieldsofnuclearandelectronrecoilsatzerofield,andS where E is the recoil energy, L is the supression pre- x r is the loss of scintillation light due to the recombination dicted by Lindhard theory [19], and W = 15.6 eV [20] e suppression by the electric field for species x, equal to isthe averageenergyrequiredtoproduceanelectron-ion S(E)/S0 in Fig. 4. Recent measurements at Columbia pair in LXe. For gammas and alpha particles, we divide give Sr for 56.5 keV recoils and Leff at energies up to the known energy by We to obtain Q0. 56.5 keV [10]. Other experiments [11, 12, 13, 14] have Discussion: The important characteristics of the measured Leff at higher energies. The Columbia and measured ionization yield of nuclear recoils in LXe are other data, except [13], were parameterized by Leff = its value relative to that of other particles (Fig. 4), its 0.0984E 0.169. For simplicity, we assume S has no en- energy dependence (Fig. 3), and its field dependence r r ergy dependence since the Columbia measured value is (Fig. 4). The yield is a function of the Lindhard fac- close to unity, as seen in Fig. 4. Also shown in Fig. 4 tor and the amount of recombination in the track. The aremeasurementsofS asafunctionofdriftfield. Here- Lindhard factor has no field dependence, and does not e 3 Vr] 6 e k5.5 e/ eld [ 5 Columbia Case n Yi4.5 0.27 kV/cm 0.10 kV/cm o 2.00 kV/cm 2.03 kV/cm ati 4 z ni o3.5 I 3 2.5 Sys.+Stat. Error (Columbia) 2 1.5 Sys.+Stat. Error (Case) 1 20 30 40 50 60 70 80 90 100 110 120 Energy [keVr] FIG.3: Energydependenceofnuclearrecoilionization yield at different drift fields. 1 alpha, light 0.9 NR, light Q00.8 E)/ 0.7 ER, charge Q( 0.6 S(E)/S or 0000...345 ER, light 0.2 NR, charge 0.1 alpha, charge 0 FanIGd.1317:CsCgoalummmbaiasdoeutreccetso(rbroetstpoomn)s,eatto2AkmVB/ecmnedurtirfotnfi(etldop.) E)/Q(4.5 kV/cm)0.150 N0R.5 E1R 1.5 2alpha2.5 3 3.5 4 4.5 5 Q( 00 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Drift Field (kV/cm) FIG.4: Top: Field dependenceofscintillation andionization yield in liquid xenon for 122 keV electron recoils (ER), 56 keVr nuclear recoils (NR) and alphas. Bottom: Ionization yields scaled by their 4.5 kV/cm values. affect the relative charge yield (Fig. 4). Lindhard does predict a slight decrease in charge yield with decreasing energy,theoppositeofwhatwesee. Thereforeweexpect recombination and its dependence on track density and shape to explain the above phenomena. Recombination is primarily a function of electric field and ionization density, with stronger recombination at low fields and in denser tracks. Ionization density along atrackcorrespondsroughlytoelectronicstoppingpower, plotted in Fig. 5 for alphas, electrons, and Xe nuclei in LXe, as given by ASTAR, ESTAR, and SRIM [21], re- spectively . Also shown is the total energy lost to elec- tronic excitation per path-length for Xe nuclei, which differs from the electronic stopping power in that it in- cludes energy lost via electronic stopping of secondary recoils [22]. Atlowerenergies,thestoppingpowerforXenucleide- creases, indicating lower recombination and higher ion- FIG. 2: Case detector response to 252Cf neutron (top) and izationyield,asobserved. Thestoppingpower,including 133Ba gamma sources (bottom) at 1.0 kV/cm drift field. daughter recoils for Xe nuclei at 56 keV is higher than that of alphas at 5.5 MeV. This is in conflict with what we observe in the relative ionization yields, indicating 4 that only modest fields are needed for the background- 103 discriminating measurement of nuclear recoils. n) o cr mi102 Background Discrimination: The different values V/ of S2/S1 between nuclear recoils and electron recoils e k Xe (101 makeliquidxenonanexcellenttargettodiscriminatebe- L tween these two types of interaction. Acceptance win- n x i dows for nuclear recoils were defined from the neutron E/d100 ele. rec., ESTAR elastic recoil band as shown in Fig. 1 and 2. The re- d alphas, ASTAR nuc. rec., SRIM jection of background electron recoils was measured by 10-1 nuc. rec., Hitachi irradiating both detectors with pure gamma ray sources 100 101 102 103 104 (133Ba or 137Cs), which produce low energy electron re- Energy (keV) coils from Compton scatters, and recording the number FIG. 5: Predicted electronic stopping power, dE/dx, for dif- of electron recoils outside of 50% acceptance nuclear re- ferent particles in LXe. The circles indicate the particle en- coil windows. The Columbia detector, with higher S1 ergies discussed in thetext. light collection, achieved an electron recoil rejection effi- ciency of 98.5% independent of energy down to 20 keVr at2 kV/cmdrift field. This efficiency appearsto be lim- that the higher ionization yield of a low energy Xe re- ited by charge loss at the edge of the detector where the coil compared to an alpha is due to the different track field was non-uniform (no field shaping rings were used geometriesforthesetwoparticles. Recombinationforal- in this prototype). The rejection efficiency in the Case phasis enhancedbecauseoftheir cylindricaltrackshape detectorimprovedwithincreasingenergy(becauseofthe with a very dense core and a ”penumbra” of delta rays. non-optimal light collection) and was better than 99.5% SRIM simulations show that nuclear recoil tracks have above80keVr,presumablyduetoabetterfieldgeometry many branches, with most energy lost by secondary re- with closer electrodes and better S2 resolution. The re- coils. Each of these secondary branches presumably end jection efficiency improves with higher drift field (in the inaverysparsetracksince the stoppingpowerfalls with Casedetector,e.g.,from91%at0.2kV/cmto97%at4.6 energy. This may result in a low-density halo of ioniza- kV/cm for 35 keVr). With an optimized field configura- tion around the track, which does not recombine even tion, and with the XY position sensitivity of a LXeTPC at very low fields. If this lack of recombination extends as proposed for the XENON experiment [3], the prob- to zero field, it would explain the difference between the lem of edge events should be negligible. The dual phase measured scintillation yield for nuclear recoils and the xenontechniquethusappearsverypromisingforalarge- Lindhard prediction. The importance of the track ge- scale detector with powerful electron recoil background ometriesis alsoseenin the striking contrastbetweenthe discriminationfora sensitiveWIMP darkmatter search. field dependence of nuclear recoils and those of electrons and alphas (bottom graph of Fig. 4), though electrons The authors wouldlike to thank A. Hitachifor insight have a much lower, and alphas a comparable stopping and discussion on particle interaction in LXe. TS would power to nuclear recoils. Our new finding of the weak like to thank K. McDonald and C. Lu for advice and field dependence for nuclear recoils in LXe has the im- support. This work was funded by NSF grants PHY-03- portant practical consequence for dark matter detection 02646 and PHY-04-00596. [1] R.J.Gaitskell, Ann.Rev.Nucl.Part.Sci.54,315(2004). (2000). [2] CDMS Collaboration, D. S. Akerib et al., (2005), [13] R. Bernabei et al., Phys. Lett. B389, 757 (1996). astro-ph/0509259. [14] V. Chepel et al., (2005), physics/0512136. 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