Scintillation efficiency measurement of Na recoils in NaI(Tl) below the DAMA/LIBRA energy threshold

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Scintillation efficiency measurement of Na recoils in NaI(Tl) below the DAMA/LIBRA energy threshold Jingke Xu, Princeton (now @LLNL) Sept 24, 2015 2015 LowECal Workshop, Chicago, IL

Outline 1. Overview of the NaI(Tl) quenching experiment Scientific Motivation The NaI(Tl) neutron scattering experiment Results and Implications 2. Technical Discussions on this measurement Uncertainty sources and mitigation What was done right in this measurement What could have been done better 3. Conclusion Xu et al, Phys. Rev. C 92, 015807 http://dx.doi.org/10.1103/physrevc.92.015807 2

Motivation the DAMA controversy Have we detected dark matter yet? DAMA says yes, others say no. 3

Motivation the DAMA controversy Have we detected dark matter yet? DAMA says yes, others say no. 4

Motivation Quenching in NaI(Tl) DAMA reported scintillation quenching factors of 0.3 and 0.09 for Na and I respectively (252Cf calibration, spectral fit). Conflicting results from other energy-dependent measurement in the DAMA energy region of interest 5

Experimental setup Goal: ~5% measurement 5-50 kevnr Na recoils Reliable Na nuclear recoil calibration for NaI(Tl) experiments Features: Low energy neutrons Pulsed beam, neutron tagging (double-tof methods) Small NaI(Tl) crystal (low multiple scattering) High light yield Low energy threshold PSD methods Multiple angles measured at the same time 6

Event selection Time of flight TOF1: time of flight from LiF to NaI(Tl) TOF2: time of flight from LiF to liquid scintillator (LS) neutron detectors Vertical bands: LiF gammas LiF neutrons (in NaI(Tl)) Horizontal band: LiF gammas (in LS detectors) Box (blue): Neutron induced nuclear recoils! 7

Energy calibration (in-run) Neutron inelastic scattering on 127I (57.6keV gamma) Provide in-run energy calibration Monitor and correct light yield Advantages: In-run calibration Uniform distribution in NaI(Tl) Sharp peak 8

Neutron scattering simulation Simulation package: Geant4.9.6.p3 (custom-built user interface) 80 processors x 300 hours = >10 billion neutron events (<4 degrees) Hits recorded in NaI(Tl): 1.Na recoils 2.I recoils 3.Neutrons below production threshold 4.Gamma/e (inelastic) 5.Mixture of above Single Na recoils dominate the signal region! 9

Quenching factor evaluation Fit observed Na recoil spectra to simulation around the peak region. Uncertainties will be discussed in details later. 10

Na quenching results 11

Implications of new Na quenching results Light WIMP fit is disfavored. χmin/n.d.f. = 38/18, P < 0.01 DAMA/LIBRA signal is not compatible with the standard WIMP picture. Best fit at high mass WIMP predicts a total rate higher than observed. KIMS ruled out the DAMA/LIBRA heavy WIMP model-independently using CsI crystals. 12

Technical Discussions 13

Uncertainties in the measurement 1. Statistic uncertainties: event rate 2. Systematic uncertainties p beam LiF NaI Choice of proton/neutron energy Protons energy loss in LiF Li(p,n)Be neutrons have angular & energy spreads ndet Gamma backgrounds from LiF target NaI(Tl) and ndets have finite sizes Scattering angle has spreads Multiple scattering exists: Na, I, Na+Na, Na+I Background event contaminations 14

Beam-related Uncertainties Beam facility: Tandem accelerator at the Notre Dame University Statistical uncertainty: Pulse intensity: ~ 60,000 protons/pulse (20nA) Proton energy chosen: 2.44 MeV (σ [p-n] & σ [n-na]) LiF target thickness: 0.52 mg/cm2 Systematic uncertainties: Neutron energy spread (from LiF thickness): ~700+/- 35 kev Gamma background: Tantalum backing to absorb proton with low gamma production Pulse width: ~2ns (TOF uncertainty) Pulse period: 101.5 x N ns (N=6, 8) reduce pileups 15

Proton energy loss in LiF Protons lose up to ~70 kev energy in LiF before Li(p,n)Be Neutron energy: 700 +/- 35 kev Simulation agrees with NIST pstar data 16

Pure neutron scattering? Not only neutrons! 1. 7Li excitation (478keV) 2. 19F excitation (197keV, 89 ns half life) 3. 23Na excitation (440keV) 4. 127I excitation (203keV) 5. 127I excitation (58keV) 6. 23Na recoils 1 2 3 4 5 6 Continuous gamma background not labelled. 17

Detector-related uncertainties Large NaI(Tl) crystals give high event rate but high uncertainty. Uncertainty mitigations: 1 NaI(Tl) crystal 3 high Q.E. PMT High reflectivity reflectors Thin wall enclosure hollow supporting structure 18

Detector Layout uncertainties Keep angular uncertainty at <5% while allowing high rate and TOF LiF NaI(Tl) distance: 0.5m (1st run), 0.91m (2nd run) NaI(Tl) ndet distance: ~0.5m (2 ndet) up to 2m (5 ndet) 19

Summary of Uncertainties Uncertainties included in the final analysis: 1. Directly from spectral fit: ~1-3% 2. Varying spectral fit ranges: <3% 3. Light yield calibration: ~ 1.5% (57.6 kev ϒ) 4. Detector position: determined by kinematics, 3-12% Overall uncertainty for Na recoil > 10 kevr: ~5% as expected 20

What we did right Rate calculation Factors to consider in the event rate calculation: 1. Proton beam luminosity, and pulse selector condition 2. Li(p,n)Be yield, LiF thickness 3. Li(p,n)Be neutron angular distribution 4. n 23Na scattering cross section 5. n 23Na scattering kinematics 6. LS detector neutron detection efficiency 7. Trigger/cut efficiencies Our calculation was within a factor of 3 compared to observation! We also managed to make the ~5% uncertainty measurement with 2 days of beam a good compromise between rate and uncertainty. 21

What we did right PSD in NDs Low energy recoil spectrum suffers from noise. LS neutron detectors have good pulse shape discrimination capability! 22

What we did right Trigger efficiency Low energy events may not trigger the DAQ (~1.5 p.e. threshold) Method: to record NaI(Tl) pulses of variable heights together with the corresponding discriminator output. 23

What can be better Trigger Threshold Trigger threshold was limited by 1) low PMT gain (10 stage PMT chosen for high Q.E.) and 2) discriminator capability. With a lower threshold, we may have observed 1) lower energy Na recoils, and 2) elastic I recoils (~5x lower recoil energy). 24

What can be better Detector positions Largest uncertainty in the measurement comes from 1. Uncertainties in the detector positions 2. Spread of scattering angle for small-angle scattering events 25

Conclusion Neutron scattering spectrometry is a powerful tool to calibrate detector response to nuclear recoils Neutron TOF is powerful in rejecting backgrounds Pulsed neutron facility can provide additional TOF Pulse shape analysis can select clean neutron events Multiple scattering needs to be suppressed as much as possible Monte Carlo simulations can be used to refine the kinematics For more information, refer to: Xu et al, Phys. Rev. C 92, 015807 http://dx.doi.org/10.1103/physrevc.92.015807 26

Backup Slides 27 27

Controversy about DAMA/LIBRA Assumptions in standard WIMP sensitivity calculation: Standard WIMP halo Local WIMP density ~0.3 GeV/cm3 (perfect halo) Only 1 WIMP species Maxwellian velocity distribution (WIMPs in thermal equilibrium) Galactic velocity (v0~220 km/s, vesc~600km/s) Standard WIMP-nucleon interaction Equal cross section to protons and neutrons May or may not have spin-exchange Coherent scattering (nuclear form factor) Which of these assumptions are known? NONE! Model-independent test of DAMA/LIBRA 2015 LowECal, Chicago, IL is necessary. 28

Beam neutron generation Database: Burke 1974 paper 1. Randomly sample proton energy and angle 2. Randomly generate out-coming neutron angle 3. Calculate neutron energy 4. Weigh this neutron with the Li(p,n)Be cross section Neutron energy has a similar ~70keV spread Only simulate <4o neutrons (verified with simulations) 29 29

Electronics and DAQ Trigger: NaI(Tl) && (Σ ndet) Coincidence window: 400 ns, to include maximum TOF Trigger threshold: ~1.5 photoelectron Digitizer: CAEN V1720E, 250MS/s, 12 bit, loop buffer DAQ window: (-2, 6) μs DAQ software: custom built Online analysis: TOF spectra Energy spectra of coincidence events 30 30

Waveform example DAMA/LIBRA signal region: (2, 6)keVee What is the nuclear recoil energy if it were dark matter interactions? Assumptions in standard WIMP sensitivity calculation: Standard WIMP halo. 31 31