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Search for Very High Energy Gamma Ray Emission from Pulsars with H.E.S.S. presented by Till Eifert Humboldt University Berlin. Research Seminar WS 2005/06, Experimental High Energy Physics. Outline. Pulsars H.E.S.S. Experiment Timing Analysis Results. Outline. Pulsars
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Search for Very HighEnergy Gamma Ray Emission from Pulsars withH.E.S.S. presented by Till Eifert Humboldt University Berlin Research Seminar WS 2005/06, Experimental High Energy Physics
Outline • Pulsars • H.E.S.S. Experiment • Timing Analysis • Results
Outline • Pulsars • H.E.S.S. Experiment • Timing Analysis • Results
What is a Pulsar? ~ cosmic light house • rapidly spinning Neutron Star (NS) • Why is it pulsing? because it’s rotating • What is emitted? spectrum goes from radio waves to visible light to gamma rays
What is a Pulsar? Crab Pulsar, recorded in X-Rays • rapidly spinning Neutron Star (NS) • Why is it pulsing? because it’s rotating • What is emitted? spectrum goes from radio waves to visible light to gamma rays Beam aligned Beam misaligned
First observation of pulsars Motivation • Pulsar discovery: 1967 by Jocelyn Bell & Anthony Hewish (radio waves) Today .. visible light, X-rays up to low gamma rays … • But Pulsed VHE emission not detected (yet) !?! • Unique opportunity to learn: How do pulsars work? What pulsar model is correct?
time Star Mass: ~ 8-10 MSolar Radius: ~ 108 m Rotational period: ~ 26 days Gravitational collapse Star Neutron Star Formation
time Supernova explosion Supernova remnant Neutron star Mass: ~1.4 MSolar Radius: ~10 km Rotational Period: 2ms..8s Star Grav. collapse Supernova Supernova remnant Neutron star Neutron Star Formation
time part of angular momentum carried away by shell BS = O(108T) Star Grav. collapse Supernova Supernova remnant Neutron star Neutron star field lines frozen into stellar plasma Supernova Explosion BS = O(10-2T) (surface field)
Overview Pulsars • Supernova Explosion => Neutron Stars • Fast Rotation (P = 2 ms..8 s) • Emitted radiation (magnetic dipole radiation) • Gradually slowing down (loss of energy)
(Too) Simple Electrodynamics • Eind surface forces 1012 times stronger than gravity (Crab) • Charged particles (e-..) pulled out of surface and accelerated to large energies → Magnetosphere electrically charged
Magnetosphere charge density (P. Goldreich, W.H.Julian: Astrophys. J.157 (1969) 839.) Rotating charge density: Neutral cone at: Herewith, two models: Polar Cap Outer Gap
Observer Magnetosphere Open field lines Polar Cap Model (Sturrock (1971); Ruderman & Sutherland (1975); Harding (1981)) • Polar Cap, r ~ 800 m • e- accelerated at polar caps • gammas via Inverse Compton Curvature+Synchrotron Radiation • but limited by pair production in huge B model predicts super exponential cutoff in the high energy Gamma-ray spectra !
Observer Magnetosphere Open field lines Outer Gap Model (Cheng, Ho & Ruderman (1986); Romani (1996)) • Vacuum gap in outer magnetosphere (B=0) • Same interactions: ICS, Synchrotron, Curvature radiation • But: B field lower (outer gap farther) model allows for IC peak around O(100) GeV !
2 Pulsar Groups Number ”Normal“ Pulsars T > 20 ms Millisecond Pulsars 1 ms < T < 20 ms Crab: T = 33 ms Vela: T = 89 ms log( T / s )
low B ~ 104 -106 T • Mostly in binary systems • Very precise & more complex timing corrections necessary for analysis Sample of Radio Pulsars more than 1500 radio pulsars ~50 X-ray pulsars 7 gamma-ray pulsars ~ 10 GeV +3 candidates Normal pulsars Millisecond pulsars Thompson (2000)
Outline • Pulsars • H.E.S.S. Experiment • Timing Analysis • Results
Detection of Gamma Rays via Cherenkov Light of Air Showers Gamma Ray Particle Shower ~ 10 km 5 nsec Intensity Shower Energy At 100 GeV ~ 10 Photons/m2 (300 – 600 nm) Image Orientation Shower Direction ~ 120 m Image Shape Primary Particle Detection of Cosmic Rays and Gamma Rays Focal Plane Cherenkov Light 120 m
Stereoscopic Observation Technique source position source image is on image axis several viewing angles for precise event-by-event source location!
High Energy Stereoscopic System Stereoscopic Imaging Atmospheric Cherenkov Array • 4 telescopes operational since December 2003 • Energy threshold: 100 GeV (at zenith) • Single shower resolution: 0.1 • Pointing accuracy: ≲ 20 • Energy resolution: ≲15% June 2002 September 2003 February 2003 December 2003
Energy threshold ~ Zenith Angle Zenith 40 deg. At Zenith: Mirror dish collects a faire amount of the Cherenkov light At large ZA: Mirror dish collects only a small fraction of the Cherenkov light →low energy events (faint Cherenkov light) are seen at low ZA only! ~ 10 km Earth
960 pixel PMT camera Pixel size: 0.16° On-board electronics Weight: 800 kg Altitude rail 13m dish, mirror area 107 m2 382 spherical mirrors, f =15m Point spread 0.03°-0.06° Azimuth rail
Camera Light catchers and PMTs closed lid 960 pixels, ∅ 0.16 5 field of view
Outline • Pulsars • H.E.S.S. Experiment • Timing Analysis • Results
Lightcurve and Phasogram Simple beam pattern
Lightcurve and Phasogram Lightcurve Intensity Time Phasogram Fold into 1 rotational phase Intensity Rotational Phase [P] • Averaging periodic signal • Radio: ~2 min smooth phase • VHE: no intensity but single gamma events long averaging essential
Pulse patterns up to ~ 10 GeV Thompson (2000)
How to get the phasogram? • But: observatory is not inertial to pulsar !!! telescopes on rotating Earth Earth orbiting Sun Pulsar accelerating (if binary) • Simply fold event times into phasogram … • Solution: transfer times into Solar System Barycenter (center of mass) and Binary Barycenter as best approx. to inertial frames available!
Analysis of pulsar timing data Given: GPS event time stamp from CentralTrigger intrinsic accuracy of GPS 10 μs Phase of a pulsar waveform depends on: • Spin-down (→ Radio observatories) • Motion of Earth within the solar system (→ barycenter correction) • Orbital motion of the pulsar (→ binary correction)
Barycenter correction t = time of arrival in UTC tb = SSB corrected arrival time ∆tSSB transfer to SSB (Roemer time delay) ∆tE “Einstein delay”(gravitational redshift & time dilation due to motions of the Earth = TDB correction) ∆tS “Shapiro delay”(caused by propagation of the pulsar signal through curved spacetime)
Blandford-Teukolsky (BT) model: • Keplerian ellipse • Newtonian dynamics • Einstein delay patched into model afterwards • additional effects are accommodated by nonzero time derivatives Damour-Deruelle (DD) model: • more general & precise • Roemer time delay • Orbital Einstein and Shapiro delay • Aberration caused by rotation Binary models Position and velocity need to be predicted by binary model! Pulsar in binary system → significant acceleration
Statistical Tests • 2 test flat distribution good for narrow and high peaks weak for wide and small profiles Search for peaks in the phasogram • Z2mprobe sin/cos modes powerful for sinusoidal profiles • Kuiper-Test search max deviation from uniform distribution sensitive for most peak structures
Test of timing corrections ∆tDeviation (H.E.S.S. – Tempo) Old H.E.S.S. timing corrections: • Deviation with respect to radio astronomers tool (TEMPO): ∆t ~ 2 ms O(ms pulsar period) • OK for young pulsars • Not applicable for analysis over long observation period of close ms pulsars • No binary corrections available 2004
Test of (new) timing corrections ∆tDeviation (H.E.S.S. – Tempo) New H.E.S.S. timing corrections: • good agreement (<μs) with radio astronomers tool • Including binary corrections! 2004
Test of (new) timing corrections ∆tDeviation (H.E.S.S. – Tempo) New H.E.S.S. timing corrections: • good agreement (<μs) with radio astronomers tool • Including binary corrections! 2004
Test of timing analysis using Optical Crab Data • Recorded with one H.E.S.S. telescope in Nov. 2003 • ~ 2 min data analyzed and corrected with (new) H.E.S.S. software • Phasogram clearly shows typical two-peak structure • Frequency Scan confirms correct (radio) pulsar frequency Radio frequency
Outline • Pulsars • H.E.S.S. Experiment • Timing Analysis • Results
Young Pulsar analysis results: (Conducted by Fabian Schmidt, HU Berlin 2004-2005) H.E.S.S.
Polar Cap model prediction Harding, A.K., Usov, V. V., Muslimov, A. G., 2005, ApJ, 622, 531 PSR J0437-4715 • Distance ~ 140 pc • P ~ 5.75 ms, dP/dt ~ 10-20 • Low B ~ 108 -1010G • Binary orbit ~ 5.74 days • Low mass companion ~ 0.2 MSolar • No optical brightness variation • Pulsed emission visible in radio, X-rays • GeV emission unknown
PSR J0437-4715 Two phase cycles! X-ray observations Radio observation (Parkes)
Standard analysis to select gamma ray events • Standard background estimation using 7 background regions → Energy threshold ~ 200 GeV Data analysis • ~ 9 hours taken in October 2004 • Zenith angle range: 23.9 – 30 deg • Statistical tests for phasogram: Z2m, Kuiper, Chi2
Timing analysis All energies, DC: 0.4 σ On region OFF regions (summed) ~ flat 907 events Z21 = 5.6 (Prob. 0.06) Z22 = 5.7 (Prob. 0.23) Kuiper = 0.05 (Prob. 0.10) Chi2 = 8.1 (Prob. 0.51) Z21 = 0.7 (Prob. 0.70) Z22 = 0.8 (Prob. 0.94) Kuiper = 0.01 (Prob. 0.94) Chi2 = 7.9 (Prob. 0.54)
Timing analysis, energy bins Energies < 0.5 TeV, DC: 0.5 σ Energies > 0.5 TeV, DC: -0.2 σ On region On region 156 events 751 events Z21 = 6.4 (Prob. 0.04) Z22 = 6.7 (Prob. 0.15) Kuiper = 0.06 (Prob. 0.09) Chi2 = 7.8 (Prob. 0.54) Z21 = 0.2 (Prob. 0.92) Z22 = 2.2 (Prob. 0.70) Kuiper = 0.07 (Prob. 0.93) Chi2 = 4.9 (Prob. 0.84) OFF regions flat
Zenith angle Maximize signal/noise ratio for low energy by using very small zenith angles only DC Significance Energy < 0.5 TeV DC Significance Energy < 0.5 TeV
Final Results On region All energies < 0.5 TeV, zenith angle < 25 deg DC: 2.0 σ 5.6 h livetime Z21 = 9.4 (Prob. 0.009) Z22 = 11.3 (Prob. 0.02) Kuiper = 0.1 (Prob. 0.005) Chi2 = 15.1 (Prob. 0.09) OFF regions flat 414 events
Summary • Pulsars – extreme physics inside • VHE pulsed emission detection still missing! • Timing corrections working in H.E.S.S. (Ready for Pulsar detections) • J0437 … no clear evidence (more data is needed)
H.E.S.S. High Energy Stereoscopic System MPI für Kernphysik, Heidelberg Humboldt-Universität zu Berlin Ruhr-Universität Bochum Universität Hamburg Universität Kiel Ecole Polytechnique, Palaiseau College de France, Paris Universite Paris VI-VII LEA Saclay CESR Toulouse GAM Montpellier LAOG Grenoble Paris Observatory Durham University Dublin Inst. for Advanced Studies Charles University Prag Yerewan Physics Institute North-West University, Potchefstroom University of Namibia, Windhoek
The Future: H.E.S.S. Phase II • Build a large telescope • Improve sensitivity: 4 small 1 large better than 8 small • Reduce threshold to O( 20 GeV ) • Implement robotic operation ( future high altitude site? )
Farm Göllschau, Khomas Hochland, 100 km from Windhoek H.E.S.S. Site 23o16’ S, 16o30’ E, 1800 m asl • Clear sky • Galactic centre culminates in zenith • Mild climate • Easy access • Good local support
~ 120 m Detection Areaof a Cherenkov Telescope about 50000 m2 • good sensitivity up to highest energy ( smallest fluxes )