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This study investigates the possibility of pulsars as a source for the observed cosmic ray electron/positron data. It analyzes the effects of continuous electron/positron injection from astrophysical objects on the observed electron/positron spectrum and examines the constraints already placed by H.E.S.S. on pulsar models. High-resolution spectra from future missions may help discriminate between different models.
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Continuous Injection of High Energy Positrons from an Astrophysical Object: Can a Pulsar Account for the Cosmic Ray Electron/Positron Data? Norita Kawanaka Kunihito Ioka & Mihoko M. Nojiri (KEK, Japan) Rencontres de Moriond 04/02/09
Positron Excess: PAMELA • Observed positron flux seems to exceed that expected in the context of secondary positron production. • Similar trend had been observed (AMS, HEAT etc.) • Some primary sources are needed! ~1-100GeV (Adriani et al. 2008)
ATIC/PPB-BETS ~10GeV-3TeV (Chang et al. 2008) Sharp spectral cutoff around ~600GeV m~600GeV dark matter annihilation/decay?
H.E.S.S. ~1-10TeV (H.E.S.S. collaboration 2008)
Astrophysical source(s)? • Electrons/Positrons are cooled via synchrotron & inverse Compton scattering during the propagation. • electron energy~10GeV-1TeV Sources should be within Rd~kpc (< Galactic disk~10kpc) • diffusion time~Rd2/K ~107yr (~birth rate of the source) • Etot ~1050 erg is needed. (Lavalle et al. 2007)
Candidates • Pulsars e± pairs are produced in the magnetosphere and accelerated by the electric fields and/or the pulsar wind. (Chi+ 1996; Zhang & Cheng 2001; Grimani 2007; Hooper+ 2008; Profumo 2008 etc.) • Gamma-Ray Bursts Pair creations between TeV photons and soft photons (~eV) far outside the GRB remnant (Ioka 2008) • Microquasars Pair creations in the internal shock in the jet? (Heinz & Sunyaev 2002 etc.) • and so on…
e± propagation • Diffusion equation injection diffusion cooling (synchrotron, IC) Green’s function with respect to r and t (Atoyan+ 1995) This is just the observed spectrum in the case of a transient point source (e.g. GRB)
The case of transient source (e.g. GRB) t=5.6x105yr … age r=1kpc Etot=1x1050erg a=1.8 ? Epeak~1/bt~600GeV
Continuous injection (expected in pulsars, MQs, etc.) The spectral peak around Ee~1/bt will be broadened! Case 1:pulsar-type decay cf.) Case 2:exponential decay
Results: Electron/Positron Flux solid line :exponential decay (t0~105yr) thick: total (source+2nd) DE: effect of finite t0 pure secondary t=5.6x105yr r=1kpc Etot=2x1050erg a=1.4 Emax=3TeV K0=3.2x1028cm2s-1 d=0.6 transient source Epeak~1/bt~600GeV (NK, Ioka and Nojiri in prep.) pure source
Spin down time should not be too long? * A significant fraction of observed electrons are emitted recently. pulsar type: t0=105yr t=5.6x105yr r=1kpc Etot=2x1050erg a=1.4 Emax=3TeV K0=3.2x1028cm2s-1 d=0.6 H.E.S.S. pulsar type: t0=104yr (NK, Ioka and Nojiri in prep.) pure source
Young pulsars should not have any contribution? • Why so rare? • Local birth rate is intrinsically low? • HE pairs are confined in the pulsar wind nebula? • Most pulsars have lower Etot (<2×1050 erg)? (= P0 >~10msec) • Only the pulsars with low B (=long tau0) and low Emax (avoiding HE tail) should contribute? H.E.S.S. t=3.0x104 yr r=1 kpc Etot=6x1047 erg a=1.4 (NK, Ioka and Nojiri in prep.)
Results: Positron Fraction Total contribution from old pulsars (birth rate~1 per 5x105yr) thin solid lines: old pulsars with a=1.4 thin dashed lines: a=1.6 (NK, Ioka and Nojiri in prep.)
Summary • We investigate the effects of continuous electron/positron injection from astrophysical objects on the observed electron/positron spectrum. • Epeak tage of the source • DE @ Epeak the duration of electron injection • Assuming pulsar spin down type injection, high energy tail in the electron spectrum would be enhanced if t0 is long. H.E.S.S. has already put serious constraints on pulsar models? • High resolution spectra will be obtained by Fermi, CALET etc., and we may be able to discriminate models.