On the Emission Site of Gamma Rays from Pulsars Hsiang-Kuang Chang and Cheng Ho 徐佩君清華大學天文研究所.

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Presentation transcript:

On the Emission Site of Gamma Rays from Pulsars Hsiang-Kuang Chang and Cheng Ho 徐佩君清華大學天文研究所

Gamma-Ray Pulsars

Their spectra (Thompson et al. 1999)

Models Polar-cap Outer-gap (Harding 2000)

Power-law Spectra (Nolan et al. 1996)

Photon Indices

a steady cooling population of charged particles  Synchrotron radiation P=2 → Γ = 3/2  Curvature radiation P=4 → Γ = 5/3 Assumption

Method radiationcurvaturesynchrotron energy loss rate characteristic energy of the emission cooling time scale dynamical time scale

 The distance of the inferred emission site from the stellar center curvature radiation synchrotron radiation Requiring that at the emission site

Bending Energy (Eb) of PSR B (Matz et al. 1994) ~ 50 keV

Eb of Vela (Strickman et al. 1996) 10~70 MeV

Eb of PSR B (Ray, Harding & Strickman 1999) 10 keV ~ 30 MeV

Eb of PSR B (Chang & Ho 1997; Chang & Guo 2000) 70 keV ~ 3 MeV

Eb of Geminga (Mayer-Hasselwander et al. 1994)(Jackson et al. 2002) 10~30 MeV

Eb of PSR B (Thompson et al. 1999) 1 keV ~ 70 MeV

Determining the emission site (H-K Chang)

Result

Discussion Under the assumption that the gamma-ray emission comes from a steady cooling population of charged particles, the synchrotron radiation in outer magnetospheres as the emission mechanism is consistent with the spectral behavior of most gamma-ray pulsars. Exception: Crab pulsar, PSR B The inverse Compton scattering is not considered in this method

Reference Peter Meszaros, 1992, The University of Chicago Press, “ High-Energy Radiation from Magnetized Neutron Stars ” Harding A. K., 2000, arXiv:astro-ph/ George B. Rybicki, Alan P. Lightman, New York :Wiley,c1979. “ Radiative processes in astrophysics ” Chang H.-K., Guo T.-F., 2000, Chinese Journal of Physics, 38, 429 Chang H.-K., Ho C., 1997, ApJ, 479, L125 Jackson M. S. et al., 2002, ApJ, 578,935 Matz S. M. et al., 1994, ApJ, 434, 288 Mayer-Hasselwander H. A. et al., 1994, ApJ, 421, 276 Nolan P. L. et al., 1996, A&AS, 120, C61 Ray A., Harding A. K., Strickman M., 1999, ApJ, 513, 919 Strickman M. S. et al., 1996, ApJ, 460, 735 Thompson D. J. et al., 1999, ApJ, 516, 297

Thank you !