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A&A 413, 489-503 (2004)
DOI: 10.1051/0004-6361:20031558
Log-parabolic spectra and particle acceleration in the BL Lac object Mkn 421: Spectral analysis of the complete BeppoSAX wide band X-ray data set
E. Massaro1, 2, M. Perri1, 3, P. Giommi3 and R. Nesci11 Dipartimento di Fisica, Universitá La Sapienza, Piazzale A. Moro 2, 00185 Roma, Italy
2 IASF - Sezione di Roma, CNR, via del Fosso del Cavaliere, 00113 Roma, Italy
3 ASI Science Data Center, ESRIN, 00044 Frascati, Italy
(Received 21 May 2003 / Accepted 18 September 2003)
Abstract
We report the results of a new analysis of 13 wide band BeppoSAX observations
of the BL Lac object Mkn 421. The data from LECS, MECS and PDS,
covering an energy interval from 0.1 to over 100 keV, have been used to
study the spectral variability of this source. We show that the energy
distributions in different luminosity states can be fitted very well by a log-parabolic
law
, which provides good estimates
of the energy and flux of the synchrotron peak in the SED.
In the first four short observations of 1997 Mkn 421 was characterized by a very
stable spectral shape, with average values
a=2.25 and
b=0.45, independently
of the source brightness and of the fact that the source luminosity was increasing or decreasing.
In the observations of 1998 smaller values for both parameters,
and
0.34, were found and the peak energy in the SED was in the range 0.5-0.8 keV.
The observations of May 1999 and April-May 2000 covered runs of
a duration of several days and provided a very high number of events for all the
instruments. The resulting spectral fits were then limited by
some instrumental systematics. Also in these cases, the log-parabolic model gave a satisfactory
description of the overall SED of Mkn 421. In particular, in the observations of
spring 2000 the source was brighter than the other observations and showed a
large change of the spectral curvature. Spectral parameters estimates gave
and
0.19 and the energy of the maximum in the SED moved to
the range 1-5.5 keV.
We give a possible interpretation of the log-parabolic spectral model in terms of
particle acceleration mechanisms. An energy distribution of emitting particles
with curvature close to the one observed can be explained by a simple model for statistical
acceleration with the assumption that the probability for a particle to increase
its energy is a decreasing function of the energy itself.
A consequence of this mechanism is the existence of a linear
relation between the spectral parameters
a and
b, well confirmed by the estimated
values of these two parameters for Mkn 421.
Key words: radiation mechanisms: non-thermal -- galaxies: active -- galaxies: BL Lacertae objects: individual: Mkn 421 -- X rays: galaxies
Offprint request: E. Massaro, enrico.massaro@uniroma1.it
SIMBAD Objects in preparation
© ESO 2004
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