The TeV energy spectrum of Markarian 501 measured with the stereoscopic telescope system of HEGRA during 1998 and 1999

During 1997, the BL Lac object Mrk 501 went into an extraordinary state of high X-ray and TeV gamma-ray activity, lasting more than 6 months. In this paper we report on the TeV emission characteristics of the source in the su bsequent years of 1998 and 1999 as measured with the stereoscopic Cherenkov telescope system of the High-Energy Gamma-Ray Astronomy (HEGRA; La Palma, Canary Islands). Our observations reveal a 1998-1999 mean emission level at 1 TeV of 1/3 of the flux of the Crab Nebula, a factor of 10 lower than dur ing the year of 1997. A data set of 122 observation hours with the HEGRA te lescope system makes it possible to assess for the first time the Mrk 501 T eV energy spectrum for a mean flux level substantially below that of the Cr ab Nebula with reasonable statistical accuracy. Excluding the data of a str ong flare, we find evidence that the 1998-1999 low-flux spectrum is substan tially softer (by 0.44 +/- 0.1(stat) in spectral index) than the 1997 time- averaged spectrum. The 500 GeV to similar or equal to 10 TeV energy spectru m can well be described by a power-law model with exponential cutoff dN/dE proportional to E-alpha exp(-E/E-o), with alpha = 2.31 +/- 0.22(stat) and E -o = 5.1)(-2.3)(+7.8))(stat) TeV. Within statistical accuracy, a pure power -law model also gives an acceptable fit to the data: dN/dE proportional to E-Gamma, with Gamma = 2.76 +/- 0.08(stat). After presenting the 1998-1999 T eV characteristics of the source, we discuss the implications of the result s.