Abstract. We discuss the possibility of explaining the extraordinary, correlated Xray/TeV flares observed during April 1997 from Mrk 501, by synchrotron-pair cascades injected by synchrotron radiation from ultra-high energy protons and muons. Evaluating the jet conditions required to explain the observed features of the flares, the allowed region for this model in the parameter space of jet magnetic field and Doppler factor is identified, and compared with the parameter choices of other, both hadronic and leptonic models presented in the literature. The present model requires magnetic fields similar to other hadronic models for gamma-ray blazars (B > ∼ 30 G), but a lower Doppler factor (D ≈ 3).
I CORRELATED FLARES AND THEIR EXPLANATIONIn April 1997 the Beppo-SAX team observed X-ray flares from Mrk 501 [1], which are extraordinary in at least two respects: (a) they extend to energies beyond 200 keV, and (b) they show an extremely flat spectrum, in one case with a power law flux index α x ≈ 0.5. Simultaneously, the Whipple and HEGRA Cherenkov telescopes observed correlated flares in the TeV band [2]. Integrating over a larger time window, both found that the high energy emission during this period has extended on average up to at least 20 TeV [3], but with a significant curvature consistent with an exponential cutoff at ∼ 5 TeV. The most common way to explain this emission is the synchrotron-self Compton (SSC) model, which naturally expects correlated variability because both the X-ray and the TeV component are radiated by the same population of particles (electrons). Another appealing possibility seems, to explain the high energy emission as synchrotron radiation from ultra-high energy (UHE) protons, while the X-rays are produced by co-accelerated electrons [4,5]. However, both models share the problem to explain the hard X-ray spectral index, which requires an electron injection spectrum dN e /dE ∝ E −1 [1] (this is because synchrotron cooling steepens the stationary electron spectrum by one power compared to the injection spectrum). However, the Fermi shock acceleration mechanism, commonly assumed to energize the particles in the jets, cannot produce such hard spectra (the limit is dN/dE ∝ E −1.5 [6]), and convincing alternatives for electron acceleration to TeV energies in jets have not been suggested jet.