A Time-dependent Leptonic Model for Microquasar Jets: Application to LS I +61 303

The Galactic high-mass X-ray binary and jet source (microquasar) LS I +61 303 has recently been detected at TeV γ-ray energies by the MAGIC telescope. We have applied a time-dependent leptonic jet model to the broadband spectral energy distribution (SED), and we have suggested (although not unambiguously detected) an orbital modulation of the very high energy (VHE) γ-ray emission of this source. Our model takes into account the time-dependent electron injection and acceleration, and the adiabatic and radiative cooling of nonthermal electrons. It includes synchrotron, synchrotron self-Compton (SSC), and external inverse Compton (EC; with seed photons from the companion star) emission as well as γγ absorption of γ-rays by starlight photons. The model can successfully reproduce the available multiwavelength observational data. Our best fit to the SED indicates that a magnetic field of B₀~5×10³ G at ~10³R_g is required and that electrons need to be accelerated out to TeV energies (γ₂=10⁶) with a nonthermal injection spectrum with a spectral index of q=1.7, indicating the operation of acceleration mechanisms beyond the standard first-order Fermi mechanism at relativistic or nonrelativistic shocks. The orbital modulation of the VHE γ-ray emission can be explained solely by the geometrical effect of changes in the relative orientation of the stellar companion with respect to the compact object and jet as it impacts the position and depth of the γγ absorption trough. Such a scenario predicts a trend of spectral hardening during VHE γ-ray low orbital phases.