Constraints on the Geometry of the VHE Emission in LS 5039 from   Photon-Photon Deabsorption
  A detailed parameter study of the gamma-gamma absorption effects in LS 5039 is presented. For a range of plausible locations of the VHE gamma-ray emission region and the allowable range of viewing angles, the de-absorbed, intrinsic VHE gamma-ray spectra and total VHE photon fluxes and luminosities are calculated and compared to luminosity constraints based on wind accretion onto the compact object in LS 5039. It is found that (1) it is impossible to choose the viewing angle and location of the VHE emission region in a way that the intrinsic (deabsorbed) fluxes and spectra in superior and inferior conjunction are identical; consequently, the intrinsic VHE luminosities and spectral shapes must be fundamentally different in different orbital phases, (2) if the VHE luminosity is limited by wind accretion from the companion star and the system is viewed at an inclination angle of i > 40 deg., the emission is most likely beamed by a larger Doppler factor than inferred from the dynamics of the large-scale radio outflows, (3) the still poorly constrained viewing angle between the line of sight and the jet axis is most likely substantially smaller than the maximum of ~ 64 deg. inferred from the lack of eclipses.(4) Consequently, the compact object is more likely to be a black hole rather than a neutron star. (5) There is a limited range of allowed configurations for which the expected > 1 TeV neutrino flux would actually anti-correlate with the observed VHE gamma-ray emission. If hadronic models for the gamma-ray production in LS 5039 apply, a solid detection of the expected VHE neutrino flux and its orbital modulation with km^3 scale water-Cherenkov neutrino detectors might require the accumulation of data over more than 3 years. 
Markus Boettcher