On the detection prospects of the neutrino flux from Centaurus A and the associated diffuse neutrino flux

Recently Cuoco and Hannestad have presented estimates for the neutrino flux of Centaurus A under the assumption that two out of the 27 highest energy cosmic-ray events observed by the Pierre Auger collaboration can be attributed to this galaxy. In this work we elaborate on this assumption and estimate the diffuse neutrino flux assuming that all cosmic-ray sources are similar to Centaurus A. Within the source model adopted in this work we find that AMANDA-II may be sensitive to the diffuse neutrino flux at ultra-high energies. Independent of the underlying source model, we predict that the diffuse neutrino flux will be detected before the neutrino flux from Centaurus A if the environment of Centaurus A is representative for ultra-high-energy cosmic-ray sources. Conversely, the observation of neutrinos from Centaurus A without an accompanying diffuse flux would imply that neutrino production in Centaurus A is much more efficient than in typical ultra-high-energy cosmic-ray sources.