Modeling the spectrum and composition of ultrahigh-energy cosmic rays with two populations of extragalactic sources
Saikat Das (Astronomy and Astrophysics Group, Raman Research Institute, Bengaluru, 560080, India); Soebur Razzaque (Centre for Astro-Particle Physics (CAPP) and Department of Physics, University of Johannesburg, Auckland Park, 2006, South Africa); Nayantara Gupta (Astronomy and Astrophysics Group, Raman Research Institute, Bengaluru, 560080, India)
We fit the ultrahigh-energy cosmic-ray (UHECR, $$E\gtrsim 0.1$$ EeV) spectrum and composition data from the Pierre Auger Observatory at energies $$E\gtrsim 5\cdot 10^{18}$$ eV, i.e., beyond the ankle using two populations of astrophysical sources. One population, accelerating dominantly protons ( $$^1$$ H), extends up to the highest observed energies with maximum energy close to the GZK cutoff and injection spectral index near the Fermi acceleration model; while another population accelerates light-to-heavy nuclei ( $$^4$$ He, $$^{14}$$ N, $$^{28}$$ Si, $$^{56}$$ Fe) with a relatively low rigidity cutoff and hard injection spectrum. A significant improvement in the combined fit is noted as we go from a one-population to two-population model. For the latter, we constrain the maximum allowed proton fraction at the highest-energy bin within 3.5 $$\sigma $$ statistical significance. In the single-population model, low-luminosity gamma-ray bursts turn out to match the best-fit evolution parameter. In the two-population model, the active galactic nuclei is consistent with the best-fit redshift evolution parameter of the pure proton-emitting sources, while the tidal disruption events could be responsible for emitting heavier nuclei. We also compute expected cosmogenic neutrino flux in such a hybrid source population scenario and discuss possibilities to detect these neutrinos by upcoming detectors to shed light on the sources of UHECRs.