Observe Gamma-Rays and Neutrinos Associated with Ultra-High Energy Cosmic Rays
Qinyuan Zhang, Xishui Tian, Zhuo Li

TL;DR
This paper explores the potential of gamma-ray and neutrino observations to identify the sources of ultra-high energy cosmic rays, proposing methods to detect and constrain their origins.
Contribution
It introduces a framework to estimate detection probabilities of UHECR sources via gamma-ray and neutrino observations, guiding future observational strategies.
Findings
Detection probability per UHECR is ~10% with current sensitivities.
Future observatories can significantly constrain UHECR source densities.
Observations can potentially identify the sources of UHECRs.
Abstract
IceCube measures a diffuse neutrino flux comparable to the Waxman-Bahcall bound, which suggests the possibility that the ultra-high energy cosmic rays (UHECRs) have a common origin with diffuse high energy neutrinos. We propose high energy gamma-ray and/or neutrino observations toward the arrival directions of UHECRs to search for the sources and test this possibility. We calculate the detection probability of gamma-ray/neutrino sources, and find that the average probability per UHECR of >10 EeV is 10% if the sensitivity of the gamma-ray or neutrino telescope is 10 erg cms and the source number density is 10 Mpc. Future gamma-ray and neutrino observations toward UHECRs, e.g., by LHAASO-WCDA, CTA, IceCube/Gen2, are encouraged to constrain the density of UHECR sources or even identify the sources of UHECRs.
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