Particles and Astrophysics by Maurizio Spurio
Author:Maurizio Spurio
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham
(8.7)
Neutral pions decay into -rays, via the process:
(8.8)
while the mesons undergo the decay chain:
(8.9)
The energy escaping from the source is therefore shared among high-energy protons (CRs), -rays and neutrinos produced by the decay of neutrons, and (), respectively.
To be observed, this energy partition between CRs, -rays and neutrinos requires the source to be transparent enough. A transparent source is defined as a source of a much larger size that the proton mean free path, but smaller than the meson interaction length. For these sources, protons have a large probability of interacting once, and most secondary mesons can decay.
Under these conditions, the mechanisms that produce CRs produce also neutrinos, Eq. (8.9) and high-energy photons, Eq. (8.8), and the candidate neutrino sources are in general also -ray sources. In this hadronic model there is a strong relationship between the spectral index of the CR energy spectrum , and that of -rays and neutrinos. As derived in Sect. 11.2, the spectral index of secondary mesons (when their interaction processes can be neglected) is identical to that of the parent primary CRs. The same holds for the pion daughters (-rays and neutrinos) and thus:
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