Particles and Astrophysics by Maurizio Spurio

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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