Consider the process p p 0 ( 0 photoproduction) with the proton at rest (a) Find the minimum energy of the photon E The Universe is filled by background electromagnetic radiation at the temperature of T 3 K, and photons with energy E , 3K 1 meV (b) Find the minimum energy E p of the cosmic ray protons needed to induce 0 photoproduction (c) If the cross section, just above threshold, is 0 6 mb and the background photon density is 10 8 m 3 , find the attenuation length Is it small or large on the cosmological scale

Question: Consider the process + p p + 0 ( 0 photoproduction) with the proton at rest. (a) Find the minimum energy of

Consider the process γ + p → p + π⁰ (π⁰ photoproduction) with the proton at rest.

(a) Find the minimum energy of the photon E_γ. The Universe is filled by ‘background electromagnetic radiation’ at the temperature of T = 3 K, and photons with energy E_γ,_3K ≈ 1 meV.

(b) Find the minimum energy E_p of the cosmic-ray protons needed to induce π⁰ photoproduction

(c) If the cross-section, just above threshold, is σ = 0.6 mb and the background photon density is ρ ≈ 10⁸ m^-3, find the attenuation length. Is it small or large on the cosmological scale?

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a s E m p 2 p 2 E m p 2 E 2 m p m 2 116 GeV2 Hence we have E 149 MeV b s ... View full answer

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