A proton beam is stopped inside a target of enriched (molar mass )

PHYSICS · Subjective · Fermi University Physics · Nuclear Physics · Nuclear reactions · Nuclear reactions

The Nucleus Resolved, Ch Reactions: four-vectors, amplitudes and partial waves

Problem

A proton beam is stopped inside a target of enriched 63Cu^{63}\mathrm{Cu} (molar mass M=63.0 g mol−1M = 63.0\,\mathrm{g\,mol^{-1}}), driving the reaction 63Cu(p,n)63Zn^{63}\mathrm{Cu}(p,n)^{63}\mathrm{Zn}. Over the energy range spanned as the beam slows in the target, the excitation function averages to σˉ=30 mb\bar\sigma = 30\,\mathrm{mb}, and the mass range difference between the entrance and stopping energies is ΔR=∫dE / [(−dE/dx)/ρ]=0.12 g cm−2\Delta R = \int \mathrm{d}E \,/\,[(-\mathrm{d}E/\mathrm{d}x)/\rho] = 0.12\,\mathrm{g\,cm^{-2}}. Calculate the yield YY in reactions per incident proton.

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