Suppose a beam of particles with flux is incident on a uniform target of thickness T and density p (mass/volume). Assuming that the atoms in the target do not block one another (the thin-target approxima- tion), show that the reaction rate dN/dt is given by IopNAT/m, where I is the beam current up/NP (i.e., the integral of the flux over the area of the beam), m is the molecular mass of the target, NA is Avogadro's number, and o is the reaction cross section.

Suppose a beam of particles with flux is incident on a uniform target of thickness T and density p (mass/volume). Assuming that the atoms in the target do not block one another (the thin-target approxima- tion), show that the reaction rate dN/dt is given by IopNAT/m, where I is the beam current up/NP (i.e., the integral of the flux over the area of the beam), m is the molecular mass of the target, NA is Avogadro's number, and o is the reaction cross section.