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 dN/dt = lopNAT/m, where I is the beam current (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.

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1 Suppose a beam of particles with flux o 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
dN/dt
(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.
IopNAT/m, where I is the beam current
Transcribed Image Text:1 Suppose a beam of particles with flux o 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 dN/dt (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. IopNAT/m, where I is the beam current
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