Question

14.2 The scattering amplitude for a certain interaction is given by $f(\theta) = \frac{1}{k}(e^{ika}\sin ka + 3ie^{i2ka}\cos \theta)$ where $a$ is a characteristic length of the interaction potential and $k$ is the wavenumber of incident particles. (a) What is the S-wave differential cross section for this interaction? (b) Suppose that the above scattering amplitude is appropriate to neutrons incident on a species of nuclear target. Let a beam of 1.3-eV neutrons with current $10^{14} cm^{-2}s^{-1}$ be incident on this target. What number of neutrons per second are scattered out of the beam into $4\pi \times 10^{-3}$ steradian about the forward direction?

          14.2 The scattering amplitude for a certain interaction is given by
$f(\theta) = \frac{1}{k}(e^{ika}\sin ka + 3ie^{i2ka}\cos \theta)$
where $a$ is a characteristic length of the interaction potential and $k$ is the wavenumber of incident
particles.
(a) What is the S-wave differential cross section for this interaction?
(b) Suppose that the above scattering amplitude is appropriate to neutrons incident on a
species of nuclear target. Let a beam of 1.3-eV neutrons with current $10^{14} cm^{-2}s^{-1}$ be incident
on this target. What number of neutrons per second are scattered out of the beam into $4\pi \times 10^{-3}$
steradian about the forward direction?

14.2 The scattering amplitude for a certain interaction is given by
f(θ) = (1)/(k)(e^ikasin ka + 3ie^i2kacosθ)
where a is a characteristic length of the interaction potential and k is the wavenumber of incident
particles.
(a) What is the S-wave differential cross section for this interaction?
(b) Suppose that the above scattering amplitude is appropriate to neutrons incident on a
species of nuclear target. Let a beam of 1.3-eV neutrons with current 10^14 cm^-2s^-1 be incident
on this target. What number of neutrons per second are scattered out of the beam into 4π× 10^-3
steradian about the forward direction?

Added by David J.

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