Neutron beam hitting Uranium 238 foil

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SUMMARY

The discussion focuses on calculating the attenuation of a high-energy neutron beam interacting with a Uranium-238 foil. The neutron beam has an intensity of 10^6 s^-1, and the foil has a density of 10^-1 kg m^-2. The elastic and inelastic cross-sections are given as 1.4 b and 2.0 b, respectively. The calculations involve determining the macroscopic cross-section, Σ, using the microscopic cross-section, σ, and the atomic density, which is essential for evaluating the attenuation, rate of elastic reactions, and the flux of elastically scattered neutrons 5 m from the target.

PREREQUISITES
  • Understanding of neutron beam physics
  • Knowledge of cross-section terminology (elastic and inelastic)
  • Familiarity with macroscopic and microscopic cross-sections
  • Basic principles of scattering theory
NEXT STEPS
  • Study the derivation of the macroscopic cross-section, Σ, from the microscopic cross-section, σ
  • Learn about neutron scattering techniques and their applications
  • Explore the mathematical models for attenuation in particle physics
  • Investigate the effects of different materials on neutron beam interactions
USEFUL FOR

Physicists, nuclear engineers, and students studying particle interactions and neutron scattering techniques will benefit from this discussion.

Steven Brown
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1. Homework Statement [/b]
A high energy beam of neutrons of intensity 10^6 s^-1 transverses a target of 238 U of thin foil whose density per unit area is 10^-1 kg m^-2. If the elastic and in elastic cross-sections are 1.4 and 2.0 b, respectively, calculate(a) the attenuation of the beam(b) the rate of elastic reactions and(C) the flux of elastically scattered neutrons 5 m from the target, averaged over all scattering angles.
 
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Given the microscopic cross-section, σ, one should be able to determine the macroscopic cross-section, Σ, with knowledge of the atomic density, N or n.

Then what is the formula for attentuation based on Σ?

Note that one has σi (inelastic) and σe (elastic). Both contribute to attenuation, but parts b and c ask about elastically scattered neutrons.
 

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