Understanding Neutron Scattering from Nuclei: Questions and Answers

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SUMMARY

The discussion focuses on neutron scattering from nuclei, specifically analyzing a numerically calculated cross section that exhibits three resonant peaks. These peaks correspond to distinct resonant particles, and the lifetimes of these particles can be determined using the formula h-bar divided by the width of the peaks. The complexity of the cross section arises from the interactions involving higher mass nuclei, and the challenges in obtaining experimental values for resonances at MeV energies are highlighted. Additionally, the discussion raises the question of whether other parameters beyond peak positions, decay widths, and cross sections can be extracted from the graph.

PREREQUISITES
  • Understanding of neutron scattering principles
  • Familiarity with resonant particle physics
  • Knowledge of scattering cross section calculations
  • Basic grasp of quantum mechanics, particularly the concept of h-bar
NEXT STEPS
  • Research the relationship between decay widths and particle lifetimes in quantum mechanics
  • Explore experimental techniques for measuring neutron scattering at MeV energies
  • Learn about the implications of resonant scattering in nuclear physics
  • Investigate advanced topics in scattering theory, such as phase shifts and their role in cross section analysis
USEFUL FOR

Physicists, nuclear engineers, and students studying nuclear interactions and scattering phenomena, particularly those interested in advanced topics in neutron scattering and resonance analysis.

ryanwilk
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Homework Statement



I have a (numerically calculated) cross section for a neutron scattering from a nucleus which looks like:

SW-U-50l9.png


1) Am I correct in saying that there are three resonant peaks and these correspond to three different resonant particles?

2) If so, are the lifetimes of the particles just h-bar divided by the width?

3) Why is this cross section more complicated than neutron scattering from lower mass nuclei?

4) I was unable to find any experimental values for these resonances. Is this because I'm looking at energies in MeV, which is difficult to do experimentally?

5) Other than peak positions, decay widths and cross sections, can anything else be determined from this graph?

Homework Equations



The total scattering cross section is:

\sigma = \frac{4 \pi}{k^2} \sum_{l=0}^{\infty} (2l+1) ~\mathrm{sin}^2 \delta_l\>..

The Attempt at a Solution



(Given in 1)

Answers to any of the questions would be greatly appreciated!

Thank you.
 
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