Neutron scattering as a function of angle

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Discussion Overview

The discussion centers around deriving an explicit formula for the neutron scattering cross section as a function of energy and angle for (n,p) elastic collisions with H-1 as the target. Participants explore theoretical approaches and existing literature related to neutron scattering.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about deriving a formula for the neutron scattering cross section based on energy and angle.
  • Another participant suggests using center of mass coordinates and assumes isotropic scattering, noting that this applies under the assumption of elastic scattering.
  • A different participant mentions attempting to use conservation of energy but only finds a relation for scattering energy as a function of angle, seeking further hints.
  • One participant asserts that there is no explicit formula available, referencing the extensive literature on n-p scattering.
  • Another participant provides a link to a recent paper that includes explicit formulas and references related to the topic.
  • It is noted that for elastic scattering, energy is implicit in the transformation to center of mass, but other nuclear reactions may also be relevant.

Areas of Agreement / Disagreement

Participants express differing views on the existence of an explicit formula, with some asserting it does not exist while others reference literature that may contain relevant information. The discussion remains unresolved regarding the derivation of a specific formula.

Contextual Notes

Participants acknowledge the complexity of the topic, including the implications of elastic versus inelastic scattering and the need for careful consideration of energy transformations.

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Hi thanks for reading. Is it possible to derive an explicit formula for the neutron scattering cross section as a function of energy and angle of incident and scattered neutrons respectively? This is for a (n,p) elastic collision with H-1 as the target.
 
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I believe (I worked with this many years ago) that the derivation can be done by transforming to the center of mass coordinates and assuming isotropic scattering there.

This assumes the scattering is elastic. Collisions could end up as H2 nuclei.
 
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Thanks for replying! I have tried this using conservation of energy. However, I cannot find a relation for cross section as a function of energy and angle; only scattering energy as a function of angle. Do you have any hints? I have been looking at <http://mightylib.mit.edu/Course%20Materials/22.101/Fall%202004/Notes/Part3.pdf> for answers but I'm just not sure if it is the correct way to go about it.
Thanks
 
Last edited by a moderator:
There is no explicit formula. Hundreds of papers have been written on n-p scattering.
 
For elastic scattering, the energy of the neutron is implicit in transforming to the center of mass. However nuclear reactions other than elastic scattering will be involved. The reference of Achuz is a good place to start.
 

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