Inelastic and elastic scattering and absorption.

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Discussion Overview

The discussion revolves around the concepts of inelastic scattering, elastic scattering, and absorption of neutrons in nuclear interactions. Participants explore definitions, mechanisms, and measurement techniques related to these phenomena, with a focus on theoretical and technical aspects.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes inelastic scattering as involving a neutron being temporarily absorbed by a nucleus, leading to gamma radiation and scattering of both the neutron and target particle.
  • Another participant challenges the description of elastic scattering, noting that the target particle can be at rest before the collision, which affects its trajectory and momentum conservation.
  • Concerns are raised about the statement that absorption requires the neutron to be of lower energy, with some suggesting that higher energy neutrons can also be absorbed.
  • There is a discussion about the stability of the heavier nucleus formed during absorption, with one participant stating that it does not necessarily have to become unstable and decay.
  • A suggestion is made to include neutron detectors as a method for measuring inelastic scattering and absorption.
  • Another participant categorizes the interactions into elastic scattering and absorption, providing detailed descriptions of various processes, including different types of neutron interactions and their outcomes.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and conditions of scattering and absorption processes, indicating that multiple competing perspectives remain unresolved. There is no consensus on several technical points raised in the discussion.

Contextual Notes

Some limitations include assumptions about the energy states of neutrons and the conditions under which absorption occurs. The discussion also highlights the complexity of neutron interactions and the dependence on specific scenarios.

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I have to write some training on the following and I really have no idea. Is this correct? Any help is greatly appreciated;)

Inelastic scattering
In inelastic scattering, a neutron collides with and is temporarily absorbed by the nucleus of the target particle. This excites the nucleus, causing it to release gamma radiation and another neutron. Both the neutron and the target particle ‘scatter’ in different directions. As the neutron continues to collide with target particles, it loses more energy and is therefore more likely to experience an elastic scattering.

Elastic scattering
In elastic scattering, the neutron is at a lower energy state and so bounces off the target nucleus, but in the process it shares its kinetic energy with the target nucleus, causing the neutron to change direction. The target particle to continues on its original trajectory, but at a higher velocity.

Absorption
In absorption, the lower energy neutron collides with the nucleus of an atom that has the same mass and as a result is captured forming a heavier nucleus. When a neutron is captured, the heavier nuclear becomes unstable and decays, releasing gamma radiation.

Measuring
Inelastic scattering and absorption can be measured by the amount of gamma radiation they release...and because the radioactive emissions of elements are well known, we can compare the spectra of radiation released with known elements, to determine the concentration of elements within a formation.
 
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The target particle to continues on its original trajectory, but at a higher velocity.
That's not right. In particular, the target particle can be at rest before the collision, what is its original trajectory then?
Momentum is conserved, if the neutron changes its momentum the target has to change its momentum as well.
If the target particle is moving before the collision, it can slow down and the neutron can gain speed.

In absorption, the lower energy neutron collides with the nucleus of an atom that has the same mass
The same mass as what?
The neutron does not have to be low-energetic, although a lower energy is often useful to get absorption.

When a neutron is captured, the heavier nuclear becomes unstable and decays, releasing gamma radiation.
That doesn't have to happen.Apart from those points, I think it looks fine.
 
From measuring part, one more thing could as well use neutron detectors...
 
I´d group the options as follows:
1) Elastic scattering
The neutron and nucleus change their momenta and energies, but remain unchanged in state, and no new particles are formed. In a frame where the momenta of neutron and nucleus are equal and opposite, their values are unchanged and only directions change; in a frame where the momentum of nucleus is zero, the nucleus loses energy and neutron gains it.
2) Absorption
Several options:
Most common is n,γ. If the neutron can be bound in a heavier nucleus, stable or unstable (there are very few longlived nuclei at the beginning on neutron dripline, such as α and t) then n,γ is the simplest way to get rid of the binding energy.
Simplest but not always the most favourable. Strong interaction is strong. Thus, when strong interaction is possible, like n,p, n,α or n,f, it usually is faster than the parallel n,γ.

If the neutron has appreciable energy, then 1) and 2) are still possible, usually with smaller cross-section, but there will be extra options
3) Braking radiation. Nuclei are charged, so when accelerated they may radiate electromagnetic waves. They do not have to, they can scatter elastically, but inelastic scattering is possible
4) Inelastic scattering with delayed gamma. This requires that the nucleus should possesses an excited state with suitable energy
5) Inelastic scattering with nuclear reaction. Such as n,2n, n,3n, n,np, n,nα et cetera. As well as the reactions listed above under absorption (n,p, n,α or n,f) where the nucleus did not meet the energy threshold with slow neutrons.

Is that correct?
 

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