Cross section energy dependence

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Discussion Overview

The discussion centers on the energy dependence of cross sections in particle collisions, specifically addressing the apparent contradiction between the expected behavior of hard cross-sections in inelastic scattering and the observed increase in cross-sections for proton-proton collisions as energy rises. Participants seek explanations and references for this phenomenon.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that the hard cross-section for 2 to 2 inelastic scattering behaves as 1/E^2, while the cross-section in proton-proton collisions increases with energy.
  • Another participant suggests a reference to a book by Forshaw and Ross and an arXiv paper for further reading on the topic.
  • One participant proposes that the increase in cross-section with energy is due to the repulsive nature of protons, suggesting that higher energy allows protons to get closer together without being deflected as much.
  • A later reply challenges the previous assumption, stating that the cross-section for proton-proton and proton-antiproton collisions is the same at high energies, indicating a flaw in the initial reasoning.
  • This participant recalls that the increase in cross-section may relate to the "reggeization" of gluons exchanged during collisions, although they admit to not being able to fully reproduce the argument.
  • Another participant expresses uncertainty about their initial guess regarding the repulsion of protons and acknowledges a lack of deep understanding of the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the explanation for the increase in cross-section with energy, with multiple competing views and uncertainties remaining in the discussion.

Contextual Notes

Some arguments rely on assumptions about the behavior of protons at different energy levels, and the discussion highlights the complexity of the interactions involved, including the role of gluons and the specifics of collision types.

kaksmet
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Hey,

The hard cross-section of a 2 to 2 inelastic scattering goes as 1/E^2, where E is the center of mass energy. However, the cross-section in proton proton collisions increases with energy.
My question is; does anybody have a good explanation for this and/or a good reference where I can read about it.

Thanks
T
 
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Concerning the increasing crosssection bit, there is a nice book by Forshaw and Ross called "Pomeron something something" (sorry, forgot the full title). Alternatively check http://arxiv.org/abs/hep-ph/9503226

Hope i could help!
earth2
 
I'm assuming the cross section increases with energy because protons repel each other. The more energy they have the less they are deflected per time/distance.
 
Drakkith said:
I'm assuming the cross section increases with energy because protons repel each other. The more energy they have the less they are deflected per time/distance.

Does that even make sense on physical grounds? In any case it is not true since the cross section of pp collisions and ppbar collision is the same at high energies, so your argument breaks down.

Without being able to reproduce the full explanation, i think i remember that the increase has something to do with the "reggezation" of the gluons being exchanged in that collision...as i said i can't reproduce the argument but there should be something in the two reference i mentionened in my first posting.
 
earth2 said:
Does that even make sense on physical grounds? In any case it is not true since the cross section of pp collisions and ppbar collision is the same at high energies, so your argument breaks down.

Without being able to reproduce the full explanation, i think i remember that the increase has something to do with the "reggezation" of the gluons being exchanged in that collision...as i said i can't reproduce the argument but there should be something in the two reference i mentionened in my first posting.

Oh, I had no idea. I was throwing out a guess based on my understanding that protons repel each other, and I would think that with higher energies the cross section would increase. I assumed that the protons that didn't collide at lower energies might collide at higher energies because they are able to get closer without being pushed away as far. Sorry, I have a tendency to stick my nose into things I don't really know about lol.
 

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