Parton Distributions in PP collisions

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Discussion Overview

The discussion revolves around parton distribution functions (PDFs) in proton-antiproton collisions, particularly in the context of Z boson production. Participants explore the equality of up and down quark distributions, the implications of the Gottfried sum rule, and the challenges in observing certain particle interactions.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the up anti-up and down anti-down parton distributions are equal, suggesting that while their integrals may cancel, the distributions could differ based on various factors.
  • It is noted that the Gottfried sum rule, which assumes equality between certain quark distributions, has been violated in experiments, indicating that ubar and dbar distributions are not equal.
  • Participants discuss the contributions from sea and valence quarks, with the valence quarks potentially having significant effects depending on kinematics.
  • One participant highlights that the spin-averaged PDFs of the up quark in a proton and the anti-up quark in an antiproton are equal, but emphasizes that the statement regarding the rarity of quark-antiquark collisions due to small PDFs may be context-dependent.
  • There is a request for clarification regarding a specific quote about the rarity of quark-antiquark collisions, suggesting potential misunderstandings in the interpretation of parton distributions.

Areas of Agreement / Disagreement

Participants express disagreement regarding the equality of various parton distribution functions, with no consensus reached on the implications of the Gottfried sum rule or the specific characteristics of quark distributions in different contexts.

Contextual Notes

There are unresolved assumptions regarding the definitions and conditions under which parton distribution functions are compared, as well as the implications of experimental results on theoretical models.

philip041
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I read some notes answering a question about how a Z boson is made in a proton anti-proton collision and it said that the quark antiquark collision is a very rare event because the antiquark has a small parton distribution function. Surely the up anti up(or down antidown) parton distributions are the same? The general context is the discovery of the W+ W- and Z bosons. Were these all quite difficult processes to observe?

Cheers
 
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philip041 said:
Surely the up anti up(or down antidown) parton distributions are the same?
I can see why their integrals should cancel, but I doubt they must be equal in all variables one can cook.

On top of that, for up or down you have contributions from the sea and the valence as well. The valence is defined as this part which does not cancel when integrated. Depending on your kinematics, the valence may contribute a lot.
 
Neither the integrals nor the distributions of ubar and dbar are equal.
The "Gottfried sum rule" which assumes they are equal has been shown to be violated in several experiments. A good reason for their difference is that there are more pi+ mesons than there are pi- in the proton pion cloud. Use "surely" carefully.
 
clem said:
Neither the integrals nor the distributions of ubar and dbar are equal.
It was about the equality of u_sea with ubar_sea (on one hand, and on the other hand d_sea with dbar_sea) if I understand the question.
 
Lol I'm out my depth already, cheers for the replies but I think I will have to hunt my elusive lecturer down...
 
humanino said:
It was about the equality of u_sea with ubar_sea (on one hand, and on the other hand d_sea with dbar_sea) if I understand the question.

Those aren't equal either, I'm afraid.
 
Vanadium 50 said:
Those aren't equal either, I'm afraid.
That's what I tried to convey in #2
 
Can you give us the specific quote? I think there may be some misunderstanding here. It is an obvious consequence of CPT theorem that the spin-averaged pdf of the up-quark in proton is equal to the spin-averaged pdf of the antiup-quark in antiproton. And neither of them is small.

This quote "the quark antiquark collision is a very rare event because the antiquark has a small parton distribution function" might make sense in the context of trying to observe Z on a proton-proton collider. It is indeed rather unlikely to find an energetic antiquark inside a proton.
 
Last edited:
hamster143 said:
...
If I CPT an up quark, I get an antiup, not a down.
 
  • #10
grr yes that's what I meant.
 

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