What is Nc in the R Ratio formula? re CDF detector measurements

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Discussion Overview

The discussion revolves around the R ratio formula in the context of particle physics, specifically its application to measurements from the CDF detector. Participants seek clarification on the meaning of Nc in the formula and its relation to center of mass energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant asks for clarification on what Nc represents in the R ratio formula and whether it relates to center of mass energy.
  • Another participant explains that Nc is the number of colors in the strong interaction, suggesting it is 3, and notes that the ratio does not depend directly on center of mass energy.
  • A participant expresses gratitude for the explanation but questions the possibility of relating R to center of mass energy.
  • Two participants assert that the equation is unrelated to the CDF detector, prompting one to express uncertainty about their understanding of the material and the connection between the R ratio and CDF measurements.
  • A participant mentions that R was measured with good precision at LEP and notes that at 4 GeV, the production of another quark affects the ratio.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between the R ratio and CDF measurements. There are competing views regarding the relevance of the R ratio to center of mass energy and the implications of quark production at different energy levels.

Contextual Notes

Participants express confusion regarding the lecture material, indicating that the connection between the R ratio and the CDF measurements is not clearly established. There are unresolved questions about the application of the R ratio at specific energy levels.

rwooduk
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Nc is the number of colors in the strong interaction, as the sum runs over all quark flavors and colors. You can use this ratio to determine the number as 3.

This ratio does not depend directly on the center of mass energy - the energy just determines which particles are available (here: no top-quarks at LEP as the energy was not sufficient, that's why you have the prefactors of 3 (down, strange, bottom) and 2 (up, charm) in the equation).
 
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ahh i see, thanks for explaining this, very helpful!

edit is it possible to relate R to centre of mass energy?
 
The equation has nothing to do with CDF. Are you sure you have this right?
 
Vanadium 50 said:
The equation has nothing to do with CDF. Are you sure you have this right?

to be honest I'm not sure at all, I'm trying to make sense of lecture notes i took over the semester, a plot was given of CDF detector measurements for a p + p -> muon + muon + various hadrons

it shows how often the events were found (y-axis) with a certain invariant mass of two muons (x-axis).

the lecturer then goes on to talk about the R ratio, so perhaps these two are not related?

ive taken some notes on the R ratio, then he asks what R is at a centre of mass energy of 4Gev, but fails to give any formula?

[rant]having real trouble understanding particle physics, the course has been lectured rather than taught and there is vast amounts of information to assimilate the majority of which doesn't help in numerical questions, never met a subject like it![/rant]

thanks again
 
That R comes from LEP, where they measured it with a good precision. I don't see any relation to CDF here.
At 4 GeV, another quark (in addition to top) is too heavy to get produced, this changes the ratio.
 

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