- #1

- 10

- 0

How can I convert the number of events + the luminosity in a cross section?

I think this must be trivial...

thanks..

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- Thread starter Jodahr
- Start date

- #1

- 10

- 0

How can I convert the number of events + the luminosity in a cross section?

I think this must be trivial...

thanks..

- #2

- 2,967

- 5

By dimensional analysis if you know the dimensions of each of the quantities involved.

- #3

- 10

- 0

ah..lol..I think it's just...events = sigma * luminosity...right?

- #4

- 2,967

- 5

Ok, how did you conclude that?

- #5

- 10

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- #6

- 2,967

- 5

The proportionality constant must have a dimension L

What I tried to say could be summarized as:

[tex]

\frac{d N_{\mathrm{reactons}}}{d t} = K \, \mathcal{L}

[/tex]

where [itex]\mathcal{L}[/itex] is the luminosity of the incident beam, and:

[tex]

K = N_{\mathrm{scatters}} \, \sigma

[/tex]

where [itex] N_{\mathrm{scatters}}[/itex] is the total number of scatterers in the target, and [itex]\sigma[/itex] is the total scattering cross-section for a single scattering event.

- #7

- 10

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but I think in the paper I have read they have used the integrated luminosity...because they have used exactly the dimension "inverse barn"...

- #8

mfb

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