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- Thread starter gbz
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Drakkith

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Bill_K

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Anyway, a much more important number for colliders is the luminosity (particles per second per cross-sectional area) and this depends greatly on the collision geometry, i.e. how tightly you can focus the beams at the collision point.

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Vanadium 50

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But I arrived at a similar number from luminosity figures for linear colliders too. SLC for instance has a luminosity of about 0.002x10^33 /cm^2 sec. Assuming N2 is 1 in the luminosity equation, given the beam is hitting a stationary target, we can derive the particle density in the beam by dividing by c (~10^8). So luminosity (10^30) divided by c (10^8) would give us 10^22 per cm^2 meter --> that is 10^22 particles per cm^2 cross section and 1 meter length of beam. Is the N2 = 1 assumption incorrect? How would you derive the particle density from luminosity for a stationary target beam?

@v50: Wasn't my intention to post 'nonsense', maybe I made some miscalculation. But I'm not sure I understand your math. How do you go from 5 GAmps to 10^21 Watts?

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Vanadium 50

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The error in your calculation is that you are assuming continuous beam. Linear colliders are pulsed.

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Bill_K

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Of course the beam is not a centimeter across! Beam width is typically a few microns, which lowers your estimate by a factor of 1010^22 particles per cm^2 cross section and 1 meter length of beam.

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@Bill K: hmm.. that makes sense. Probably the missing factor..

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