How Can I Calculate the Differential Cross-Section for Bremsstrahlung Emission?

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SUMMARY

The discussion focuses on calculating the differential cross-section (DCS) for bremsstrahlung emission from a gold target using a 1.9 MeV electron beam. The specific equation of interest is \(\frac{d\sigma}{dW d\Omega}\) for emitted photons around 720 keV at a 30° emission angle. Key parameters include a beam electric current of 0.3 µA, a gold slab with a mass thickness of 130 µg/cm², and a detector positioned 1.3m from the target. The number of detected photons is 1423 over a 5-minute duration, indicating the need for a clear understanding of the equation's components and their relationships.

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Physicists, experimental researchers, and students involved in particle physics experiments, particularly those focusing on bremsstrahlung emission and differential cross-section calculations.

Jock Flannigan
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Hello guys!

I was wondering if you can help me out with the differential cross section. We set up an experiment to measure the DCS in gold of the bremsstrahlung emission by electrons. The goal is to determine:
## \frac{d\sigma}{dW d\Omega} ## (1)​
for a 1.9 MeV electron beam at an angle of emission of 30##^{\circ}##. However only for when the energy of the emitted photon is around 720 keV.
I know the beam electric current is constant during the duration and equals 0.3 ##\mu A##, the target is a gold slab of mass thickness 130 ##\mu g /cm^{2}## with a mass density ##19.32 g / cm^{3}##. The detector is 1.3m from the target. The collimator aperture is circular with a radius of 0.240 cm. The beam is on for 5min. The number of photons detected is 1423.

I am not asking to solve it, but if you can give me few hints on how to do it. Also if you can explain the individual elements of the equation (1)

Thank you very much!
 
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Did your detector take care about the energy range? What is the range of energies it covered?

Every book about particle physics covers those basic differential cross-section problems in an early chapter. The equation does not really have individual elements - it is the cross-section per energy range (of the photon I guess) and solid angle.
As it is just a large multiplication/division of all the quantities, the question is very homework-like. I moved this thread to the homework question.
 

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