Rutherford Scattering cross section

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Homework Help Overview

The discussion revolves around the integration of the Rutherford scattering cross section over the backward hemisphere, specifically aiming to derive a relationship involving 4π and σ0(E).

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the integration limits for the scattering angle and question whether they are set correctly. There is an attempt to reconcile the derived result of 8/3 with the expected outcome of 4π.

Discussion Status

Some participants are exploring the integration process and the limits involved, while others are reflecting on potential confusion with different problems. There is no explicit consensus on the correct approach or outcome at this stage.

Contextual Notes

Participants are working under the assumption that the integration limits correspond to large angle scattering, specifically from π/2 to π, as stated in the problem. There is an indication of confusion regarding the expected result.

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Homework Statement


Integrate the rutherford cross section over the backward hemisphere to get 4pi(sigma0(E))


Homework Equations



Rutherford cross section is sigma0(E)/sin^4(theta/2)

The Attempt at a Solution


When I integrate this with the limits pi/2 to pi i get sigma0(E)*(8/3) i don't know what I'm doing wrong.
 
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Are you sure you have your integration limits correct?
 
I thought so, since the problem says that theta goes between pi/2 and pi i.e. large angle scattering is from 90-180 degrees. I don't see how I'm supposed to get it to be 4pi instead of 8/3.
 
Never mind my previous response, I was confusing this with a different problem I was solving earlier.

As near as I can tell, your solution appears to be correct.
 

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