Question about differential cross section

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Homework Help Overview

The discussion revolves around the differential cross section in the context of a physics problem, specifically addressing equations related to flux and scattering. Participants are examining the implications of certain variables and their dimensions in the equations presented in their notes.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the disappearance of certain terms in an equation and the dimensional consistency of the relationships presented. There is a focus on understanding how variables interact within the equations.

Discussion Status

Some participants have suggested inserting specific terms into the equation to ensure dimensional consistency. There is an ongoing exploration of the implications of certain variables being zero and how that affects the expected outcomes.

Contextual Notes

There are indications of potential errors in the original equations as noted by participants, and assumptions regarding the physical meaning of the variables are being scrutinized.

Clara Chung
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Homework Statement
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Relevant Equations
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242124

242125

I have attached the two pages in my notes and I have the following question.
1. Where have the n_t*l gone in 9.9? (According to 9.5 why do they disappear?)
2. Why J_s=sigma_tot J_i? The dimension of flux is per m^2 and sigma is per area too, the dimension is not right...
 
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Clara Chung said:
View attachment 242124
View attachment 242125
I have attached the two pages in my notes and I have the following question.
1. Where have the n_t*l gone in 9.9? (According to 9.5 why do they disappear?)
2. Why J_s=sigma_tot J_i? The dimension of flux is per m^2 and sigma is per area too, the dimension is not right...
Looks like an error to me...
 
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Yes, insert ##n_t l## into (9.9) in such a way that the units are consistent on both sides.

A physical reality check: if ##l = 0## or ##n_t = 0##, i.e. the target disappears completely, what should we expect ##J_s## to be, regardless of ##J_i##? :smile:
 
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jtbell said:
Yes, insert ##n_t l## into (9.9) in such a way that the units are consistent on both sides.

A physical reality check: if ##l = 0## or ##n_t = 0##, i.e. the target disappears completely, what should we expect ##J_s## to be, regardless of ##J_i##? :smile:
Yes, it should be zero :)
 

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