Question about differential cross section

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SUMMARY

The discussion centers on the differential cross section, specifically addressing the disappearance of the term n_t*l in equation 9.9 and the dimensional inconsistency in the equation J_s=sigma_tot J_i. Participants confirm that n_t*l should be included in equation 9.9 to maintain unit consistency. They emphasize the importance of considering physical realities, noting that if either n_t or l equals zero, J_s must also equal zero, regardless of J_i.

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  • Understanding of differential cross sections in physics
  • Familiarity with dimensional analysis in equations
  • Knowledge of the significance of physical parameters like n_t and l
  • Experience with interpreting equations in theoretical physics
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  • Study dimensional analysis techniques to ensure unit consistency in equations
  • Explore the physical significance of parameters like n_t and l in scattering theory
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This discussion is beneficial for physics students, researchers in particle physics, and educators seeking to clarify concepts related to differential cross sections and dimensional analysis.

Clara Chung
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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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