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Cross section of a S wave

  • Thread starter ziad1985
  • Start date
  • #1
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Homework Statement


The total cross section of a S wave is given by the following equation
Sigma=(pi/k)*(b^2)/((E-En)^2+(b/2)^2))
prove that b is the width of the resonance.


Homework Equations


Nothing that is the only thing


The Attempt at a Solution


I already solved the question using basic calculation.
For E=En i get the maximum of Sigma , for half of that maximum , i get a second degree equation of E, when solving it i get 2 solution representing that half maximum(E1 & E2) , the difference between E1 and E2 , E1-E2=b
But I'm not really comfortable with the way i did it , I know i got the solution , but i'm looking for another way , something more to do with physics.
idea anyone?
 

Answers and Replies

  • #2
Meir Achuz
Science Advisor
Homework Helper
Gold Member
2,171
65
You did it correctly. Somtimes physics depends on simple math.
 

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