1. Calculate the scattering cross section in the Born approximation for: (i) the square well of of depth V and radius a. (ii) the Gaussian potential V = V₁ exp(-r²/a²) For each potential, what is the asymptotic form for high energies of the total cross ction: fd do/dQ?
1. Calculate the scattering cross section in the Born approximation for: (i) the square well of of depth V and radius a. (ii) the Gaussian potential V = V₁ exp(-r²/a²) For each potential, what is the asymptotic form for high energies of the total cross ction: fd do/dQ?
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Transcribed Image Text:1. Calculate the scattering cross section in the Born approximation for:
(i) the square well of of depth Vo and radius a.
(ii) the Gaussian potential V = V₁ exp(-r²/a²)
For each potential, what is the asymptotic form for high energies of the total cross
section: fd do/dN?
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Step 1: Given data and to find:
VIEWStep 2: Calculation of part (i) using born approximation
VIEWStep 3: Here we have calculated differential scattering cross section first and then integrate it to get σ
VIEWStep 4: Calculation of part (ii) using born approximation
VIEWStep 5: Continued calculation of 2ndpart using matrix element rather than to solve above tidious integration
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