Assignment 03 0 1 mpm Question 1 According to Wong Formula, in a classical picture, the fusion cross section depends on

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Assignment 03 0 1 Mpm Question 1 According To Wong Formula In A Classical Picture The Fusion Cross Section Depends On 1 (49.87 KiB) Viewed 166 times

Assignment 03 0 1 mpm Question 1 According to Wong Formula, in a classical picture, the fusion cross section depends on the three quantities Rg, V and 98. Using the Hill-Wheeler formula for the transmission coefficient T, the fusion cross section in the Wong approximation is given by 0,(E) Σ(20 + 1)Τι. where the incident (total) energy and T(E) = 1 + exp 27 (VB + C +1)R- E)/98 ] is the transmission probability with a is the projectile-target reduced mass, Re the mp + mr Coulomb barrier redius and VB, the Coulomb barrier height, and 12 the curvature. (a) Calculate the three first partial fusion cross sections, Ot=(E), Ot=1(E), for the "Li +2093i reaction at E = 40 MeV, and show that the contributions from ( >1 are negligible. Use RB = 1.2(A)* + and p = 4.64 MeV. Rg (b) Approximating the above equation by the following integral OPCE) - 1+ exp 27 (VB + ECR - E) /928 one obtains the following expression Of(E) = 2 R In (1 +exp (21 (E-VB)/928]), 2E which is famously known as the Wong formula. Calculate the cross section for the same reaction, using this formula. How does you result compare with the experimental value of(E) = 793 mb ? Ay/%), V3 = 2p2re? Edt Lo + + )