(8) Alpha-particles of 8 MeV energy are scattered from a gold foil target. The b
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Question
(8) Alpha-particles of 8 MeV energy are scattered from a gold foil target. The back-angle cross section, do/d ( 1809, is found to be reduced by 5% from that given by the Rutherford cross section. Assume that the reduction is caused by a short-range modification of the Coulomb potential which affects only s-waves. (a) Is the short-range potential attractive or repulsive? (b) Deduce the modification in the s-wave phase shift caused by the short-range potential. (c) What change would there be to the Rutherford result at 10%. (d) At what angles would you expect corrections due to the atomic shielding to be important (i.e. for the theory to break down)?Explanation / Answer
(a) The short range potential is repulsive and for stronger coulomb potential it is attractive (i.e) for potential more than 25 MeV.
(c) At 10%, there will be exponential absorption of the incident projectile beam.
(d) For angles more than 180 degrees.
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