(a) Calculate the transmission probability of an a particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with Vo = 15 MeV and barrier width L = 1.3 × 10-¹4 m. Also, calculate the probability (b) by doubling the potential barrier height and (c) by using the original barrier height but doubling the barrier width. Compare all three probabilities.

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(a) Calculate the transmission probability of an a
particle of energy E= 5.0 MeV through a Coulomb
barrier of a heavy nucleus that is approximated by a
square barrier with Vo = 15 MeV and barrier width
L = 1.3 × 10-¹4 m. Also, calculate the probability (b)
by doubling the potential barrier height and (c) by
using the original barrier height but doubling the
barrier width. Compare all three probabilities.
Transcribed Image Text:(a) Calculate the transmission probability of an a particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with Vo = 15 MeV and barrier width L = 1.3 × 10-¹4 m. Also, calculate the probability (b) by doubling the potential barrier height and (c) by using the original barrier height but doubling the barrier width. Compare all three probabilities.
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