Calculate the transmission probability of an particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with V0 = 15 MeV and barrier width L = 1.3 x 10-14 m. Also, calculate the probability (a) by doubling the potential barrier height and (b) by using the original barrier height but doubling the barrier width. Compare all three probabilities.

Calculate the transmission probability of an particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with V0 = 15 MeV and barrier width L = 1.3 x 10-14 m. Also, calculate the probability (a) by doubling the potential barrier height and (b) by using the original barrier height but doubling the barrier width. Compare all three probabilities.

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Question

Calculate the transmission probability of an particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with V₀ = 15 MeV and barrier width L = 1.3 x 10^-14 m. Also, calculate the probability (a) by doubling the potential barrier height and (b) by using the original barrier height but doubling the barrier width. Compare all three probabilities.

Expert Solution