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An exercise from The Physics of Quantum Mechanics by James Binney and David Skinner enter image description here

I am now tying to solve this question. I cn find out the probability of trasmission and rebouncing for that $\alpha$ particle. However, how can I use the condition "speed~ $c/3$"? Should I consider states of well defined momentum? I am looking forward to getting an idea about how to approach this question.

Also, why do we want to find $W$? Should I consider states with well defined parity?

Ma Joad
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    The $c/3$ assumption tells you how many times during the mean life of the nucleus the $\alpha$ bounces back from the barrier before it finally tunnels through. – hmakholm left over Monica Jan 30 '18 at 02:53
  • The speed of the particle also directly tells you what the kinetic energy is. To understand why $W$ is relevant, hint: $2m/\hbar^2$ is (1/over) the prefactor in kinetic energy. – Piotr Benedysiuk Jan 30 '18 at 13:22

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