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Aplha particle tunneling through coloumb barrier

  1. Jul 10, 2011 #1
    1. The problem statement, all variables and given/known data
    Let us approximate the Coulomb barrier of a heavy nucleus by a square potential with a height of V0 = 14.8 MeV and a width of L = 13.7 fm. What is the probability that an α particle with an energy of 5.70 MeV will tunnel through this barrier?



    2. Relevant equations

    T=16(E/V_0)(1-(E/V_0))e^(-2kL)

    3. The attempt at a solution

    essentially it should be a plug and chug however, I cannot get the correct answer. I know the equation above is an approximation given kL>>1 however, what defines that. That could be the only thing I would think that could throw it off.
     
  2. jcsd
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