Aplha particle tunneling through coloumb barrier

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Homework Statement


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?



Homework Equations



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

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.
 

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