Aplha particle tunneling through coloumb barrier

[kraigandrews]

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.

 

[jbsteele]

If someone could explain to me what kL>>1 means and how to apply it to this problem that would be much appreciated. Thanks!