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Coulomb barrier

The Coulomb barrier, named after Coulomb's law, which is in turn named after physicist Charles-Augustin de Coulomb, is the energy barrier due to interaction that two need to overcome so they can get close enough to undergo a .


Potential energy barrier
This energy barrier is given by the electric potential energy:
U_\text{coulomb} = {1\over 4\pi\varepsilon_0} {q_1 q_2\over r}
where
ε0 is the permittivity of free space;
q1, q2 are the charges of the interacting particles;
r is the interaction radius.

A positive value of U is due to a repulsive force, so interacting particles are at higher energy levels as they get closer. A negative potential energy indicates a bound state (due to an attractive force).

The Coulomb barrier increases with the (i.e. the number of protons) of the colliding nuclei:

U_\text{coulomb} =

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