BanX

A = R - sqrt(R^2 - 1)

Where R = 5 * 10^n (with a relatively big n)

e.g. when n=16, we find:

A=1.00000000000000000000000000000000010000000000000000000000000000000002000000000000000000000000000000000500000000000000000000000000000000140000000000000000000000000000000042000000000000000000000000000000013200000000000000000000000000000004290000000000000000000000000000001430000000000000000000000000000000486200000000000000000000000000000167960000000000000000000000000000058786000e-17

Edit: Fixing bold markings: C8=1430 instead of 143

For instance, they are of opposite charges (as a proton and electron in a hydrogen atom), it sounds plausible that they capture each others and form a stable positronium atom.

From my understanding, they are both considered point particles with zero-length radii. What is the probability of two zero-lengthed points to touch?