At a certain distance in vacuum there are proton and electron (they are at rest with resptect to their's CM). I wonder after what time will they collide?(adsbygoogle = window.adsbygoogle || []).push({});

Of course, we neglect the fact that when the distance between the particles become very small, there is not only an electrical force acting on them.

Is this just a two-body problem? Then, what is U(r) in

[tex]L=\mu \dot{\mathbf{r}}^2/2 - U(r)[/tex]

where [tex]\mu[/tex] is reduced mass?

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# Electron and proton collision

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