Make Hydrogen from Free Electrons and Protons

[jobyts]

Let's say, I put x number of free electrons and x number of free protons into a jar, close the lid, shake it for a while. Do I get x atoms of Hydrogen? Does the each electron start revolving around each proton? If not, why and what do we need to do to make Hydrogen out of it (changing pressure, temperature...?)

 

[cragar]

the electrons might tunnel through the glass.

 

[jobyts]

the electrons might tunnel through the glass.

let's assume container is electrically neutral and no particles could escape it.