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Positronium is just like a H-atom with the proton replaced by the positively charged anti-particle of the electron (called the positron which is as massive as the electron). What would be the ground state energy of positronium?

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The ‘m’ that occurs in the Bohr formula 

is the reduced mass. For H-atom m  me. For positronium m  me/2.

Hence for a positonium E1 – 6.8eV.

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