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Calculate the separation of the particle...

Calculate the separation of the particles and the binding energy of a positronium (an atom consisting of an electron and a position revolving around their centre of mass).

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106 pm, 6.8 eV
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In an ordianary atom, as a first approximation, the motion of the nucleus can be ignored. In a positronium atom a positronreplaces the proton of hydrogen atom. The electron and positron masses are equal and , therefore , the motion of the positron cannot be ignored. One must consider the motion of both electron and positron about their center of mass. A detailed analyasis shows that formulae of Bohr's model apply to positronium atom provided that we replace m_(e) by what is known reduced mass is m_(e)//2 . If the Rydberg constant for hydrogen atom is R , then the Rydberg constant for positronium atom is

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