Coulomb centripetal balance and μvr=nℏ giveThe radius is the electron-nucleus separation. For positronium, Z=1 and μ=me/2, so rn=2a0n2 and En=−Ry/(2n2). Each constituent's radius about the center of mass is half the separation; calling both that radius and rn the orbital radius without distinction would create another factor-two error.
rn=μmeZa0n2,En=−meμn2Z2Ry.
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