Abstract
The proton-electron-positron system has been treated within the frame of hyperspherical coordinates. Adiabatic potentials and coupling matrix elements which depend on the electron-positron mean-square radius have been obtained forS-states. From these data we have calculated elastic positron-hydrogen scattering phase shifts. No stable ground state and no resonance below the threshold for positronium formation in the ground state has been found. Our investigation however predicts a resonance slightly below the threshold forH(n=2). Its total binding energy obtained in this work isE 0≃−0.128506 a.u.
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