Positronium-positronium interaction: Resonance, scattering length, and Bose-Einstein condensation

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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8 Latex pages, 4 post-script figures

Scientific paper

10.1016/S0375-9601(02)00128-7

The low-energy scattering of ortho positronium (Ps) by ortho Ps has been studied in a full quantum mechanical coupled-channel approach. In the singlet channel (total spin $s_T=0$) we find S- and P-wave resonances at 3.35 eV (width 0.02 eV) and 5.05 eV (width 0.04 eV), respectively and a binding of 0.44 eV of Ps$_2$. The scattering length for $s_T=0$ is 3.95 \AA and for $s_T=2$ is 0.83 \AA . The small $s_T=2$ scattering length makes the spin-polarized ortho Ps atoms an almost noninteracting ideal gas which may undergo Bose-Einstein condensation.

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