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

Abstract

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 Åand for $s_T=2$ is 0.83 Å. 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.

8 Latex pages, 4 post-script figures

References in corpus (5)

• Positronium atom scattering by H_2 in a coupled-channel framework
• Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation
• Differential and partial cross sections of elastic and inelastic positronium-helium-atom scattering
• S-, P- and D-wave resonances in positronium-sodium and positronium-potassium scattering
• Resonances in positronium-rubidium and positronium-cesium scattering

Cited by in corpus (7)

• Laser cooling of positronium
• Scattering properties of the $2e^{-}2e^{+}$ polyelectronic system
• Correlated Pair Approach to Composite Boson Scattering Lengths
• Low-Energy Scattering Properties of Ground-State and Excited-State Positronium Collisions
• Scattering amplitudes for dark and bright excitons
• Continuous-wave solutions and modulational instability in spinor condensates of positronium
• Charged three-body system with arbitrary masses near conformal invariance