Calculations of positronium-atom scattering using a spherical cavity

Abstract

Positronium (Ps) scattering by noble-gas atoms (He, Ne, Ar, Kr, and Xe) is studied in the frozen-target approximation and with inclusion of the van der Waals interaction. Single-particle electron and positron states in the field of the target atom are calculated, with the system enclosed by a hard spherical wall. The two-particle Ps wave function is expanded in these states, and the Hamiltonian matrix is diagonalized, giving the Ps energy levels in the cavity. Scattering phase shifts, scattering lengths, and cross sections are extracted from these energies and compared with existing calculations and experimental data. Analysis of the effect of the van der Waals interaction shows that it cannot explain the recent experimental data of Brawley et al. for Ar and Xe [Phys. Rev. Lett. 115, 223201 (2015)].

arXiv comment17 pages, 9 figures, submitted to Phys. Rev. A

References in corpus (17)

• Many-body theory of positron-atom interactions
• Positron scattering and annihilation on noble gas atoms
• Electron exchange model potential: Application to positronium-helium scattering
• Scattering of positronium by H, He, Ne, and Ar
• $\gamma$-ray spectra and enhancement factors for positron annihilation spectra with core-electrons
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• Similarity between positronium-atom and electron-atom scattering
• Formation of positron-atom bound states in collisions between Rydberg Ps and neutral atoms
• Ps-atom scattering at low energies
• Positron scattering and annihilation in hydrogen-like ions
• Positronium-Atom Collisions
• Time-dependent Density Functional calculation of e-H scattering
• Positronium collisions with rare-gas atoms
• Effective radius of ground- and excited-state positronium in collisions with hard walls
• Differential and partial cross sections of elastic and inelastic positronium-helium-atom scattering
• van der Waals coefficients for positronium interactions with atoms
• Variational calculation of positronium-helium-atom scattering length

Cited by in corpus (3)

• Many-body theory for positronium-atom interactions
• Many-body theory for positronium scattering and pickoff annihilation in noble-gas atoms
• Complex scaling calculation of phase shifts for positron collisions with positive ions