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Physics Letters A

Stability of the five-body bi-positronium ion

Alexei M. Frolov, David M. Wardlaw

Published Sep 7, 2008• 5 citations
Publisher
DOI
10.1016/j.physleta.2008.07.084

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The question of stability of a given quantum system made up of charged particles is of fundamental interest in atomic, molecular, and nuclear physics. In this work, the stability for the negatively charged positronium (Ps)-like ions or the three-body system ( Z e + , e − , e − ) with Yukawa potentials is studied using correlated exponential wavefunctions based on the Ritz variational method. We obtained the critical screening parameter μ C as a function of the continuously varied nuclear charge Z , the critical nuclear charge Z C as a function of the screening parameter μ , and the ionization energies in terms of the screening parameter μ and Z . The critical nuclear charge for the bare Coulomb system ( Z e + , e − , e − ) obtained using 700-term correlated exponential wavefunctions is in accord with the reported results. The ionization energy, μ C , and Z C for the Yukawa system ( Z e + , e − , e − ) exhibit interesting behaviors. The present study describes the possible nonexistence of Borromean binding as well as Efimov states. The possible existence of quasi-bound resonances states for the negatively charged screened Ps-like ions is briefly discussed.
Formation of the Positronium Antihydride Molecules (HˉPs\bar{\textrm{H}}\textrm{Ps}HˉPs) in Low Energy, 5-Body Collisions of Antihydrogen Ion Hˉ+\bar{\textrm{H}}^+Hˉ+ with Positronium Atoms Ps
Abstract In this paper we present the first pilot calculation of the elastic and inelastic cross sections for the 5-body scattering of antihydrogen ions with positronium atoms. These cross sections have not been calculated before and are not known experimentally. In particular, we focus on the collisional rearrangement reactions Hˉ++Ps→HˉPs+e+\bar{{ \mathrm H}}^+ + \textrm{Ps} \rightarrow {\bar{\textrm{H}}}\textrm{Ps} +{\mathrm{e^+}}Hˉ++Ps→HˉPs+e+ H ¯ + + Ps → H ¯ Ps + e + which deplete the Hˉ+\bar{\textrm{H}}^+Hˉ+ H ¯ + ions and result in stable atomcules HˉPs\bar{\textrm{H}}\textrm{Ps}HˉPs H ¯ Ps . To better understand the mechanism of this rearrangement, we study the 3-dimensional, angle resolved positron densities of the 3- and 4-body fragments in the initial and final states of the rearrangement collision.