Binding energy and expectation values of the interparticle distances of muonium hydride are calculated variationally with a wave function dependent exponentially on three interparticle distances.
Binding energy of muonium hydride is calculated variationally with wave function dependent exponentially on three interparticle distances. The lower bound for the dissociation energy into the hydrogen atom and muonium is obtained as 3.853 eV. Expectation values of the interparticle distances are also calculated.
Cross-sections for elastic scattering of muonic hydrogen on helium nuclei, (hμ)_{1s} + He^{++}, where h and He^{++} stands for a hydrogen and a helium isotope nucleus, respectively, were calculated in the one-level adiabatic approximation for a range of collision energies from 0 to 50 eV. Bound states and energy levels of (hμHe)^{++} molecular ions were also calculated and compared with their Born-Oppenheimer counterparts. It is shown that adiabatic corrections are responsible for proper positions of the Ramsauer-Townsend minima in (hμ)_{1s}+He^{++} elastic scattering and, at the same time, they significantly influence bound states and energy levels of (Heμh)^{++} and (Heπh)^{++} ions. Calculations were performed in the frame of the phase-function method.
Positronium will play a primary role in the next generation of antimatter experiments through the following antihydrogen production reaction: p̅ + Ps* → p̅e⁺ + e¯. In order to study antimatter physical properties (CPT (charge, parity, time) invariance and principle of equivalence test) it is necessary to keep this system at the lowest possible (sub-kelvin) temperatures. This requires the generation of a suitable flux of cold Ps atoms in a vacuum, a non-trivial requirement at the light of the present experimental results. In this paper we discuss the state of the actual knowledge on positronium formation and consequent emission from metallic surfaces and insulators and we show the opportunity to use suitable porous materials to cool positronium through collisions with the inner walls of the pores. We get a rough indication on the geometrical parameters of the pore and we propose a simple experiment to obtain the kinetic energy - and therefore the equivalent temperature - of emitted positronium without using a positron beam.
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