Journal ArticleDOI
Decay of the positronium molecule into a positronium atom and photons
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TLDR
In this article, the authors studied the angular correlation of the γ rays on the decay of the positronium molecule Ps2 into two photons and parapositronium and determined the differential probabilities of the decays.Abstract:
Decays of the positronium molecule Ps2 into para- or orthopositronium Ps in the ground state and photons are investigated. The differential probabilities of the decays are determined. The total probabilitiesw
2γ
(Ps2)
andw
3γ
(Ps2)
of Ps2 annihilation with the production of two and three photons and positronium are calculated to be
$$w_{2\gamma }^{(P_{S_2 } )} = 1.6 \cdot 10^{10} \sec ^{ - 1} ,w_{3\gamma }^{(P_{S_2 } )} = 0.43 \cdot 10^8 \sec ^{ - 1} $$
. The curve of the angular correlation of the γ rays on the decay of Ps2 into two photons and parapositronium is studied. The width of this curve is Δ¦P¦=0.128 a.u. (¦P¦ is the total photon momentum), which corresponds to a deviation of the emission angle of the γ rays from π: θ ≲ 0.934 mrad. The maximum in the distribution of the photons with respect to the momenta ¦P¦ in the center of mass of the annihilating pair is attained at ¦P¦=0.175 a.u. The calculations were made on an M-222 computer, and their accuracy is determined by the choice of the wave function of the positronium molecule and the accuracy in the computer calculation of the integrals.read more
Citations
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Book ChapterDOI
Positronium—its Formation and Interaction with Simple Systems
TL;DR: In this paper, the formation and interaction of positronium with simple systems is discussed and the formation channel is open even at zero positron energy; indeed the reaction is exothermic.
Journal ArticleDOI
Positronium Molecules: Their Existence, Formation and Annihilation
TL;DR: A review of the theory of positronium molecules (Ps2) is presented in this article, where the role of Ps2 in understanding the structure of similar quantum mechanical systems created in molecular crystals and semiconductors is discussed.
Journal ArticleDOI
Variational treatment of positronium molecules
TL;DR: A variational treatment for obtaining the binding energies, wavefunctions and internal distances of the positronium molecule (Ps2) is presented in this article, where very modern Hylleraas-type trial wave functions, as well as different envelope functions (upsilon m6e- gamma upsilon where m6 is the distance between the two positrons), are employed.
Journal ArticleDOI
On the existence of antihydrogen-deuterium and antihydrogen-tritium bound states
M. A. Abdel-Raouf,Janos Ladik +1 more
TL;DR: In this article, the existence of a bound state composed of one hydrogen atom and one anti-hydrogen atom is proved, and the extension of the theorem to antihydrogen-deuterium and anti- hydrogen-tritium systems is discussed.
Journal ArticleDOI
Coherent positronium molecule PSn and scanning clustering microscopy
TL;DR: The remarkable coherent features of the positronium molecules Ps(n) are shown in this paper, which are the lightest molecular system in the universe and undergo the coherent annihilation of all constituent Ps atoms yielding the coheren
References
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Journal ArticleDOI
Binding Energy of the Positronium Molecule
Egil A. Hylleraas,Aadne Ore +1 more
TL;DR: In this paper, a system of two electrons and two positrons was shown to possess dynamic stability, and the variational calculation performed leads to a binding energy of at least 0.11 ev for this cluster.
Journal ArticleDOI
Double-Electron Capture by Positrons Passing Through Helium
G. Ferrante,R. Geracitano +1 more
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