Singlet-positronium decay using a relativistic wave function
Journal Article
·
· Physical Review A. General Physics; (United States)
- The University of Tennessee Space Institute, Tullahoma, Tennessee 37388 (United States)
The formula {Gamma}=4{sigma}{sub tot}{ital v{ital e}}{sup +}{vert bar}{psi}(0){vert bar}{sup 2} gives the decay rate for the singlet positronium atom into two photons in terms of the total cross section for the unbound (on-mass shell) annihilation {ital e}{sup +}{ital e{minus}}{r arrow}2{gamma} and the {ital e}{sup +}{ital e+} bound-state wave function at the origin and leads to the results {ital m}{alpha}{sup 5}/2 to lowest order in {alpha}. We show how this same result can be found by treating the electron and positron as bound (off their respective mass shells). This solves the problem of how to find this decay rate when faced with a relativistic wave function that is mildly singular at the origin.
- OSTI ID:
- 5552238
- Journal Information:
- Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 44:11; ISSN 1050-2947; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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