https://doi.org/10.1007/s100530170283
Spontaneous relativistic two-photon decay rate mathematical expression in helium-like systems
1
Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Monte
de Caparica, 2825-114 Caparica, Portugal
2
Centro de Física Atómica da Universidade de Lisboa,
Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal
3
Departamento de Física, Faculdade de Ciências,
Universidade de Lisboa, Campo Grande, Edifício C1,
1749-016 Lisboa, Portugal
4
Laboratoire Kastler-Brossel (Unité mixte de recherche du CNRS n C8552) ,
École Normale Supérieure et Université Pierre et Marie Curie, Case 74, 4 place
Jussieu,
75252 Paris Cedex 05, France
Corresponding author: a jps@cii.fc.ul.pt
Received:
24
March
2000
Revised:
19
September
2000
Published online: 15 January 2001
We derive a theoretical expression for the two-photon emission rate of two-electron systems, in a form suitable for easy implementation in numerical calculations. Racah algebra techniques were used to extended previous work on two-photon emission in hydrogen-like systems to more complex ones. The obtained expression is, as far as we are aware, the first general expression that gives the spontaneous two-photon decay rates of helium-like systems for any combination of multipoles.
PACS: 31.10.+z – Theory of electronic structure, electronic transitions, and chemical binding / 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 32.70.Fw – Absolute and relative intensities
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
