Resonance effects on the two-photon emission from hydrogenic ions

P. Amaro; J. P. Santos; F. Parente; A. Surzhykov; P. Indelicato

doi:10.1103/PhysRevA.79.062504

Resonance effects on the two-photon emission from hydrogenic ions

P. Amaro, J. P. Santos, F. Parente, A. Surzhykov, P. Indelicato

DF – Departamento de Física

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26 Citations (Scopus)

Abstract

A theoretical study of the all two-photon transitions from initial bound states with ni =2,3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1≤Z≤92 are obtained through the use of finite basis sets for the Dirac equation constructed from B splines. We also report the spectral (energy) distributions of several resonant transitions, which exhibit interesting structures, such as zeros in the emission spectrum, indicating that two-photon emission is strongly suppressed at certain frequencies. We compare two different approaches (the line profile approach and the QED approach based on the analysis of the relativistic two-loop self-energy) to regularize the resonant contribution to the decay rate. Predictions for the pure two-photon contributions obtained in these approaches are found to be in good numerical agreement.

Original language	English
Article number	062504
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	79
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.79.062504
Publication status	Published - 9 Jun 2009

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10.1103/PhysRevA.79.062504Licence: CC BY

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title = "Resonance effects on the two-photon emission from hydrogenic ions",

abstract = "A theoretical study of the all two-photon transitions from initial bound states with ni =2,3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1≤Z≤92 are obtained through the use of finite basis sets for the Dirac equation constructed from B splines. We also report the spectral (energy) distributions of several resonant transitions, which exhibit interesting structures, such as zeros in the emission spectrum, indicating that two-photon emission is strongly suppressed at certain frequencies. We compare two different approaches (the line profile approach and the QED approach based on the analysis of the relativistic two-loop self-energy) to regularize the resonant contribution to the decay rate. Predictions for the pure two-photon contributions obtained in these approaches are found to be in good numerical agreement.",

author = "P. Amaro and Santos, {J. P.} and F. Parente and A. Surzhykov and P. Indelicato",

note = "This research was supported in part by FCT Projects No. POCTI/FAT/44279/2002 and No. POCTI/0303/2003 (Portugal financed by the European Community Fund FEDER, by the French-Portuguese collaboration (PESSOA Program, Contract No. 441.00), and by the Accoes Integradas Luso-Francesas (Contract No. F-11/09). The work of A. S. was supported by the Helmholtz Gemeinschaft (Nachwuchsgruppe VH-NG-421). Laboratoire Kastler Brossel is {"}Unite Mixer de Recherche du CNRS, de l'ENS et de l'UPMC No. 8552.{"} P. I. acknowledges the support of the Helmholtz Allianz Program of the Helmholtz Association, under Contract No. HA-216, {"}Extremes of Density and Temperature: Cosmic Matter in the Laboratory.{"} P. A. acknowledges the support of the FCT, under Contract No. SFRH/BD/37404/2007.",

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AU - Amaro, P.

AU - Santos, J. P.

AU - Parente, F.

AU - Surzhykov, A.

AU - Indelicato, P.

N1 - This research was supported in part by FCT Projects No. POCTI/FAT/44279/2002 and No. POCTI/0303/2003 (Portugal financed by the European Community Fund FEDER, by the French-Portuguese collaboration (PESSOA Program, Contract No. 441.00), and by the Accoes Integradas Luso-Francesas (Contract No. F-11/09). The work of A. S. was supported by the Helmholtz Gemeinschaft (Nachwuchsgruppe VH-NG-421). Laboratoire Kastler Brossel is "Unite Mixer de Recherche du CNRS, de l'ENS et de l'UPMC No. 8552." P. I. acknowledges the support of the Helmholtz Allianz Program of the Helmholtz Association, under Contract No. HA-216, "Extremes of Density and Temperature: Cosmic Matter in the Laboratory." P. A. acknowledges the support of the FCT, under Contract No. SFRH/BD/37404/2007.

PY - 2009/6/9

Y1 - 2009/6/9

N2 - A theoretical study of the all two-photon transitions from initial bound states with ni =2,3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1≤Z≤92 are obtained through the use of finite basis sets for the Dirac equation constructed from B splines. We also report the spectral (energy) distributions of several resonant transitions, which exhibit interesting structures, such as zeros in the emission spectrum, indicating that two-photon emission is strongly suppressed at certain frequencies. We compare two different approaches (the line profile approach and the QED approach based on the analysis of the relativistic two-loop self-energy) to regularize the resonant contribution to the decay rate. Predictions for the pure two-photon contributions obtained in these approaches are found to be in good numerical agreement.

AB - A theoretical study of the all two-photon transitions from initial bound states with ni =2,3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1≤Z≤92 are obtained through the use of finite basis sets for the Dirac equation constructed from B splines. We also report the spectral (energy) distributions of several resonant transitions, which exhibit interesting structures, such as zeros in the emission spectrum, indicating that two-photon emission is strongly suppressed at certain frequencies. We compare two different approaches (the line profile approach and the QED approach based on the analysis of the relativistic two-loop self-energy) to regularize the resonant contribution to the decay rate. Predictions for the pure two-photon contributions obtained in these approaches are found to be in good numerical agreement.

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Resonance effects on the two-photon emission from hydrogenic ions

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