Negative-continuum effects on the two-photon decay rates of hydrogenlike ions

Surzhykov, A.; Santos, J. P.; Amaro, Pedro; Indelicato, P.

doi:10.1103/physreva.80.052511

Cited by 18 publications

(27 citation statements)

References 45 publications

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“…As such, Lagrange bases can be used to investigate other properties of two-photon transitions, such as resonances [24] and negative-continuum [19] effects or angular correlation and degree of linear polarization [26].…”

Section: Discussionmentioning

confidence: 99%

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Relativistic two-photon decay rates with the Lagrange-mesh method

2016

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Relativistic two-photon decay rates of the 2s 1/2 and 2p 1/2 states towards the 1s 1/2 ground state of hydrogenic atoms are calculated by using numerically exact energies and wave functions obtained from the Dirac equation with the Lagrange-mesh method. This approach is an approximate variational method taking the form of equations on a grid because of the use of a Gauss quadrature approximation. Highly accurate values are obtained by a simple calculation involving different meshes for the initial, final, and intermediate wave functions and for the calculation of matrix elements. The accuracy of the results with a Coulomb potential is improved by several orders of magnitude in comparison with benchmark values from the literature. The general requirement of gauge invariance is also successfully tested, down to rounding errors. The method provides high accuracies for two-photon decay rates of a particle in other potentials and is applied to a hydrogen atom embedded in a Debye plasma simulated by a Yukawa potential.

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Section: Discussionmentioning

confidence: 99%

“…Equation (14) for the decay rate, which depends quadratically on G [7], is called incoherent in the literature [19]. However, a gauge transformation [16] gives rise to the electric E and magnetic M matrix elements…”

Section: Relativistic Formulationmentioning

confidence: 99%

Relativistic two-photon decay rates with the Lagrange-mesh method

2016

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“…Not much has to be said about the theoretical background for describing such a second-order process. In the past, relativistic calculations of both, the total and the differential two-photon decay rates have been discussed in detail elsewhere [4,19,20,37]. Below, therefore, we will repeat just basic expressions, relevant for discussing the role of the finite basis-sets in the two-photon calculations.…”

Section: Two-photon Decay Ratesmentioning

confidence: 99%

Calculation of two-photon decay rates of hydrogen-like ions by using B-polynomials

Amaro

Surzhykov

Parente

et al. 2011

J. Phys. A: Math. Theor.

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Abstract.A new approach is laid out to investigate the two-photon atomic transitions. It is based on application of the finite basis solutions constructed from the Bernstein Polynomial (B-Polynomial) sets. We show that such an approach provides a very promising route for the relativistic second-(and even higher-order) calculations since it allows for analytical evaluation of the involved matrices elements. In order to illustrate possible applications of the method and to verify its accuracy, detailed calculations are performed for the 2s 1/2 → 1s 1/2 transition in neutral hydrogen and hydrogen-like ions, and are compared with the theoretical predictions based on the well-established B-spline-basis-set approach.

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“…Apart from the one-photon bound-bound transitions, the two-photon decays of metastable ionic states have also attracted much interest since the analysis of its properties may reveal unique information about the complete spectrum of the ion, including negative energy (positron) solutions of Dirac's equation. Until now, however, most two-photon studies were focused on measuring the total and energy-differential decay rates [4][5][6][7][8][9][10] which were found in good agreement with theoretical predictions, based on relativistic calculations [11][12][13][14][15][16][17][18][19][20]. In contrast, much less attention has been previously paid to the angular and polarization correlations between the emitted photons.…”

Section: Introductionmentioning

confidence: 95%

Angular correlations in the two-photon decay of heliumlike heavy ions

et al. 2010

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The two-photon decay of heavy, helium-like ions is investigated based on second-order perturbation theory and Dirac's relativistic equation. Special attention has been paid to the angular emission of the two photons (i.e., how the angular correlation function depends on the shell structure of the ions in their initial and final states). Moreover, the effects from the (electric and magnetic) nondipole terms in the expansion of the electron-photon interaction are discussed. Detailed calculations have been carried out for the two-photon decay of the 1s2s 1 S 0 , 1s2s 3 S 1 , and 1s2p 3 P 0 states of helium-like Xe 52+ , Au 77+ , and U 90+ ions.A. SURZHYKOV et al. PHYSICAL REVIEW A 81, 042510 (2010)

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Negative-continuum effects on the two-photon decay rates of hydrogenlike ions

Cited by 18 publications

References 45 publications

Relativistic two-photon decay rates with the Lagrange-mesh method

Relativistic two-photon decay rates with the Lagrange-mesh method

Calculation of two-photon decay rates of hydrogen-like ions by using B-polynomials

Angular correlations in the two-photon decay of heliumlike heavy ions

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