TY - JOUR

T1 - Calculation of two-photon decay rates of hydrogen-like ions by using B-polynomials

AU - Amaro, P.

AU - Surzhykov, A.

AU - Parente, F.

AU - Indelicato, P.

AU - Santos, J. P.

N1 - This research was supported in part by FCT, by the French-Portuguese collaboration (PESSOA Program, contract no 441.00), by the Accoes Integradas Luso-Francesas (contract no F-11/09) and by the Programme Hubert Curien and Accoes Integradas Luso-Alemas (contract no 20022VB and A-19/09). The work of AS was supported by the Helmholtz Gemeinschaft (Nachwuchsgruppe VH-NG-421) and by the Deutscher Akademischer Austauschdienst (DAAD) under the project no 0813006. Laboratoire Kastler Brossel is 'Unite Mixte de Recherche du CNRS, de l' ENS et de l'UPMC no 8552'. PI acknowledges the support of the Helmholtz Allianz Program of the Helmholtz Association, contract HA-216 'Extremes of Density and Temperature: Cosmic Matter in the Laboratory'. PA acknowledges the support of the FCT, contract SFRH/BD/37404/2007.

PY - 2011/6/17

Y1 - 2011/6/17

N2 - A new approach is laid out to investigate two-photon atomic transitions. It is based on the 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-order (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 2s1/2 → 1s1/2 transition in neutral hydrogen and hydrogen-like ions, which are compared with the theoretical predictions based on the well-established B-spline basis-set approach.

AB - A new approach is laid out to investigate two-photon atomic transitions. It is based on the 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-order (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 2s1/2 → 1s1/2 transition in neutral hydrogen and hydrogen-like ions, which are compared with the theoretical predictions based on the well-established B-spline basis-set approach.

UR - http://www.scopus.com/inward/record.url?scp=79956307849&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/44/24/245302

DO - 10.1088/1751-8113/44/24/245302

M3 - Article

AN - SCOPUS:79956307849

VL - 44

JO - Journal Of Physics A-Mathematical And Theoretical

JF - Journal Of Physics A-Mathematical And Theoretical

SN - 1751-8113

IS - 24

M1 - 245302

ER -