CFA FCT/UNL is one of the two scientific groups of Centro de Física Atómica (CFA). Most of its members belong to Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa (FCTUNL).
Calculation of two-photon decay rates of hydrogen-like ions by using B-polynomials
| Title | Calculation of two-photon decay rates of hydrogen-like ions by using B-polynomials |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Amaro, P., Surzhykov A., Parente F., Indelicato P., and Santos J. P. |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 44 |
| Pagination | 245302 |
| ISBN Number | 1751-8121 |
| Abstract | 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 2 s 1/2 ‚Üí 1 s 1/2 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. |
| URL | http://stacks.iop.org/1751-8121/44/i=24/a=245302 |
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