Analytical expression for the convolution of a Fano line profile with a Gaussian

Asymmetric Fano line profiles are frequently encountered, e.g., in the photoionization spectra of atoms and ions. For the fitting of spectral line profiles to experimental spectra the line profiles have to be convolved with the experimental window function. The latter is often taken to be a Gaussian. It is shown that the convolution can be represented by a rather simple analytic expression involving the Faddeeva function for the evaluation of which efficient and accurate numerical algorithms are available.Comment: Refined version, old figure removed, new figure, new references, expanded discussion, accepted for publication by the Journal of Quantitative Spectroscopy and Radiative Transfe

Storage-Ring Measurements of Hyperfine Induced Transition Rates in Berylliumlike Ions

The status of experimental measurements and theoretical calculations of the hyperfine induced 2s2p 3P0 -> 2s2 1S0 transition rate in Be-like ions is reviewed. Possible reasons, such as external electromagnetic fields and competing E1M1 two-photon transitions, for presently existing significant discrepancies between experiment and theory are discussed. Finally, directions for future research are outlined.Comment: 10 pages, 4 figures, 30 references, submitted to the proceedings of the 8th International Conference on Atomic and Molecular Data and Their Applications (ICAMDATA), Gaithersburg, USA, September 30 - October 4, 201

A complex structure on the moduli space of rigged Riemann surfaces

The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator algebras, we generalize the parametrizations to quasisymmetric maps. For a precise mathematical definition of CFT (in the sense of G. Segal), it is necessary that the moduli space of these Riemann surfaces be a complex manifold, and the sewing operation be holomorphic. We report on the recent proofs of these results by the authors