EXA2011

\documentclass{article} \addtolength{\textheight}{-10mm} \addtolength{\topmargin}{-5mm} \pagestyle{plain} \def\title#1{\begin{center}#1\end{center}} \def\author#1{\centerline{\small{\textsc{#1}}}} \def\address#1#2{\begin{center}\small\emph{#1}\\E-mail: \texttt{#2}\end{center}} \def\refname{{\small References}} \begin{document} \title{\textsc{Field Ionization of Antihydrogen in Rydberg States}} \author{V.~S.~Melezhik} \address{Bogoliubov Laboratory of Theoretical Physics, \\ Joint Institute for Nuclear Research, \\ 141980 Dubna, Moscow Region, Russia}{melezhik@theor.jinr.ru} \bigskip \small In experiments on antihydrogen formation the ionization of the antihydrogen atoms in Rydberg states by external fields becomes an actual problem \cite{Enomoto}. To analyze the ionization rates we apply the computational scheme developed earlier for some problems of the muon-catalyzed fusion such as muon sticking to helium \cite{1} and the stripping of the muon from helium ions \cite{2,3}. Particularly, deexcitation and ionization rates of highly excited muonic helium stimulated by strong magnetic field were calculated \cite{2}. This approach was also used for for analyzing the laser-stimulated formation of antihydrogen atoms \cite{4}. Here we suppose to discuss the dependence of the ionization rates of the antihydrogen from the Rydberg states on the parameters of the external fields. \begin{thebibliography}{5}\footnotesize \bibitem{Enomoto} Y.~Enomoto et. al. Phys. Rev. Lett. {\bf 105} 243401 (2010) \bibitem{1}V.S. Melezhik, Hyp. Interac. {\bf 101/102}, 365 (1996) \bibitem{2} V.S. Melezhik and P. Schmelcher, Phys. Rev. {\bf 59}, 4264 (1999). \bibitem{3} V.S. Melezhik, Hyp. Interac. {\bf 138}, 202 (2001) \bibitem{4} V.S. Melezhik, Hyp. Interac. {\bf 193}, 329 (2009) \end{thebibliography} \end{document}