Atomic photoionization in a strong magnetic field

Mathematics

Scientific paper

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Atomic Excitations, Hydrogen Atoms, Ionization Cross Sections, Magnetic Fields, Photoionization, Eigenvalues, Electron States, Matrices (Mathematics), Quantum Theory, Stellar Magnetic Fields, Wave Functions

Scientific paper

The photoionization of hydrogen atoms in a strong magnetic field is formulated as a multichannel problem by representing the asymptotic electron-wave function in cylindrical coordinates. Departures from cylindrical symmetry close to the nucleus are incorporated by an R-matrix treatment at short range, which then merges with standard quantum-defect procedures. The R-matrix calculation utilizes the eigenchannel approach, recast in noniterative form. At the field strength treated here, B = 4.7 x 10 to the 9th G, the photoionization cross section displays narrow 'autoionizing' resonances near the excited Landau thresholds.

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