SUSY SUPERPOTENTIALS FOR A CONFINED HULTHÉN POTENTIAL

A system consisting of an ion and an electron interacting through the Hulthén potential confined in an impenetrable spherical box, with the ion at the centre is considered. Superpotential which is the crucial quantity in supersymmetric quantum mechanics is proposed for the 1s and 2p states. Variational wave functions are thence derived. Energies are calculated from these for different values of the radius of box (R) and these are compared to the exact values; good agreement is shown to exist between the two. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s→2p transition and the dipole polarizability for different values of R.

Wave functions for the hydrogen atom in a dense plasma

A hydrogen atom in a high-density plasma is simulated by a model in which the hydrogen atom is confined in an impenetrable spherical box, with the atom at the centre. For the proton–electron interaction the Debye–Huckel potential is used. Variational wave functions are proposed for the 1s and 2p states. Energies calculated from these for different values of the radius of box (r0) are shown to be in good agreement with the exact values. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s [Formula: see text] 2p transition and the dipole polarizability for different values of r0. PACS Nos.: 03.65.Ge, 32.70.Os, 31.70.Dk, 52.20.–j

The influence of hyperfine structure on some manganese line profiles in the solar spectrum

Taking into account effects of hyperfine structure, we calculated the synthetic solar spectrum for wavelength intervals around nine neutral manganese lines. To estimate values of hyperfine components we used the Oxford total absorption oscillator strength measurements (Booth et al. 1983). We compared observed profiles (Photometric Atlas of the Solar Spectrum from 3000 to 10000 ?(Delbouille et al. 1973)) of selected manganese lines with synthesized profiles in two cases: when hyperfine structure is not and when it is taken into account. By comparing the calculated with observed spectrum, we corrected the total oscillator strengths of all nine selected manganese lines.

Beam–foil spectroscopy of sulfur in the vacuum ultraviolet

We report mean-life results for 16 terms in S III–S VI, obtained from vacuum ultraviolet transitions in sulfur excited by beam–foil interaction. Ten of the mean lives have been measured for the first time. Many of the mean lives reported here are in the neighborhood of 0.1 ns, beyond the time resolution capability of a previous experiment, as indicated by comparison of results for five of the remaining six terms. For those transitions that are unbranched. we have computed the absorption oscillator strength and we discuss the values in the context of isoelectronic-sequence trends. In an appendix, we discuss the determination of short mean lives and describe the apparatus we have developed to measure them, and its limitations.