Photodetachment of Rb-, Cs- and Fr-: A new boundary-corrected Pauli equation approach
Dept. of Physics, Kansas State University, Manhattan, KS
Dept.s of Physics Kansas State University, Manhattan and Lamar University, Beaumont, TX
I. I. Fabrikant
Dept. of Physics and Astronomy, University of Nebraska, Lincoln
As a weak relativistic limit of the exact Dirac equation, the Pauli equation includes the spin-dependent potential VLS added to the non-relativistic, spin-independent Coulomb potential V . For a Coulomb potential, VLS has a non-physical singularity 1/r3 at r = 0, and the PE-approach breaks down. Various regularization functions have been suggested to remove this singularity . Based on the exact analytic solution of the Dirac equation near the nucleus, we formulated boundary conditions for solving the PE for an electron interacting with an atom . By integrating the PE using an effective potential Veff that is adjusted to reproduce scattering phase shifts provided by exact Dirac R-matrix calculations, we calculated angle-differential and total photodetachment (PD) cross sections. Our 3Po1 resonance contribution to the PD cross section of Cs- agrees (in position and width) with recent experiments , after fine-tuning Veff.
 C. Bahrim, I. I. Fabrikant, and U. Thumm, Phys. Rev. Lett. 87, 123003 (2001), and refs. therein.
 M. Scheer et al., Phys. Rev. Lett. 80, 684 (1998).
This work was supported by the
Chemical Sciences, Geosciences and Biosciences Division,
Office of Basic Energy Sciences, Office of Science, U.S. Department of Energy.
Submitted to GEC02, October 2002 in Minneapolis, MN.
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