We calculate the 3 S e and 1 S e scattering lengths in low-energy e - + Rb(5s), Cs(6s), and Fr(7s) collisions. Our approach is based on the relativistic version of the modified effective range theory (MERT) and extrapolates eigenphases provided by Dirac R -matrix calculations to zero energy. To test the accuracy of our MERT extrapolation method, we compare the fine-structure components for the lowest 3 P o resonance of Fr - ion with full Dirac R -matrix calculations.
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Bahrim et al. (2001) studied this question.
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