Low-energy expansion of the Jost function for long-range potentials
- Department of Chemistry, University of Rome 'La Sapienza', Piazzale Aldo Moro 5, I-00185 Rome (Italy)
The low-energy behavior of the partial-wave Jost function for scattering by a long-range 1/r{sup s} (s>2) central potential is investigated analytically using the linear variant of the variable-phase equation. An exact expansion of the Jost function in powers of the wave number k is derived iteratively and shown to be simpler compared to the modified effective-range expansion of the phase shift. Improved expansions are determined explicitly for s=3 and s=4. It is suggested that the Jost function offers a practical alternative for interpolating low-energy cross sections and extracting scattering lengths; this is illustrated by fitting the Jost function, up to a normalizing constant, to the integral cross section for elastic collisions of slow electrons with N{sub 2} molecules.
- OSTI ID:
- 20974750
- Journal Information:
- Physical Review. A, Vol. 74, Issue 5; Other Information: DOI: 10.1103/PhysRevA.74.052715; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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