Scattering length for Lennard-Jones potentials

Abstract

We present an exact procedure that allows one to calculate the scattering lenth for any potential expressed as an algebraic sum of inverse powers of the interatomic distance. We apply it to (12, $s$) Lennard-Jones potentials, with different values of $s$. The procedure is suitable for a very precise determination of the intensities of the potential corresponding to zeros or poles of the scattering length.

The original publication is available at http://www.epj.org

References in corpus (4)

• Controlled collisions of a single atom and ion guided by movable trapping potentials
• The variable phase method used to calculate and correct scattering lengths
• Quantum anharmonic oscillators: a new approach
• Dilute Bose gases interacting via power-law potentials

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• Scattering by infinitely rising one-dimensional potentials