Effect of long-range interactions on low-energy scattering parameters: Variational formulation

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.55.2857· OSTI ID:530937

Rosenberg, L ^[1]

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1. Department of Physics, New York University, New York, New York 10003 (United States)

A systematic treatment is presented of near-threshold electron-atom scattering based on a variational principle. Results obtained here extend the modified effective-range theory derived some time ago (in which long-range polarization forces are taken into account) by providing a prescription, based on a minimum principle, for calculating the effective-range parameters. With the aid of perturbation-theory methods introduced recently for obtaining asymptotic solutions of the wave equation for scattering by a superposition of long-range power-law potentials [see M. J. Cavagnero, Phys. Rev. A {bold 50}, 2841 (1994)], higher-order corrections to the modified effective-range expansion in powers of the polarizability parameters are readily obtained. Explicit examples are provided. The theory is developed for both single-channel and multichannel scattering. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 530937
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 55; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRON-ATOM COLLISIONS
PERTURBATION THEORY
POLARIZABILITY
SCATTERING
VARIATIONAL METHODS
WAVE EQUATIONS