Analytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions

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dc.creatorKlemm, Anthony D.
dc.creatorLarsen, Sigurd Yves
dc.date2001-05-14
dc.date.accessioned2026-07-07T05:45:48Z
dc.date.available2026-07-07T05:45:48Z
dc.descriptionFor a particular case of three-body scattering in 2 dimensions, we demonstrate analytically that the behaviour of the adiabatic potential is different from that of the hyperspherical coupling matrix elements, thereby leading to a phase shift that tends to zero, as the energy goes to zero, instead of to a constant. We consider two particles interacting with binary repulsive step potentials, one acting as a spectator, and solve analytically for the adiabatic eigenvalues and eigenvectors, for all values of rho. We are thereby able to obtain the leading terms in the long range behaviour of the effective potentials, and confirm its inverse logarithmic nature, suggested from a previous numerical study.
dc.description11 pages, submitted to the Physical Review. Permanent e_mail: syl@astro.temple.edu
dc.identifierhttps://arxiv.org/abs/physics/0105041
dc.identifierhttp://arxiv.org/abs/physics/0105041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84122
dc.subjectChemical Physics
dc.subjectAtomic and Molecular Clusters
dc.subjectGeneral Physics
dc.titleAnalytical Expressions for a Hyperspherical Adiabatic Basis Three Particles in 2 Dimensions
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