Dimensional scaling for Regge trajectories

S. Kais, G. Beltrame

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Abstract

Using dimensional scaling, we were able to obtain a systematic expansion for Regge trajectories in 1/κ, where κ = (D-1)/2 and D is the number of spatial dimensions. Bound states for the power-law potential were obtained from Regge trajectories by requiring the angular momentum quantum number to take on positive integer values. For scattering states, we calculated the positions of Regge poles for the Lennard-Jones (6,4) and (12,6) potentials. The results to first order in 1/κ were in good agreement with both semiclassical and quantum calculations. The same expansion was used to obtain the positions of Regge poles for complex optical potentials. The results for the Lennard-Jones (12,6) potential perturbed by an imaginary term were in excellent agreement with the semiclassical calculations.

Original languageEnglish
Pages (from-to)2453-2456
Number of pages4
JournalJournal of Physical Chemistry
Volume97
Issue number10
Publication statusPublished - 1 Dec 1993
Externally publishedYes

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ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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