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Numerical Regge pole analysis of resonance structures in elastic, inelastic and reactive state-to-state integral cross sections

Authors: Elena Akhmatskaya; Elena Akhmatskaya; C. Echeverría-Arrondo; Dmitri Sokolovski; Dmitri Sokolovski;

Numerical Regge pole analysis of resonance structures in elastic, inelastic and reactive state-to-state integral cross sections

Abstract

We present a detailed description of a FORTRAN code for evaluation of the resonance contribution a Regge trajectory makes to the integral state-to-state cross section (ICS) within a specified range of energies. The contribution is evaluated with the help of the Mulholland formula [Macek et al (2004)] and its variants [Sokolovski et al (2007); Sokolovski and Akhmatskaya (2011)]. Regge pole positions and residues are obtained by analytically continuing S-matrix element, evaluated numerically for the physical values of the total angular momentum, into the complex angular momentum plane using the PADE II program [Sokolovski et al (2011)]. The code decomposes an elastic, inelastic, or reactive ICS into a structured, resonance, and a smooth, "direct", components, and attributes observed resonance structure to resonance Regge trajectories. The package has been successfully tested on several models, as well as the F + H2->HF+H benchmark reaction. Several detailed examples are given in the text.

33 pages, 13 figures. arXiv admin note: substantial text overlap with arXiv:2204.05775

Keywords

Atomic and molecular collision, Integral cross-sections, Quantum Physics, Angular momentum, FOS: Physical sciences, S-matrix elements, Resonance, FORTRAN codes, Quantum theory, Poles, S-matrix, Quantum Physics (quant-ph), Resonance structure, Scattering parameters

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
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