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The role of resonances in building cross sections: The Mittag‐Leffler expansion in a two‐channel scattering
Author(s) -
Shilyaeva Ksenia,
Elander Nils,
Yarevsky Evgeny
Publication year - 2008
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21807
Subject(s) - scattering , formalism (music) , cross section (physics) , channel (broadcasting) , physics , resonance (particle physics) , s matrix , r matrix , matrix (chemical analysis) , wave function , quantum mechanics , chemistry , mathematical physics , quantum electrodynamics , atomic physics , telecommunications , computer science , art , musical , chromatography , visual arts
Abstract The Mittag‐Leffler formalism for identifying resonance contributions to a two‐body scattering cross section is extended here from the one channel case to the two channel case. The reduced partial wave cross sections based on subtracting S‐matrix residues are compared with expressions which can be derived from the Breit‐Wigner approximation. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009