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Resonances and Their Relations to Spectral Densities and Scattering Cross Sections in the Schrodinger Formulation
Stockholm University, Faculty of Science, Department of Physics.
Univ Pretoria, Dept Phys, ZA-002 Pretoria, South Africa .
2013 (English)In: Few-body systems, ISSN 0177-7963, E-ISSN 1432-5411, Vol. 54, no 5-6, 685-695 p.Article in journal (Refereed) Published
Abstract [en]

The concept of resonances for a two-body single and many channel Schrodinger problem is discussed with respect to the Titchmarsh-Weyl theory. It is argued that the contributions from the entire set of resonances together with the free particle spectral density build the entire spectrum. The implication of this statement on the influence of resonances on a two-body scattering cross section is discussed. It is described how the residues of the S-matrix at a complex resonance energy, i.e. two complex numbers, is used to define its contribution to the cross section. The limitations of the Breit-Wigner approximation is discussed.

Place, publisher, year, edition, pages
2013. Vol. 54, no 5-6, 685-695 p.
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-90185DOI: 10.1007/s00601-012-0443-xISI: 000317976800016OAI: diva2:623827
Sida - Swedish International Development Cooperation AgencySwedish Research Council


Available from: 2013-05-28 Created: 2013-05-28 Last updated: 2013-05-28Bibliographically approved

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