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dc.contributor.author | Rakityansky, Sergei Anatoljevich![]() |
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dc.contributor.author | Elander, N.![]() |
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dc.date.accessioned | 2014-06-06T06:23:00Z | |
dc.date.available | 2014-06-06T06:23:00Z | |
dc.date.issued | 2013-12-31 | |
dc.description.abstract | A quantum system is considered that can move in N two-body channels with the potentials that may include the Coulomb interaction. For this system, the Jost matrix is constructed in such a way that all its dependencies on the channel momenta and Sommerfeld parameters are factorized in the form of explicit analytic expressions. It is shown that the two remaining unknown matrices are single-valued analytic functions of the energy and therefore can be expanded in the Taylor series near an arbitrary point within the domain of their analyticity. It is derived a system of firstorder differential equations whose solutions determine the expansion coefficients of these series. Alternatively, the unknown expansion coefficients can be used as fitting parameters for parametrizing experimental data similarly to the effective-range expansion. Such a parametrization has the advantage of preserving proper analytic structure of the Jost matrix and can be done not only near the threshold energies, but around any collision or even complex energy. As soon as the parameters are obtained, the Jost matrix (and therefore the S-matrix) is known analytically on all sheets of the Riemann surface, and thus enables one to locate possible resonances. | en_US |
dc.description.librarian | am2014 | en_US |
dc.description.uri | http://jmp.aip.org/ | en_US |
dc.identifier.citation | Rakityansky, SA & Elander, N 2013, 'Analytic structure of the multichannel Jost matrix for potentials with Coulombic tails', Journal of Mathematical Physics, vol. 54, no. 12, pp. 122112-1-17. | en_US |
dc.identifier.issn | 0022-2488 | |
dc.identifier.other | 10.1063/1.4853855 | |
dc.identifier.uri | http://hdl.handle.net/2263/40026 | |
dc.language.iso | en | en_US |
dc.publisher | American Institute of Physics | en_US |
dc.rights | © 2013 AIP Publishing LLC | en_US |
dc.subject | Analytic structure | en_US |
dc.subject | Multichannel | en_US |
dc.subject | Jost matrix | en_US |
dc.subject | Coulombic tails | en_US |
dc.subject | Quantum system | en_US |
dc.title | Analytic structure of the multichannel Jost matrix for potentials with Coulombic tails | en_US |
dc.type | Article | en_US |