Artículo
Gasaneo, G.; Mitnik, D.M.; Frapiccini, A.L.; Colavecchia, F.D.; Randazzo, J.M. "Theory of hyperspherical sturmians for three-body reactions" (2009) Journal of Physical Chemistry A. 113(52):14573-14582
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Abstract:
In this paper we present a theory to describe three-body reactions. Fragmentation processes are studied by means of the Schrödinger equation in hyperspherical coordinates. The three-body wave function is written as a sum of two terms. The first one defines the initial channel of the collision while the second one describes the scattered wave, which contains all the information about the collision process. The dynamics is ruled by an nonhomogeneous equation with a driven term related to the initial channel and to the three-body interactions. A basis set of functions with outgoing behavior at large values of hyperradius is introduced as products of angular and radial hyperspherical Sturmian functions. The scattered wave is expanded on this basis and the nonhomogeneous equation is transformed into an algebraic problem that can be solved by standard matrix methods. To be able to deal with general systems, discretization schemes are proposed to solve the angular and radial Sturmian equations. This procedure allows these discrete functions to be connected with the hyperquatization algorithm. Finally, the fragmentation transition amplitude is derived from the asymptotic limit of the scattered wave function. © 2009 American Chemical Society.
Registro:
| Documento: | Artículo |
| Título: | Theory of hyperspherical sturmians for three-body reactions |
| Autor: | Gasaneo, G.; Mitnik, D.M.; Frapiccini, A.L.; Colavecchia, F.D.; Randazzo, J.M. |
| Filiación: | Departamento de Física, Universidad Nacional Del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, 8000 Bahía Blanca, Buenos Aires, Argentina Instituto de Astronomía y Física Del Espacio, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad de Buenos Aires, C. C. 67, Suc. 28, (C1428EGA) Buenos Aires, Argentina División Colisiones Atómicas, Centro Atómico Bariloche, Consejo Nacional de Investigaciones Científicas y Técnicas, 8400 S. C. de Bariloche, Río Negro, Argentina |
| Palabras clave: | Asymptotic limits; Basis sets; Collision process; Dinger equation; Discrete functions; Discretization scheme; Fragmentation process; Hyperspherical; Hyperspherical coordinates; Nonhomogeneous equations; Scattered waves; Standard matrix method; Sturmian; Three-body interaction; Three-body wave functions; Transition amplitudes; Wave functions |
| Año: | 2009 |
| Volumen: | 113 |
| Número: | 52 |
| Página de inicio: | 14573 |
| Página de fin: | 14582 |
| DOI: | http://dx.doi.org/10.1021/jp9040869 |
| Título revista: | Journal of Physical Chemistry A |
| Título revista abreviado: | J Phys Chem A |
| ISSN: | 10895639 |
| CODEN: | JPCAF |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10895639_v113_n52_p14573_Gasaneo |
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Citas:
---------- APA ----------
Gasaneo, G., Mitnik, D.M., Frapiccini, A.L., Colavecchia, F.D. & Randazzo, J.M. (2009) . Theory of hyperspherical sturmians for three-body reactions. Journal of Physical Chemistry A, 113(52), 14573-14582.http://dx.doi.org/10.1021/jp9040869
---------- CHICAGO ----------
Gasaneo, G., Mitnik, D.M., Frapiccini, A.L., Colavecchia, F.D., Randazzo, J.M. "Theory of hyperspherical sturmians for three-body reactions" . Journal of Physical Chemistry A 113, no. 52 (2009) : 14573-14582.http://dx.doi.org/10.1021/jp9040869
---------- MLA ----------
Gasaneo, G., Mitnik, D.M., Frapiccini, A.L., Colavecchia, F.D., Randazzo, J.M. "Theory of hyperspherical sturmians for three-body reactions" . Journal of Physical Chemistry A, vol. 113, no. 52, 2009, pp. 14573-14582.http://dx.doi.org/10.1021/jp9040869
---------- VANCOUVER ----------
Gasaneo, G., Mitnik, D.M., Frapiccini, A.L., Colavecchia, F.D., Randazzo, J.M. Theory of hyperspherical sturmians for three-body reactions. J Phys Chem A. 2009;113(52):14573-14582.http://dx.doi.org/10.1021/jp9040869
