Theory of hyperspherical sturmians for three-body reactions

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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...

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Detalles Bibliográficos
Autor principal: Gasaneo, G.
Otros Autores: Mitnik, D.M, Frapiccini, A.L, Colavecchia, Flavio Darío, Randazzo, J.M
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Gasaneo, G. 
245 1 0 |a Theory of hyperspherical sturmians for three-body reactions 
260 |c 2009 
270 1 0 |m Gasaneo, G.; Departamento de Física, Universidad Nacional Del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, 8000 Bahía Blanca, Buenos Aires, Argentina; email: ggasaneo@criba.edu.ar 
504 |a Inouye, S., Andrews, M.R., Stenger, K., Miesner, H.J., Stamperkurn, D.M., Ketterle, W., (1998) Nature, 392, p. 151 
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504 |a Frapiccini, A.L., Gonzalez, V.Y., Randazzo, J.M., Colavecchia, F.D., Gasaneo, G., (2007) Int. J. Quantum Chem., 107, p. 832 
504 |a Randazzo, J.M., Frapiccini, A.L., Colavecchia, F.D., Gasaneo, G., (2009) Phys. Rev. A, 79, p. 022507 
504 |a Frapiccini, A.L., Randazzo, J.M., Gasaneo, G., Colavecchia, F.D., (2009) Int. J. Quantum Chem., , in press 
504 |a Randazzo, J.M., Frapiccini, A.L., Colavecchia, F.D., Gasaneo, G., (2009) Int. J. Quantum Chem., 109, p. 125 
504 |a Randazzo, J.M., (2009), PhD thesis, Instituto Balseiro, S. C. de Bariloche, Argentina; Seideman, T., Miller, W.H., (1992) J. Chem. Phys., 96, p. 4412 
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504 |a Gasaneo, G., Randazzo, J.M., Frapiccini, A.L., Colavecchia, F.D., Phys. Rev. A, , in preparation 
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506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Departamento de Física, Universidad Nacional Del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, 8000 Bahía Blanca, Buenos Aires, Argentina 
593 |a 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 
593 |a División Colisiones Atómicas, Centro Atómico Bariloche, Consejo Nacional de Investigaciones Científicas y Técnicas, 8400 S. C. de Bariloche, Río Negro, Argentina 
690 1 0 |a ASYMPTOTIC LIMITS 
690 1 0 |a BASIS SETS 
690 1 0 |a COLLISION PROCESS 
690 1 0 |a DINGER EQUATION 
690 1 0 |a DISCRETE FUNCTIONS 
690 1 0 |a DISCRETIZATION SCHEME 
690 1 0 |a FRAGMENTATION PROCESS 
690 1 0 |a HYPERSPHERICAL 
690 1 0 |a HYPERSPHERICAL COORDINATES 
690 1 0 |a NONHOMOGENEOUS EQUATIONS 
690 1 0 |a SCATTERED WAVES 
690 1 0 |a STANDARD MATRIX METHOD 
690 1 0 |a STURMIAN 
690 1 0 |a THREE-BODY INTERACTION 
690 1 0 |a THREE-BODY WAVE FUNCTIONS 
690 1 0 |a TRANSITION AMPLITUDES 
690 1 0 |a WAVE FUNCTIONS 
700 1 |a Mitnik, D.M. 
700 1 |a Frapiccini, A.L. 
700 1 |a Colavecchia, Flavio Darío 
700 1 |a Randazzo, J.M. 
773 0 |d 2009  |g v. 113  |h pp. 14573-14582  |k n. 52  |p J Phys Chem A  |x 10895639  |t Journal of Physical Chemistry A 
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