An analytically solvable model for three particles break up processes is presented. The scattering process is represented by a non-homogeneous Schrödinger equation where the driven term is given by a Yukawa-like interaction multiplied by the product of a continuum wave function and a bound state in the particles coordinates. A closed form solution is derived in hyperspherical coordinates (ρ,α). This leads to an analytic expression for the transition amplitude associated to the scattering process. This model is used to test calculations performed within the frame of an hyperspherical Sturmian approach.
Documento: | Conferencia |
Título: | An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
Autor: | Gasaneo, G.; Mitnik, D.M.; Ancarani, L.U.; Randazzo, J.M.; Colavecchia, F.D.; Frapiccini, A.L. |
Ciudad: | Belfast |
Filiación: | Departamento de Física, UNS, CONICET, Av. Alem 1253, Bahía Blanca, 8000, Argentina Departamento de Física, UBA, Instituto de Astronomía y Física Del Espacio (IAFE) CONICET, (C1428EGA) Buenos Aires, Argentina Laboratoire de Physique Moléculaire et des Collisions, Université Paul Verlaine-Metz, Metz, 57078, France División Colisiones Atómicas, CAB, CONICET, 8400 S. C. de Bariloche, Río Negro, Argentina |
Palabras clave: | Wave functions; Analytic expressions; Closed form solutions; Dinger equation; Hyperspherical coordinates; Non-homogeneous; Particles break-up; Scattering process; Transition amplitudes; Atoms |
Año: | 2012 |
Volumen: | 388 |
Número: | PART 4 |
DOI: | http://dx.doi.org/10.1088/1742-6596/388/4/042028 |
Título revista: | 27th International Conference on Photonic, Electronic and Atomic Collisions, ICPEAC 2011 |
Título revista abreviado: | J. Phys. Conf. Ser. |
ISSN: | 17426588 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v388_nPART4_p_Gasaneo |