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Abstract:

A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation in which the driven term is given by a Coulomb-like interaction multiplied by the product of a continuum wavefunction and a bound state in the particles' coordinates. The model contains most of the difficulties encountered in a real three-body scattering problem, e.g., non-separability in the electrons' spherical coordinates and Coulombic asymptotic behaviour, and thus provides an interesting benchmark for numerical methods. Since the Sturmian basis functions are constructed so as to include the correct asymptotic behaviour, a very fast convergence of the scattering wavefunction is observed. Excellent agreement is found with the analytical results for the associated transition amplitude. This holds true down to very low energies, a domain which is usually challenging as it involves huge spatial extensions. Within our method, such calculations can be performed without increasing significantly the computational requirements. © 2013 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem
Autor:Mitnik, D.M.; Gasaneo, G.; Ancarani, L.U.
Filiación:Instituto de Astronomía y Física Del Espacio (IAFE), FCEyN, Universidad de Buenos Aires, C.C. 67, Suc. 28, (C1428EGA) Buenos Aires, Argentina
Departamento de Física, Universidad Nacional Del sur, 8000 Bahía Blanca, Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Laboratoire de Physique Moléculaire et des Collisions, UMR CNRS 7565, Université de Lorraine, 57078 Metz, France
Palabras clave:Analytical results; Asymptotic behaviour; Basis functions; Bound state; Computational requirements; Dinger equation; Fast convergence; Hyperspherical; Model problems; Non-homogeneous; Non-separability; S-wave models; Scattering problems; Scattering process; Spatial extension; Spherical coordinates; Sturmian; Transition amplitudes; Asymptotic analysis; Scattering
Año:2013
Volumen:46
Número:1
DOI: http://dx.doi.org/10.1088/0953-4075/46/1/015202
Título revista:Journal of Physics B: Atomic, Molecular and Optical Physics
Título revista abreviado:J Phys B At Mol Opt Phys
ISSN:09534075
CODEN:JPAPE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v46_n1_p_Mitnik

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Citas:

---------- APA ----------
Mitnik, D.M., Gasaneo, G. & Ancarani, L.U. (2013) . Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem. Journal of Physics B: Atomic, Molecular and Optical Physics, 46(1).
http://dx.doi.org/10.1088/0953-4075/46/1/015202
---------- CHICAGO ----------
Mitnik, D.M., Gasaneo, G., Ancarani, L.U. "Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem" . Journal of Physics B: Atomic, Molecular and Optical Physics 46, no. 1 (2013).
http://dx.doi.org/10.1088/0953-4075/46/1/015202
---------- MLA ----------
Mitnik, D.M., Gasaneo, G., Ancarani, L.U. "Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem" . Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 46, no. 1, 2013.
http://dx.doi.org/10.1088/0953-4075/46/1/015202
---------- VANCOUVER ----------
Mitnik, D.M., Gasaneo, G., Ancarani, L.U. Use of generalized hyperspherical Sturmian functions for a three-body break-up model problem. J Phys B At Mol Opt Phys. 2013;46(1).
http://dx.doi.org/10.1088/0953-4075/46/1/015202