An analytically solvable model to test the hyperspherical Sturmian approach for break up processes
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...
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | CONF |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_17426588_v388_nPART4_p_Gasaneo |
| Aporte de: |
| id |
todo:paper_17426588_v388_nPART4_p_Gasaneo |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_17426588_v388_nPART4_p_Gasaneo2023-10-03T16:30:48Z An analytically solvable model to test the hyperspherical Sturmian approach for break up processes Gasaneo, G. Mitnik, D.M. Ancarani, L.U. Randazzo, J.M. Colavecchia, F.D. Frapiccini, A.L. Wave functions Analytic expressions Closed form solutions Dinger equation Hyperspherical coordinates Non-homogeneous Particles break-up Scattering process Transition amplitudes Atoms 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17426588_v388_nPART4_p_Gasaneo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Wave functions Analytic expressions Closed form solutions Dinger equation Hyperspherical coordinates Non-homogeneous Particles break-up Scattering process Transition amplitudes Atoms |
| spellingShingle |
Wave functions Analytic expressions Closed form solutions Dinger equation Hyperspherical coordinates Non-homogeneous Particles break-up Scattering process Transition amplitudes Atoms Gasaneo, G. Mitnik, D.M. Ancarani, L.U. Randazzo, J.M. Colavecchia, F.D. Frapiccini, A.L. An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| topic_facet |
Wave functions Analytic expressions Closed form solutions Dinger equation Hyperspherical coordinates Non-homogeneous Particles break-up Scattering process Transition amplitudes Atoms |
| description |
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. |
| format |
CONF |
| author |
Gasaneo, G. Mitnik, D.M. Ancarani, L.U. Randazzo, J.M. Colavecchia, F.D. Frapiccini, A.L. |
| author_facet |
Gasaneo, G. Mitnik, D.M. Ancarani, L.U. Randazzo, J.M. Colavecchia, F.D. Frapiccini, A.L. |
| author_sort |
Gasaneo, G. |
| title |
An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| title_short |
An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| title_full |
An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| title_fullStr |
An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| title_full_unstemmed |
An analytically solvable model to test the hyperspherical Sturmian approach for break up processes |
| title_sort |
analytically solvable model to test the hyperspherical sturmian approach for break up processes |
| url |
http://hdl.handle.net/20.500.12110/paper_17426588_v388_nPART4_p_Gasaneo |
| work_keys_str_mv |
AT gasaneog ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT mitnikdm ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT ancaranilu ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT randazzojm ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT colavecchiafd ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT frapiccinial ananalyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT gasaneog analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT mitnikdm analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT ancaranilu analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT randazzojm analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT colavecchiafd analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses AT frapiccinial analyticallysolvablemodeltotestthehypersphericalsturmianapproachforbreakupprocesses |
| _version_ |
1782029139826442240 |