We have derived simplified formulas for the transition probability from an entrance channel |i to an exit channel |f that corresponds to a heavy-ion reaction. It is shown that a rearrangement of the perturbation series leads to an expansion of the cross section in terms of the ratio y between the duration of a nucleon-nucleon collision and the elapsed time between two successive interactions. The cross section splits into two contributions, the Markovian part independent of y, and the non-Markovian one containing explicit y dependence. Such a decomposition allows us to demonstrate that a transition from the Markovian to the non-Markovian behavior is to be expected around 20 MeV per particle in the initial channel. This transition manifests itself in a change in the slope of the width of the mass distribution as a function of the incident energy. This fact seems to be in agreement with existing data. NUCLEAR REACTIONS Heavy-ion reactions, Gaussian random matrix ensembles, perturbative expansion, ratio between characteristic times. Mark-ovian and non-Markovian contributions to the cross section. © 1980 The American Physical Society.
Documento: | Artículo |
Título: | Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
Autor: | Hernandez, E.S.; Mantzouranis, G. |
Filiación: | Nuclear Science Division, Lawrence Berkeley Laboratory, Berkeley, CA 94720, United States Departmento de Fisica, Facultad de Ciencias Exactas y Naturales, 1428 Buenos Aires, Argentina |
Año: | 1980 |
Volumen: | 22 |
Número: | 2 |
Página de inicio: | 575 |
Página de fin: | 582 |
DOI: | http://dx.doi.org/10.1103/PhysRevC.22.575 |
Título revista: | Physical Review C |
ISSN: | 05562813 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v22_n2_p575_Hernandez |