Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon
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 du...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_05562813_v22_n2_p575_Hernandez |
| Aporte de: |
| id |
todo:paper_05562813_v22_n2_p575_Hernandez |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_05562813_v22_n2_p575_Hernandez2023-10-03T15:34:29Z Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon Hernandez, E.S. Mantzouranis, G. 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. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05562813_v22_n2_p575_Hernandez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Hernandez, E.S. Mantzouranis, G. |
| spellingShingle |
Hernandez, E.S. Mantzouranis, G. Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| author_facet |
Hernandez, E.S. Mantzouranis, G. |
| author_sort |
Hernandez, E.S. |
| title |
Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| title_short |
Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| title_full |
Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| title_fullStr |
Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| title_full_unstemmed |
Markovian and non-Markovian effects in heavy-ion reactions at 10 -200 MeV per nucleon |
| title_sort |
markovian and non-markovian effects in heavy-ion reactions at 10 -200 mev per nucleon |
| url |
http://hdl.handle.net/20.500.12110/paper_05562813_v22_n2_p575_Hernandez |
| work_keys_str_mv |
AT hernandezes markovianandnonmarkovianeffectsinheavyionreactionsat10200mevpernucleon AT mantzouranisg markovianandnonmarkovianeffectsinheavyionreactionsat10200mevpernucleon |
| _version_ |
1807317982981914624 |