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...
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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_05562813_v22_n2_p575_Hernandez |
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| Sumario: | 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. |
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