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Partitioning of a two component particle system and the isotope distribution in nuclear fragmentation |
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| Affiliation: | 1. Department of Pathology, Massachusetts General Hospital, Boston, MA 02114;2. Department of Obstetrics and Gynecology, Division of Maternal Fetal Medicine, Massachusetts General Hospital, Boston, MA 02114;3. Tufts University, Medford, MA 02155;1. Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France;2. Université Paris-Saclay, CNRS, GEOPS, 91405 Orsay, France;3. IMPMC, UMR 7590, CNRS, Sorbonne Université, MNHN, IRD, 4 place Jussieu, F-75252 Paris cedex 05, France |
| Abstract: | The general problem of partitioning a finite system consisting of two kinds of particles is solved. Average frequencies of clusters are calculated under the assumption that all partitions are equally probable. Some restrictions to this assumption are considered. In the nuclear case where we have protons and neutrons we have utilized a method of generating partitions in order to calculate the isotopic yields of fragmenting nuclei. The results imply that the neutron/proton and dineutron/diproton ratios might be good probes for the excitation energy of an asymmetric fragmenting nuclear system. |
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