Abstract
Two identical heavy-ions represented by Fermi gases of cubic shape collide and coalesce to form a rectangular shape. The energy release due to the coalescence is estimated by using simple model and the energy of the coalescent nucleus is calculated as a function of the shape parameters. We find that a rectangular shape, which is compressed in the direction of collision, is energetically more favoured.
The structure of the coalescent nucleus is next investigated. It is expressed as a superposition ofn-particlen-hole states. We find that the probability distribution ofn-particlen-hole states has a Gaussian form and its peak value ofn is proportional to the excitation energy, while the width is proportional to the square root of the excitation energy. The average energy of then-particlen-hole states is found to be approximatelynε F whereε F is the Fermi energy. Finally discussions are given in connection with experimental data.
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We should like to thank Dr. N. Takigawa for his reading the manuscript and giving useful comments and Mr. K. Ikeda for his checking the formulae. Thanks are also due to Prof. N. Onishi for his providing the recurrence formula which made the computation time shorter. This research was partly supported by the Grant-in-aid for Scientific Research Contract #58540140 from the Japanese Ministry of Education, Science and Culture.
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Yoshida, S., Morinaga, H. Coalescence process in heavy-ion collisions based on schematic model. Z Physik A 317, 173–186 (1984). https://doi.org/10.1007/BF01421252
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DOI: https://doi.org/10.1007/BF01421252