Mass dispersion in transfer reactions with a stochastic mean-field theory

Washiyama, Kouhei
Ayik, Sakir
Lacroix, Denis
Nucleon transfer in symmetric heavy-ion reactions at energies below the Coulomb barrier is investigated in the framework of a microscopic stochastic mean-field theory. Although mean field alone is known to significantly underpredict the dispersion of the fragment mass distribution, a considerable enhancement of the dispersion is obtained in the stochastic mean-field theory. The variance of the fragment mass distribution deduced from the stochastic theory scales with the number of exchanged nucleons. Therefore, the new approach provides the first fully microscopic theory consistent with the phenomenological analysis of the experimental data.


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Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of U-238 + U-238 in the framework of the stochastic mean-field (SMF) approach. For bombarding energies considered in this work, the dinuclear structure is maintained during the collision. Hence, it is possible to describe nucleon exchange as a diffusion process for mass and charge asymmetry. Quantal neutron and proton diffusion coefficients, including memory effects, are extracted from the SMF approach and the primary fragm...
Quantal description of nucleon exchange in a stochastic mean-field approach
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The nucleon exchange mechanism is investigated in central collisions of symmetric heavy ions in the basis of the stochastic mean-field approach. Quantal diffusion coefficients for nucleon exchange are calculated by including non-Markovian effects and shell structure. Variances of fragment mass distributions are calculated in central collisions of Ca-40 + Ca-40, Ca-48 + Ca-48, and N-56 i+ Ni-56 systems.
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Citation Formats
K. Washiyama, S. Ayik, and D. Lacroix, “Mass dispersion in transfer reactions with a stochastic mean-field theory,” PHYSICAL REVIEW C, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: