Quantal Diffusion Description of Multi-Nucleon Transfers in Heavy-Ion Collisions

Abstract

Employing the stochastic mean-field (SMF) approach, we develop a quantal diffusion description of the multi-nucleon transfer in heavy-ion collisions at finite impact parameters. The quantal transport coefficients are determined by the occupied single-particle wave functions of the time-dependent Hartree-Fock equations. As a result, the primary fragment mass and charge distribution functions are determined entirely in terms of the mean-field properties. This powerful description does not involve any adjustable parameter, includes the effects of shell structure and is consistent with the fluctuation-dissipation theorem of the non-equilibrium statistical mechanics. As a first application of the approach, we analyze the fragment mass distribution in ${}^{48}\mathrm{Ca}+{}^{238}\mathrm{U}$ collisions at the bombarding energy $E_{\text{c.m.}}=193$ MeV and compare the calculations with the experimental data.

15 pages, 8 figures, 2 tables. arXiv admin note: text overlap with arXiv:1706.03563

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Cited by in corpus (18)

• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Quantal diffusion approach for multi-nucleon transfers in Xe + Pb collisions
• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Quasifission dynamics in microscopic theories
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• Impact of the initial fluctuations on the dissipative dynamics of interacting Fermi systems: A model case study
• Quantal diffusion description of isotope production by multinucleon transfer mechanism in ${}^{48}\text{Ca}+{}^{238}\text{U}$ collisions
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• Shell Effects in Quasi-fission in Reactions Forming 226Th Compound Nucleus
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