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arXiv · 1802.05564

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

S. Ayik·B. Yilmaz·O. Yilmaz·A. S. Umar
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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.

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S. Ayik, B. Yilmaz, O. Yilmaz, A. S. Umar. 2018-02-14. Quantal Diffusion Description of Multi-Nucleon Transfers in Heavy-Ion Collisions. https://doi.org/10.1103/physrevc.97.054618

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