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Dissipation and fluctuations of one-body observables in heavy-ion reactions around the Coulomb barrier are investigated with a microscopic stochastic mean-field approach. By projecting the stochastic mean-field dynamics on a suitable…

Nuclear Theory · Physics 2017-03-22 Kouhei Washiyama , Denis Lacroix , Sakir Ayik , Bülent Yilmaz

In this Review article, a brief description of the stochastic mean-field theory (SMF) for describing reaction dynamics in low-energy heavy-ion collisions at bombarding energies in the vicinity of the Coulomb barrier is presented. In these…

Nuclear Theory · Physics 2025-09-24 S. Ayik , M. Arik , O. Yilmaz , A. S. Umar

Nucleon drift and diffusion mechanisms in central collisions of asymmetric heavy-ions at near-barrier energies are investigated in the framework of a stochastic mean-field approach. Expressions for diffusion and drift coefficients for…

Nuclear Theory · Physics 2011-07-08 B. Yilmaz , S. Ayik , D. Lacroix , K. Washiyama

Microscopic theories beyond mean-field are developed to include pairing, in-medium nucleon-nucleon collisions as well as effects of initial fluctuations of one-body observables on nuclear dynamics. These theories are applied to nuclear…

Nuclear Theory · Physics 2009-09-11 D. Lacroix , M. Assie , S. Ayik , G. Hupin , J. A. Scarpaci , K. Washiyama

The nucleus-nucleus potential and energy dissipation in fusion reactions are obtained from microscopic mean-field dynamics. The deduced potentials nicely reproduce the one extracted from experimental data. Energy dissipation shows a…

Nuclear Theory · Physics 2015-05-14 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

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…

Nuclear Theory · Physics 2015-06-11 S. Ayik , O. Yilmaz , B. Yilmaz , A. S. Umar , A. Gokalp , G. Turan , D. Lacroix

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…

Nuclear Theory · Physics 2018-06-06 S. Ayik , B. Yilmaz , O. Yilmaz , A. S. Umar

Nucleon exchange mechanism is investigated in deep-inelastic symmetric heavy-ion collisions in the basis of the Stochastic Mean-Field approach. By extending the previous work to off-central collisions, analytical expression is deduced for…

Nuclear Theory · Physics 2015-06-22 B. Yilmaz , S. Ayik , D. Lacroix , O. Yilmaz

Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of several symmetric heavy-ion collisions in the framework of the Stochastic Mean-Field (SMF) approach. Since at bombarding energies below the fusion…

Nuclear Theory · Physics 2016-11-23 S. Ayik , O. Yilmaz , B. Yilmaz , A. S. Umar

Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of $^{238}$U + $^{238}$U in the framework of the stochastic mean-field (SMF) approach. For bombarding energies considered in this work, the di-nuclear…

Nuclear Theory · Physics 2017-08-23 S. Ayik , B. Yilmaz , O. Yilmaz , A. S. Umar , G. Turan

Multinucleon transfer mechanism in collision of ${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$ system is investigated in the framework of quantal transport description, based on the stochastic mean-field (SMF) theory. The SMF theory provides a…

Nuclear Theory · Physics 2023-08-02 S. Ayik , M. Arik , E. Erbayri , O. Yilmaz , A. S. Umar

The method of fusion barrier distribution has been widely used to interpret the effect of nuclear structure on heavy-ion fusion reactions around the Coulomb barrier. We discuss a similar, but less well known, barrier distribution extracted…

Nuclear Theory · Physics 2015-06-26 K. Hagino , N. Rowley

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the…

Nuclear Theory · Physics 2009-11-13 Sakir Ayik

The multinucleon transfer reactions near barrier energies has been investigated with a multistep model based on the dinuclear system (DNS) concept, in which the capture of two colliding nuclei, the transfer dynamics and the de-excitation…

Nuclear Theory · Physics 2018-01-03 Fei Niu , Peng-Hui Chen , Ya-Fei Guo , Chun-Wang Ma , Zhao-Qing Feng

In the stochastic mean-field approach, an ensemble of initial conditions is considered to incorporate correlations beyond the mean-field. Then each starting pont is propagated separately using the Time-Dependent Hartree-Fock equation of…

Nuclear Theory · Physics 2015-06-11 Denis Lacroix , Sakir Ayik , Bulent Yilmaz , Kouhei Washiyama

Employing a quantal diffusion description based on the stochastic mean-field (SMF) approach, we analyze the mass distribution of the primary fragments in the collisions of ${}^{136} \text{Xe}+{}^{208} \text{Pb}$ system at the bombarding…

Nuclear Theory · Physics 2019-07-31 S. Ayik , B. Yilmaz , O. Yilmaz , A. S. Umar

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

Background: In recent years, substantial efforts have been made for the study of multinucleon transfer reactions at energies around the Coulomb barrier both experimentally and theoretically, aiming at the production of unknown neutron-rich…

Nuclear Theory · Physics 2020-07-30 Kazuyuki Sekizawa , Sakir Ayik

Nucleus-nucleus interaction potentials in heavy-ion fusion reactions are extracted from the microscopic time-dependent Hartree-Fock theory. When the center-of-mass energy is much higher than the Coulomb barrier energy, extracted potentials…

Nuclear Theory · Physics 2009-11-13 Kouhei Washiyama , Denis Lacroix

Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices and even approximation theory, and give rise to a variety of…

Mathematical Physics · Physics 2018-07-27 Sylvia Serfaty
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