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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. While mean-field alone is known to significantly underpredict the…

Nuclear Theory · Physics 2015-05-13 Kouhei Washiyama , Sakir Ayik , Denis Lacroix

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

We develop theoretical diagnostics for the breakdown of mean-field theory, demonstrate how spatial structure and finite interaction ranges enter the effective description, and show how these scales qualitatively modify the…

Nuclear Theory · Physics 2026-04-22 Pok Man Lo

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

Ground-state properties of exotic even-even nuclei with extreme neutron-to-proton ratios are described in the framework of the self-consistent mean-field theory with pairing formulated in coordinate space. This theory properly accounts for…

Nuclear Theory · Physics 2008-11-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner , J. F. Berger , C. R. Chinn , J. Dechargé

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

A completely microscopic beyond mean-field approach has been elaborated to overcome some intrinsic limitations of self-consistent mean-field schemes applied to nuclear systems, such as the incapability to produce some properties of…

Nuclear Theory · Physics 2015-06-16 M. Brenna , G. Colò , X. Roca-Maza , P. F. Bortignon , K. Moghrabi , M. Grasso

The effect of initial correlations between nucleons on the nuclear break-up mechanism is studied. A quantum transport theory which extends standard mean-field approach is developed to incorporate short range pairing correlation as well as…

Nuclear Theory · Physics 2009-07-01 Marlene Assie , Denis Lacroix

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

A recently proposed statistical theory of the mean fields associated with the ground and excited collective states of a generic many-body system is extended by increasing the dimensions of the P-space. In applying the new framework to…

Nuclear Theory · Physics 2009-11-07 A. De Pace , A. Molinari

A statistical theory of the mean field is developed. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction, obtained after the…

Nuclear Theory · Physics 2009-10-30 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

By projecting the stochastic mean-field dynamics on a suitable collective path during the entrance channel of heavy-ion collisions, expressions for transport coefficients associated with relative distance are extracted. These transport…

Nuclear Theory · Physics 2015-05-13 Sakir Ayik , Kouhei Washiyama , Denis Lacroix

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

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2007-05-23 Dario Vretenar

In this work, we introduce a new method to reduce the microscopic mean-field theory to a classical macroscopic dynamics during the initial stage of fusion reactions. We show that TDHF (Time-dependent Hartree-Fock) could be a useful tool to…

Nuclear Theory · Physics 2007-05-23 Denis Lacroix

Extending the stochastic mean-field model by including pairing, an approach is proposed for describing evolutions of complex many-body systems in terms of an ensemble of Time-Dependent Hartree-Fock Bogoliubov trajectories which is…

Nuclear Theory · Physics 2015-06-15 Denis Lacroix , Danilo Gambacurta , Sakir Ayik

A momentum-dependent mean field potential, suitable for application in the transport-model description of nucleus-nucleus collisions, is derived in a microscopic way. The derivation is based upon the Bonn meson-exchange model for the…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

Pairing plays a crucial role in the microscopic description of nuclear fission. Microscopic methods provide access to three quantities related to pairing, namely, the pairing gap ($\Delta$), the particle number fluctuations ($ \Delta…

Nuclear Theory · Physics 2025-04-21 A. Zdeb , M. Warda , L. M. Robledo , S. A. Giuliani

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean-field can describe many static and dynamical aspects. It generally provides a rather good…

Nuclear Theory · Physics 2015-06-18 Denis Lacroix , Sakir Ayik
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