Frontiers in Nuclear and Particle Physics

Frontiers in Nuclear and Particle Physics

Volume: 2

Progress of Time-Dependent Nuclear Reaction Theory

This book is a compilation of the latest theoretical methods for treating models in nuclear reactions. Initial chapters in this volume explain different aspects of time-dependent nuclear density ...
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Multinucleon transfer reaction in time-dependent Hartree-Fock theory

Pp. 40-56 (17)

Kazuyuki Sekizawa and Kazuhiro Yabana


Time-dependent Hartree-Fock (TDHF) theory has achieved a remarkable success in describing and understanding nuclear many-body dynamics from nucleons’ degrees of freedom. We here report our investigation of multinucleon transfer (MNT) processes employing the TDHF theory. To calculate transfer probabilities for channels specified by the number of protons and neutrons included in reaction products, a particle-number projection (PNP) method has been developed. The PNP method is also used to calculate excitation energies of reaction products. Combined use of the PNP method with a statistical model, we can evaluate MNT cross sections taking account of effects of particle evaporation. Using these methods, we evaluate MNT cross sections for 40,48Ca+124Sn, 40Ca+208Pb, and 58Ni+208Pb reactions. From systematic analyses, we find that cross sections for channels with a large reaction probability are in good agreement with experimental data. However, the agreement becomes less accurate as the number of transferred nucleons increases. Possible directions to improve the description are discussed.


TDHF, particle-number projection, multinucleon transfer reaction


Faculty of Physics, Warsaw University of Technology, ulica Koszykowa 75, 00-662 Warsaw, Poland.