Abstract
Time-dependent Hartree-Fock (TDHF) theory has been a powerful tool in describing a variety of complex nuclear dynamics microscopically without empirical parameters. In this contribution, recent advances in nuclear dynamics studies with TDHF and its extensions are briefly reviewed, along the line with the study of multinucleon transfer (MNT) reactions. The latter lies at the core of this Research Topic, whose application for production of extremely neutron-rich nuclei has been extensively discussed in recent years. Having in mind the ongoing theoretical developments, it is envisaged how microscopic theories may contribute to the future MNT study.
Highlights
Multinucleon transfer (MNT) reactions may be a promising means to produce yet-unknown, neutron-rich unstable nuclei, whose production is difficult by other methods
The Time-dependent Hartree-Fock (TDHF) theory was first proposed by Dirac [14] and its application to nuclear physics started in the 1970s [15,16,17,18,19,20,21,22]
One may extend the derivation based on the Balian-Vénéroni variational principle to include higher-order corrections, or derive a formula generalized for asymmetric reactions from, e.g., the stochastic mean-field (SMF) theory [154, 155], from which one can derive the time-dependent RPA (TDRPA) formula in the small fluctuation limit [154]
Summary
Multinucleon transfer (MNT) reactions may be a promising means to produce yet-unknown, neutron-rich unstable nuclei, whose production is difficult by other methods. This possibility makes the study of MNT both fascinating and important. The production of neutron-rich superheavy nuclei in the island is highly desired, as it would provide a new stringent constraint for microscopic theories. This review briefly digests recent advances of microscopic reaction theories to stimulate new ideas for the future study of MNT reactions.
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