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arXiv:2004.02409 · Frontiers in Physics

Solitons in Nuclear Time-Dependent Density Functional Theory

Yoritaka Iwata

Published Jun 30, 2020• 11 citations
arXivHTMLPDF

Abstract

The soliton existence in sub-atomic many-nucleon systems is discussed. In many nucleon dynamics represented by the nuclear time-dependent density functional formalism, much attention is paid to energy and mass dependence of the soliton existence. In conclusion, the existence of nuclear soliton is clarified if the temperature of nuclear system is from 10 to 30 MeV. With respect to the mass dependence $^{4}$He and $^{16}$O is suggested to be the candidates for the self-bound states exhibiting the property of nuclear soliton.

DOI
10.3389/fphy.2020.00154

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The soliton existence in sub-atomic many-nucleon systems is discussed. In many nucleon dynamics represented by the nuclear time-dependent density functional formalism, much attention is paid to energy and mass dependence of the soliton existence. In conclusion, the existence of nuclear soliton is clarified if the temperature of nuclear system is from 10 to 30 MeV. With respect to the mass dependence 4^{4}4He and 16^{16}16O is suggested to be the candidates for the self-bound states exhibiting the property of nuclear soliton.
Fundamentals of energy density functional in nuclear physics are presented. Much attention is paid to a mathematically rigorous treatment of deriving the energy density functional. The specific features of the density functional used in studying many-nucleon systems, which is quite different from that used in many-electron systems, are also shown. The intended audience are physicists, chemists and mathematicians. In particular those who will start to study the density functional theory are intended.
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Recent developments in the many-body theory of interacting fermions are discussed employing a self-consistent Green function approach. This scheme is outlined and its application to nuclear systems is presented. Special attention is paid to the consistent inclusion of short-range and long-range correlations induced by realistic nucleon-nucleon interactions. Such correlations lead to occupation probabilities which deviate from the simple mean-field or shell-model description. The scheme is extended to incorporate relativistic effects. Also applications of field theoretical models for hadrons in a nuclear medium and their relation to QCD are discussed.
The theory of the thermodynamic properties of nuclear matter at finite temperatures is developed on the basis of thermodynamic Green functions for a system of interacting nucleons. The influence of the surrounding nuclear matter on the two-nucleon system leads to a weakening of the effective nucleon-nucleon interaction and at the Mott density, which depends on the temperature and total momentum of the two-nucleon system, the bound state disappears. The deuteron degree of association and the phase diagram of nuclear matter are discussed.
We present the basic concepts and our recent developments in density functional approaches with Skyrme functionals for describing nuclear dynamics at low energy.Time-dependent density functional theory (TDDFT) is utilized for the exact linear response with an external perturbation.For a description of collective dynamics beyond the perturbative regime, we present a theory of a decoupled collective submanifold to describe a slow motion based on TDDFT.Selected applications are shown to demonstrate the quality of their performance and feasibility.The advantages and disadvantages of the numerical aspects are also discussed.. . . . . .
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