Abstract

Yoichiro Nambu put a great foot print in nuclear physics in the era of its fundamental developments including his pioneering insight into essential ingredients of repulsive core of nuclear force and its relation to the saturation of nuclear matter. The present review article focuses onto recent developments of the interaction models between colliding nuclei in terms of Brueckner's G-matrix theory staring from realistic nuclear forces and the saturation property of symmetric nuclear matter as well as neutron-star matter. A recently proposed unique scenario of extracting the saturation property of nuclear matter and stiffness of neutron stars through the analysis of nucleus-nucleus elastic scattering in laboratories is presented in some detail.

Highlights

  • Yoichiro Nambu left great footprints in physics

  • Since Nambu’s contributions to various fields in physics are reviewed by other authors in the review articles for the present memorial symposium, this paper will be devoted to some specific aspects of his contribution, to the repulsive nature of the nuclear force and the saturation property of nuclear matter, and related topics relevant to the saturation property of nuclear matter probed by nucleus–nucleus scattering will be presented

  • In order to clarify the implication of the scenario, we briefly review a microscopic theory of interaction between finite nuclei, called the double-folding model (DFM), and Brueckner’s G-matrix theory; these are the keys to connect infinite nuclear matter, including the baryonic matter in neutron stars, and nucleus–nucleus scattering experiments in laboratories

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Summary

Introduction

Yoichiro Nambu left great footprints in physics. His greatest achievement will be his genius idea of spontaneous symmetry breaking (SSB) inspired by the BCS theory for superconductivity in condensed matter. In order to clarify the implication of the scenario, we briefly review a microscopic theory of interaction between finite nuclei, called the double-folding model (DFM), and Brueckner’s G-matrix theory; these are the keys to connect infinite nuclear matter, including the baryonic matter in neutron stars, and nucleus–nucleus scattering experiments in laboratories. To this end, we first present a brief history of the theoretical study of effective nucleon–nucleon (NN) interaction in the nuclear medium derived from Brueckner’s G-matrix theory and its application in constructing nucleus– nucleus interactions in terms of various types of DFM

Nuclear force and repulsive core
Nuclear force and saturation of nuclear matter
Effective interaction in the nuclear medium
Saturation curves and stiffness of symmetric nuclear matter
Microscopic models for interaction between finite nuclei
G-matrix folding model with local density approximation
Optical potential and folding model with complex G-matrix
A brief history of DFM studies of HI scattering
M3Y interaction
DFM with a complex G-matrix
Roles of the three-body force in nucleus–nucleus scattering
Multi-pomeron repulsion and neutron star mass
Pomeron exchange model for many-body force
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