Nuclear Matter Theory: 1st Edition (Hardback) book cover

Nuclear Matter Theory

1st Edition

By Omar Benhar, Stefano Fantoni

CRC Press

160 pages | 50 B/W Illus.

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Hardback: 9780815386667
pub: 2020-02-21
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Description

Authored by two of the most respected experts in the field of nuclear matter, this book provides an up-to-date account of developments in nuclear matter theory and a critical comparison of the existing theoretical approaches in the field.

It provides information needed for researchers working with applications in a variety of research fields, ranging from nuclear physics to astrophysics and gravitational physics, and the computational techniques discussed in the book are relevant for the broader condensed matter and quantum fluids community.

  • The first book to provide an up-to-date and comprehensive overview of nuclear matter theory
  • Authored by two world-leading academics in this field
  • Includes a description of the most advanced computational techniques and a discussion of state-of-the art applications, such as the study of gravitational-wave emission from neutron stars

Table of Contents

Chapter 1 INTRODUCTION

1.1 NUCLEAR MATTER IN ATOMIC NUCLEI

1.2 NUCLEAR MATTER IN NEUTRON STARS

Chapter 2 NUCLEAR DYNAMICS

2.1 THE PARADIGM OF MANY-BODY THEORY

2.2 EMPIRICAL FACTS ON NUCLEAR FORCES

2.3 PHENOMENOLOGICAL POTENTIALS

2.3.1 The nucleon-nucleon potential

2.3.2 Three-nucleon forces

2.4 BOSON-EXCHANGE POTENTIALS

2.5 POTENTIALS BASED ON CHIRAL LAGRANGIANS

Chapter 3 NUCLEAR MATER PROPERTIES

3.1 THE FERMI GAS MODEL

3.1.1 Energy-density and pressure of the degenerate Fermi gas

3.1.2 Transition to the relativistic regime

3.1.3 Extension to non-zero temperature

3.2 THE EQUATION OF STATE

3.2.1 Equation of state of cold nuclear matter

3.2.2 Symmetry energy

3.2.3 Pressure

3.3 SINGLE–NUCLEON PROPERTIES

3.3.1 Green’s function and spectral function

Chapter 4 NUCLEAR MATTER THEORY

4.1 THE MEAN-FIELD APPROXIMATION

4.1.1 Limits of the mean-field approximation

4.2 RENORMALISATION OF THE NN INTERACTION

4.3 G-MATRIX PERTURBATION THEORY

4.4 THE JASTROW VARIATIONAL APPROACH

4.4.1 Cluster Expansion

4.4.2 Kinetic energy

4.4.3 Low-order variational calculation of nuclear matter energy

4.5 ADVANCED PERTURBATIVE METHODS

4.5.1 Coupled Cluster Method

4.5.2 Self-Consistent Green’s Function Method

4.6 MONTE CARLO METHODS

4.6.1 Variational Monte Carlo

4.6.2 Auxiliary Field Diffusion Monte Carlo

4.7 RELATIVITY

4.7.1 Boost Corrections to the nucleon-nucleon potential

4.7.2 Dirac-Brueckner formalism

4.7.3 Relativistic mean-field approximation

Chapter 5 ADVANCED VARIATIONAL METHODS

5.1 CORRELATED BASIS FUNCTIONS THEORY

5.2 HYPER-NETTED-CHAIN SUMMATION SCHEME

5.2.1 Fermi Hyper-Netted Chain

5.2.2 RFHNC equations

5.3 EXTENSION TO SPIN-ISOSPIN DEPENDENT CORRELATIONS

5.3.1 Diagrammatic rules

5.3.2 FHNC/SOC approximation

5.3.3 Determination of the correlation functions

5.3.4 Applications to the study of nuclear matter properties

5.4 CBF EFFECTIVE INTERACTION

Chapter 6 NEUTRON STARS

6.1 NEUTRON STAR FORMATION

6.2 NEUTRON STAR STRUCTURE

6.2.1 Crust region

6.2.2 Core region

6.3 EQUATION OF STATE OF NEUTRON STAR MATTER

6.4 HYDROSTATIC EQUILIBRIUM

6.4.1 The equations of Tolman, Oppenheimer and Volkoff

Chapter 7 CONSTRAINTS FROM ASTROPHYSICAL DATA

7.1 MEASUREMENTS OF MASS AND RADIUS

7.2 GRAVITATIONAL-WAVE OBSERVATIONS

7.2.1 Neutron star merger

7.2.2 Quasi-Normal Modes

Appendix A Two- and Three-Body Cluster Contributions

Bibliography

Index

About the Authors

Omar Benhar is an INFN research director and teaches Relativistic Quantum Mechanics and Quantum Electrodynamics at the University of Rome, "La Sapienza". He has worked extensively in the United States, and since 2013 has served as an adjunct professor at the Center for Neutrino Physics of Virginia Polytechnic Institute and State University. Prof. Benhar has co-authored two textbooks on Relativistic Quantum Mechanics and Gauge Theories, and published more than one hundred scientific papers on the theory of many-particle systems, the structure of compact stars and electroweak interactions of nuclei.

Stefano Fantoni has been Professor of Theory of Nuclear Interactions at the International School for Advanced Studies (SISSA), in Trieste, since 1992, and served as Director of the School between 2004 and 2010. He has authored and co-authored over two hundred papers published in international journals. In 2007, Prof. Fantoni has been the recipient of the Eugene Feenberg Memorial Medal for Many-Body Physics. In recognition of his role to improve communication between the scientific community and the general public, in 2009 he has been awarded the UNESCO Kalinga Prize for the popularization of Science.

Subject Categories

BISAC Subject Codes/Headings:
SCI005000
SCIENCE / Astrophysics & Space Science
SCI051000
SCIENCE / Nuclear Physics
SCI055000
SCIENCE / Physics