Nuclear Matter Theory 1st Edition by Omar Benhar, Stefano Fantoni ISBN 1032239751 9781032239750

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 Matter 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 RFHNC/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 Neutrino Emission and Cooling
• 7.3 Gravitational-Wave Observations
  • 7.3.1 Neutron Star Merger
  • 7.3.2 Quasi-Normal Modes