| |

| |

Introduction | |

| |

| |

| |

What is Nuclear Physics? | |

| |

| |

| |

This Book | |

| |

| |

| |

Hadrons | |

| |

| |

| |

Nucleons | |

| |

| |

| |

Nuclear Forces | |

| |

| |

| |

Pions | |

| |

| |

| |

Antiparticles | |

| |

| |

| |

Inversion and Parity | |

| |

| |

| |

Isospin and Baryonic Number | |

| |

| |

| |

Isospin Invariance | |

| |

| |

| |

Magnetic Moment of the Nucleons | |

| |

| |

| |

Strangeness and Hypercharge | |

| |

| |

| |

Quantum Chromodynamics | |

| |

| |

| |

Exercises | |

| |

| |

| |

The Two-Nucleon System | |

| |

| |

| |

Introduction | |

| |

| |

| |

Electrostatic Multipoles | |

| |

| |

| |

Magnetic Moment with Spin-orbit Coupling | |

| |

| |

| |

Experimental Data for the Deuteron | |

| |

| |

| |

A Square-well Model for the Deuteron | |

| |

| |

| |

The Deuteron Wavefunction | |

| |

| |

| |

Angular momentum coupling | |

| |

| |

| |

Two particles of spin [fraction12] | |

| |

| |

| |

Total wavefunction | |

| |

| |

| |

Particles in the Continuum: Scattering | |

| |

| |

| |

Partial Wave Expansion | |

| |

| |

| |

Low Energy Scattering | |

| |

| |

| |

Effective Range Theory | |

| |

| |

| |

Proton-Proton Scattering | |

| |

| |

| |

Neutron-Neutron Scattering | |

| |

| |

| |

High Energy Scattering | |

| |

| |

| |

Laboratory and Center of Mass Systems | |

| |

| |

| |

Exercises | |

| |

| |

| |

The Nucleon-Nucleon Interaction | |

| |

| |

| |

Introduction | |

| |

| |

| |

Phenomenological Potentials | |

| |

| |

| |

Local Potentials | |

| |

| |

| |

Nonlocal potential | |

| |

| |

| |

Meson Exchange Potentials | |

| |

| |

| |

Yukawa and Van der Waals potentials | |

| |

| |

| |

Field theory picture | |

| |

| |

| |

Short range part of the NN interaction | |

| |

| |

| |

Chiral symmetry | |

| |

| |

| |

Generalized boson exchange | |

| |

| |

| |

Beyond boson exchange | |

| |

| |

| |

Effective Field Theories | |

| |

| |

| |

Exercises | |

| |

| |

| |

General Properties of Nuclei | |

| |

| |

| |

Introduction | |

| |

| |

| |

Nuclear Radii | |

| |

| |

| |

Binding Energies | |

| |

| |

| |

Total Angular Momentum of the Nucleus | |

| |

| |

| |

Multipole Moments | |

| |

| |

| |

Magnetic Dipole Moment | |

| |

| |

| |

Electric Quadrupole Moment | |

| |

| |

| |

Excited States of Nuclei | |

| |

| |

| |

Nuclear Stability | |

| |

| |

| |

Exercises | |

| |

| |

| |

Nuclear Models | |

| |

| |

| |

Introduction | |

| |

| |

| |

The Liquid Drop Model | |

| |

| |

| |

The Fermi Gas Model | |

| |

| |

| |

The Shell Model | |

| |

| |

| |

Residual Interaction | |

| |

| |

| |

Nuclear Vibrations | |

| |

| |

| |

Nuclear Deformation | |

| |

| |

| |

The Nilsson Model | |

| |

| |

| |

The Rotational Model | |

| |

| |

| |

Microscopic Theories | |

| |

| |

| |

Hartree-Fock theory | |

| |

| |

| |

The Skyrme interaction | |

| |

| |

| |

Relativistic mean field theory | |

| |

| |

| |

Exercises | |

| |

| |

| |

Radioactivity | |

| |

| |

| |

Introduction | |

| |

| |

| |

Multiple Decays-Decay Chain | |

| |

| |

| |

Preparation of a Radioactive Sample | |

| |

| |

| |

Secular Equilibrium | |

| |

| |

| |

Natural Radioactive Series | |

| |

| |

| |

Radiation Units | |

| |

| |

| |

Radioactive Dating | |

| |

| |

| |

Properties of Unstable States-Level Width | |

| |

| |

| |

Transition Probability-Golden Rule | |

| |

| |

| |

Exercises | |

| |

| |

| |

Alpha-Decay | |

| |

| |

| |

Introduction | |

| |

| |

| |

Theory of [alpha]-Decay | |

| |

| |

| |

Angular Momentum and Parity in [alpha]-Decay | |

| |

| |

| |

Exercises | |

| |

| |

| |

Beta-Decay | |

| |

| |

| |

Introduction | |

| |

| |

| |

Energy Released in [Beta]-Decay | |

| |

| |

| |

Fermi Theory | |

| |

| |

| |

The Decay Constant-The Log ft Value | |

| |

| |

| |

Gamow-Teller Transitions | |

| |

| |

| |

Selection Rules | |

| |

| |

| |

Parity Nonconservation in [Beta]-Decay | |

| |

| |

| |

Double [Beta]-Decay | |

| |

| |

| |

Electron Capture | |

| |

| |

| |

Exercises | |

| |

| |

| |

Gamma-Decay | |

| |

| |

| |

Introduction | |

| |

| |

| |

Quantization of Electromagnetic Fields | |

| |

| |

| |

Fields and gauge invariance | |

| |

| |

| |

Normal modes | |

| |

| |

| |

Photons | |

| |

| |

| |

Interaction of Radiation with Matter | |

| |

| |

| |

Radiation probability | |

| |

| |

| |

Long wavelength approximation | |

| |

| |

| |

Quantum and Classical Transition Rates | |

| |

| |

| |

Selection Rules | |

| |

| |

| |

Estimate of the Disintegration Constants | |

| |

| |

| |

Isomeric States | |

| |

| |

| |

Internal Conversion | |

| |

| |

| |

Resonant Absorption-The Mossbauer Effect | |

| |

| |

| |

Exercises | |

| |

| |

| |

Nuclear Reactions-I | |

| |

| |

| |

Introduction | |

| |

| |

| |

Conservation Laws | |

| |

| |

| |

Kinematics of Nuclear Reactions | |

| |

| |

| |

Scattering and Reaction Cross Sections | |

| |

| |

| |

Resonances | |

| |

| |

| |

Compound Nucleus | |

| |

| |

| |

Mean Free Path of a Nucleon in Nuclei | |

| |

| |

| |

Empirical Optical Potential | |

| |

| |

| |

Compound Nucleus Formation | |

| |

| |

| |

Compound Nucleus Decay | |

| |

| |

| |

Exercises | |

| |

| |

| |

Nuclear Reactions-II | |

| |

| |

| |

Direct Reactions | |

| |

| |

| |

Theory of direct reactions | |

| |

| |

| |

Validation of the Shell Model | |

| |

| |

| |

Photonuclear Reactions | |

| |

| |

| |

Cross sections | |

| |

| |

| |

Sum rules | |

| |

| |

| |

Giant resonances | |

| |

| |

| |

Coulomb Excitation | |

| |

| |

| |

Fission | |

| |

| |

| |

Mass Distribution of Fission Fragments | |

| |

| |

| |

Neutrons Emitted in Fission | |

| |

| |

| |

Cross Sections for Fission | |

| |

| |

| |

Energy Distribution in Fission | |

| |

| |

| |

Isomeric Fission | |

| |

| |

| |

Exercises | |

| |

| |

| |

Nuclear Astrophysics | |

| |

| |

| |

Introduction | |

| |

| |

| |

Astronomical Observations | |

| |

| |

| |

The Milky Way | |

| |

| |

| |

Dark matter | |

| |

| |

| |

Luminosity and Hubble's law | |

| |

| |

| |

The Big Bang | |

| |

| |

| |

Stellar Evolution | |

| |

| |

| |

Stars burn slowly | |

| |

| |

| |

Gamow peak and astrophysical S-factor | |

| |

| |

| |

The Sun | |

| |

| |

| |

Deuterium formation | |

| |

| |

| |

Deuterium burning | |

| |

| |

| |

[superscript 3]He burning | |

| |

| |

| |

Reactions involving [superscript 7]Be | |

| |

| |

| |

The CNO Cycle | |

| |

| |

| |

Hot CNO and rp process | |

| |

| |

| |

Helium Burning | |

| |

| |

| |

Red Giants | |

| |

| |

| |

Advanced Burning Stages | |

| |

| |

| |

Carbon burning | |

| |

| |

| |

Neon burning | |

| |

| |

| |

Oxygen burning | |

| |

| |

| |

Silicon burning | |

| |

| |

| |

Synthesis of Heaviest Elements | |

| |

| |

| |

White Dwarfs and Neutron Stars | |

| |

| |

| |

Supernova Explosions | |

| |

| |

| |

Nuclear Reaction Models | |

| |

| |

| |

Microscopic models | |

| |

| |

| |

Potential and DWBA models | |

| |

| |

| |

Parameter fit | |

| |

| |

| |

Statistical models | |

| |

| |

| |

Exercises | |

| |

| |

| |

Rare Nuclear Isotopes | |

| |

| |

| |

Introduction | |

| |

| |

| |

Light Exotic Nuclei | |

| |

| |

| |

Halo nuclei | |

| |

| |

| |

Bonomean nuclei | |

| |

| |

| |

Superheavy Elements | |

| |

| |

| |

Exercises | |

| |

| |

| |

Angular Momentum | |

| |

| |

| |

Orbital Momentum | |

| |

| |

| |

Spherical Functions | |

| |

| |

| |

Generation of Rotations | |

| |

| |

| |

Orbital Rotations | |

| |

| |

| |

Spin | |

| |

| |

| |

Ladder Operators | |

| |

| |

| |

Angular Momentum Multiplets | |

| |

| |

| |

Multiplets as Irreducible Representations | |

| |

| |

| |

SU(2) Group and Spin [fraction12] | |

| |

| |

| |

Properties of Spherical Harmonics | |

| |

| |

| |

Explicit derivation | |

| |

| |

| |

Legendre polynomials | |

| |

| |

| |

Completeness | |

| |

| |

| |

Spherical functions as matrix elements of finite rotations | |

| |

| |

| |

Addition theorem | |

| |

| |

| |

Angular Momentum Coupling | |

| |

| |

| |

Tensor Operators | |

| |

| |

| |

Transformation of operators | |

| |

| |

| |

Scalars and vectors | |

| |

| |

| |

Tensors of rank 2 | |

| |

| |

| |

Introduction to selection rules | |

| |

| |

| |

Angular Momentum Coupling | |

| |

| |

| |

Two subsystems | |

| |

| |

| |

Decomposition of reducible representations | |

| |

| |

| |

Tensor operators and section rules revisited | |

| |

| |

| |

Vector coupling of angular momenta | |

| |

| |

| |

Wigner-Eckart theorem | |

| |

| |

| |

Vector Model | |

| |

| |

| |

Symmetries | |

| |

| |

| |

Time Reversal | |

| |

| |

| |

Spin Transformation and Kramer's Theorem | |

| |

| |

| |

Time-conjugate Orbits | |

| |

| |

| |

Two-component Neutrino and Fundamental Symmetries | |

| |

| |

| |

Charge Conjugation | |

| |

| |

| |

Electric Dipole Moment | |

| |

| |

| |

CPT-Invariance | |

| |

| |

| |

Relativistic Quantum Mechanics | |

| |

| |

| |

Lagrangians | |

| |

| |

| |

Covariance | |

| |

| |

| |

Electromagnetic Field | |

| |

| |

| |

Relativistic Equations | |

| |

| |

| |

Particle at rest | |

| |

| |

| |

Covariant form: [gamma] matrices | |

| |

| |

| |

Probability and Current | |

| |

| |

| |

Wavefunction Transformation | |

| |

| |

| |

Bilinear Covariants | |

| |

| |

| |

Parity | |

| |

| |

| |

Plane Waves | |

| |

| |

| |

Summary of plane wave spinor properties | |

| |

| |

| |

Projection operators | |

| |

| |

| |

Plane Wave Expansion | |

| |

| |

| |

Electromagnetic Interaction | |

| |

| |

| |

Pauli Equation | |

| |

| |

| |

Spin-orbit and Darwin terms | |

| |

| |

| |

Useful Constants and Conversion Factors | |

| |

| |

| |

Constants | |

| |

| |

| |

Masses | |

| |

| |

| |

Conversion Factors | |

| |

| |

References | |

| |

| |

Index | |