Vladimir Zelevinsky and Alexander Volya · Wiley-VCH, 2017 · ISBN: 978-3-527-41350-8 · Amazon
An advanced textbook presenting an extensive and diverse study of low-energy nuclear physics considering the nucleus as a quantum system of strongly interacting constituents. Guides students from basic facts and ideas to modern topics, with full problem sets and links to computer code.
Table of Contents
1 Building blocks and interactions
1.1 What are the nuclei made of · 1.2 Proton and neutron · 1.3 Strong interactions · 1.4 Electromagnetic interactions and charge distribution · 1.5 Magnetic properties · 1.6 Weak interactions · 1.7 Neutron decay · 1.8 Nuclear world
2 Isospin
2.1 Quantum numbers in the two-body problem · 2.2 Introducing isospin · 2.3 Isospin invariance · 2.4 Space-spin symmetry and isospin invariance · 2.5 Glimpse of a more general picture · 2.6 Relations between cross sections · 2.7 Selection rules · 2.8 Isobaric mass formulae
3 Two-body dynamics and the deuteron
3.1 Low-energy nuclear forces · 3.2 Example: Argonne potential · 3.3 Meson exchange · 3.4 Deuteron: Central forces and s-wave · 3.5 Tensor forces and d-wave · 3.6 Magnetic dipole moment · 3.7 Electric quadrupole moment
4 Two-body scattering
4.1 Scattering problem · 4.2 Phase shifts · 4.3 Scattering length · 4.4 Sign of the scattering length · 4.5 Resonance scattering at low energies · 4.6 Effective radius · 4.7 Scattering of identical particles · 4.8 Coulomb scattering · 4.9 Coulomb-nuclear interference
5 Liquid drop model
5.1 Binding energies · 5.2 Shape variables · 5.3 Microscopic variables · 5.4 Multipole moments · 5.5 Kinetic energy and inertial parameters · 5.6 Shape vibrations · 5.7 Stability of the charged spherical liquid drop
6 Vibrations of a spherical nucleus
6.1 Sound waves · 6.2 Isovector modes · 6.3 Giant resonance and linear response · 6.4 Classification of normal modes · 6.5 Quantization of nuclear vibrational modes · 6.6 Multiphonon excitations · 6.7 Angular momentum classification
7 Fermi gas model
7.1 Mean field and quasiparticles · 7.2 Perfect Fermi gas · 7.3 Ground state · 7.4 Correlation between particles · 7.5 Asymmetric systems and chemical equilibrium · 7.6 Pressure and speed of sound · 7.7 Gravitational equilibrium
8 Spherical mean field
8.1 Introduction · 8.2 Magic numbers · 8.3 Separation energy · 8.4 Periodicity of nuclear spectra · 8.5 Harmonic oscillator potential · 8.6 Orbital momentum representation · 8.7 Square well potential · 8.8 Spin-orbit coupling · 8.9 Realistic level scheme · 8.10 Semiclassical origins of shell structure
9 Independent particle shell model
9.1 Shell model configurations · 9.2 Particle-hole symmetry · 9.3 Magnetic moment · 9.4 Quadrupole moment · 9.5 Recoil corrections · 9.6 Introduction to group theory of multi-particle configurations
10 Light nuclei
10.1 A short walk along the beginning of the nuclear chart · 10.2 Halo in quantum systems · 10.3 Nuclear halos · 10.4 One-body halos · 10.5 Two-body halos · 10.6 Efimov states
11 Many-body operator formalism
11.1 Secondary quantization · 11.2 Physical observables: one-body operators · 11.3 Two-body operators · 11.4 Interparticle interaction · 11.5 Interaction in a spherical basis · 11.6 Recoupling of angular momentum
12 Nuclear deformation
12.1 Idea of nuclear deformation · 12.2 Collective model · 12.3 Adiabatic approximation · 12.4 Onset of deformation · 12.5 Quadrupole deformation in the body-fixed frame · 12.6 Quadrupole shape variables · 12.7 Variety of quadrupole shapes · 12.8 Empirical deformation · 12.9 Single-particle quantum numbers · 12.10 Anisotropic harmonic oscillator · 12.11 Asymptotic quantum numbers · 12.12 Nilsson potential · 12.13 More examples
13 Pairing correlations
13.1 Physical evidence · 13.2 Seniority scheme · 13.3 Multipole moments in the seniority scheme · 13.4 Degenerate model · 13.5 Canonical transformation · 13.6 BCS theory: Trial wave function · 13.7 Energy minimization · 13.8 Solution for the energy gap · 13.9 Excitation spectrum · 13.10 Condensation energy · 13.11 Transition amplitudes
14 Gamma-radiation
14.1 Introduction · 14.2 Electromagnetic field and gauge invariance · 14.3 Photons · 14.4 Interaction of radiation with matter · 14.5 Radiation probability · 14.6 Electric dipole radiation · 14.7 Electric quadrupole radiation · 14.8 Magnetic dipole radiation · 14.9 Photoabsorption · 14.10 Multipole expansion
15 Nuclear gamma-transitions
15.1 Single-particle transitions · 15.2 Collective transitions · 15.3 Nuclear isomerism · 15.4 Isospin · 15.5 Structural selection rules · 15.6 Monopole transitions · 15.7 Internal electron conversion · 15.8 Coulomb excitation · 15.9 Nuclear photoeffect · 15.10 Electron scattering
16 Nuclear rotation
16.1 Introduction: rotational bands · 16.2 Finite rotations · 16.3 Rotation matrices as functions on the group · 16.4 Euler angles · 16.5 Angular momentum in Euler angles · 16.6 Eigenfunctions of angular momentum · 16.7 Rigid rotor · 16.8 Symmetry properties · 16.9 Simplest solutions · 16.10 Ground state band · 16.11 Intensity rules · 16.12 Electric quadrupole moment · 16.13 Magnetic moment · 16.14 Symmetry properties revisited · 16.15 Coriolis mixing and decoupling parameter · 16.16 Classical rotation and Routhian · 16.17 Cranked rotation · 16.18 Moment of inertia · 16.19 Adiabatic expansion · 16.20 Rotation of a perfect Fermi gas · 16.21 Perfect Bose gas and ideal liquid · 16.22 Pairing effects · 16.23 Band crossing
17 Self-consistent field
17.1 Exchange interaction · 17.2 Hartree-Fock equations · 17.3 Operator formulation · 17.4 Single-particle density matrix · 17.5 Hartree-Fock-Bogoliubov approximation · 17.6 General canonical transformation · 17.7 Solutions · 17.8 Generalized density matrix · 17.9 Pairing and particle number conservation · 17.10 Effective interaction · 17.11 Skyrme functionals · 17.12 Generalization to non-zero temperature
18 Collective modes
18.1 Schematic model · 18.2 Random phase approximation · 18.3 Canonical form of the RPA · 18.4 Model with factorized forces · 18.5 Collective modes as bosons · 18.6 Mapping of dynamics · 18.7 Normalization and the mass parameter · 18.8 Symmetry breaking · 18.9 Generator coordinate method
19 Bosons, symmetries and group models
19.1 Introduction · 19.2 Low-lying quadrupole excitations as interacting bosons · 19.3 Algebra of boson operators · 19.4 Subgroups and Casimir operators · 19.5 s-d model · 19.6 Irreducible representations and quantum numbers · 19.7 Vibrational limit · 19.8 O(6) limit · 19.9 SU(3) limit · 19.10 Shapes and phase transitions in IBM
20 Statistical properties
20.1 Introduction · 20.2 Level density: general properties · 20.3 Darwin-Fowler method · 20.4 Relation to statistical thermodynamics · 20.5 Thermodynamics of a nuclear Fermi gas · 20.6 Statistics of angular momentum · 20.7 Shell Model Monte Carlo approach · 20.8 Thermodynamics of compound reactions · 20.9 Statistical description of resonances
21 Nuclear fission
21.1 Introduction · 21.2 Alpha-decay · 21.3 Neutron fission · 21.4 Photofission · 21.5 Fission as a large-amplitude collective motion · 21.6 Non-adiabatic effects and dissipation · 21.7 Fission isomers · 21.8 Parity violation in fission
22 Heavy ion reactions: Selected topics
22.1 Introduction · 22.2 Experimental indications · 22.3 Macroscopic description · 22.4 Equilibration as a diffusion process · 22.5 Towards a microscopic description · 22.6 Sketch of a more general approach · 22.7 A simple model · 22.8 Nuclear multifragmentation · 22.9 More about fusion reactions
23 Configuration interaction approach
23.1 Center-of-mass problem · 23.2 Matrix elements of two-body interactions · 23.3 Ab-initio approach · 23.4 Three-body forces · 23.5 Semiempirical effective interactions · 23.6 Hamiltonian matrix, properties and solutions · 23.7 Effective non-Hermitian Hamiltonian · 23.8 Realistic nuclear calculations
24 Weak interactions
24.1 Introduction · 24.2 Beta spectrum in the simplest case · 24.3 Nuclear transitions · 24.4 Dirac formalism · 24.5 Four-fermion theory · 24.6 Nuclear structure effects · 24.7 Parity violation · 24.8 Electric dipole moment · 24.9 Nuclear enhancement · 24.10 On the way to electroweak theory · 24.11 Higgs mechanism · 24.12 Neutrino: oscillations · 24.13 Neutrino: Majorana or Dirac?
25 Nucleus as chaotic system
25.1 Introduction · 25.2 Strength function · 25.3 Level density revisited · 25.4 Complexity of wave functions · 25.5 Correlations between classes of states · 25.6 Invariant entropy · 25.7 Random matrix ensembles · 25.8 Thermalization