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Introduction | p. 1 |
What is Nuclear Physics? | p. 1 |
This Book | p. 3 |
Hadrons | p. 4 |
Nucleons | p. 4 |
Nuclear Forces | p. 5 |
Pions | p. 7 |
Antiparticles | p. 8 |
Inversion and Parity | p. 8 |
Isospin and Baryonic Number | p. 10 |
Isospin Invariance | p. 13 |
Magnetic Moment of the Nucleons | p. 14 |
Strangeness and Hypercharge | p. 15 |
Quantum Chromodynamics | p. 21 |
Exercises | p. 29 |
The Two-Nucleon System | p. 31 |
Introduction | p. 31 |
Electrostatic Multipoles | p. 32 |
Magnetic Moment with Spin-orbit Coupling | p. 34 |
Experimental Data for the Deuteron | p. 36 |
A Square-well Model for the Deuteron | p. 38 |
The Deuteron Wavefunction | p. 41 |
Angular momentum coupling | p. 41 |
Two particles of spin [fraction12] | p. 42 |
Total wavefunction | p. 43 |
Particles in the Continuum: Scattering | p. 46 |
Partial Wave Expansion | p. 49 |
Low Energy Scattering | p. 53 |
Effective Range Theory | p. 59 |
Proton-Proton Scattering | p. 61 |
Neutron-Neutron Scattering | p. 64 |
High Energy Scattering | p. 65 |
Laboratory and Center of Mass Systems | p. 65 |
Exercises | p. 68 |
The Nucleon-Nucleon Interaction | p. 71 |
Introduction | p. 71 |
Phenomenological Potentials | p. 72 |
Local Potentials | p. 72 |
Nonlocal potential | p. 78 |
Meson Exchange Potentials | p. 80 |
Yukawa and Van der Waals potentials | p. 80 |
Field theory picture | p. 84 |
Short range part of the NN interaction | p. 86 |
Chiral symmetry | p. 87 |
Generalized boson exchange | p. 89 |
Beyond boson exchange | p. 91 |
Effective Field Theories | p. 95 |
Exercises | p. 96 |
General Properties of Nuclei | p. 98 |
Introduction | p. 98 |
Nuclear Radii | p. 98 |
Binding Energies | p. 101 |
Total Angular Momentum of the Nucleus | p. 104 |
Multipole Moments | p. 104 |
Magnetic Dipole Moment | p. 106 |
Electric Quadrupole Moment | p. 109 |
Excited States of Nuclei | p. 111 |
Nuclear Stability | p. 114 |
Exercises | p. 116 |
Nuclear Models | p. 119 |
Introduction | p. 119 |
The Liquid Drop Model | p. 119 |
The Fermi Gas Model | p. 124 |
The Shell Model | p. 128 |
Residual Interaction | p. 142 |
Nuclear Vibrations | p. 144 |
Nuclear Deformation | p. 149 |
The Nilsson Model | p. 150 |
The Rotational Model | p. 153 |
Microscopic Theories | p. 160 |
Hartree-Fock theory | p. 160 |
The Skyrme interaction | p. 162 |
Relativistic mean field theory | p. 164 |
Exercises | p. 166 |
Radioactivity | p. 170 |
Introduction | p. 170 |
Multiple Decays-Decay Chain | p. 171 |
Preparation of a Radioactive Sample | p. 173 |
Secular Equilibrium | p. 174 |
Natural Radioactive Series | p. 174 |
Radiation Units | p. 176 |
Radioactive Dating | p. 177 |
Properties of Unstable States-Level Width | p. 179 |
Transition Probability-Golden Rule | p. 181 |
Exercises | p. 183 |
Alpha-Decay | p. 185 |
Introduction | p. 185 |
Theory of [alpha]-Decay | p. 185 |
Angular Momentum and Parity in [alpha]-Decay | p. 191 |
Exercises | p. 194 |
Beta-Decay | p. 195 |
Introduction | p. 195 |
Energy Released in [Beta]-Decay | p. 196 |
Fermi Theory | p. 197 |
The Decay Constant-The Log ft Value | p. 202 |
Gamow-Teller Transitions | p. 204 |
Selection Rules | p. 206 |
Parity Nonconservation in [Beta]-Decay | p. 206 |
Double [Beta]-Decay | p. 211 |
Electron Capture | p. 213 |
Exercises | p. 215 |
Gamma-Decay | p. 218 |
Introduction | p. 218 |
Quantization of Electromagnetic Fields | p. 218 |
Fields and gauge invariance | p. 218 |
Normal modes | p. 220 |
Photons | p. 221 |
Interaction of Radiation with Matter | p. 224 |
Radiation probability | p. 227 |
Long wavelength approximation | p. 228 |
Quantum and Classical Transition Rates | p. 235 |
Selection Rules | p. 240 |
Estimate of the Disintegration Constants | p. 241 |
Isomeric States | p. 243 |
Internal Conversion | p. 244 |
Resonant Absorption-The Mossbauer Effect | p. 249 |
Exercises | p. 255 |
Nuclear Reactions-I | p. 258 |
Introduction | p. 258 |
Conservation Laws | p. 260 |
Kinematics of Nuclear Reactions | p. 261 |
Scattering and Reaction Cross Sections | p. 265 |
Resonances | p. 270 |
Compound Nucleus | p. 273 |
Mean Free Path of a Nucleon in Nuclei | p. 276 |
Empirical Optical Potential | p. 277 |
Compound Nucleus Formation | p. 282 |
Compound Nucleus Decay | p. 290 |
Exercises | p. 294 |
Nuclear Reactions-II | p. 298 |
Direct Reactions | p. 298 |
Theory of direct reactions | p. 301 |
Validation of the Shell Model | p. 303 |
Photonuclear Reactions | p. 306 |
Cross sections | p. 307 |
Sum rules | p. 308 |
Giant resonances | p. 312 |
Coulomb Excitation | p. 315 |
Fission | p. 319 |
Mass Distribution of Fission Fragments | p. 321 |
Neutrons Emitted in Fission | p. 324 |
Cross Sections for Fission | p. 325 |
Energy Distribution in Fission | p. 327 |
Isomeric Fission | p. 328 |
Exercises | p. 331 |
Nuclear Astrophysics | p. 334 |
Introduction | p. 334 |
Astronomical Observations | p. 335 |
The Milky Way | p. 335 |
Dark matter | p. 336 |
Luminosity and Hubble's law | p. 337 |
The Big Bang | p. 338 |
Stellar Evolution | p. 341 |
Stars burn slowly | p. 341 |
Gamow peak and astrophysical S-factor | p. 342 |
The Sun | p. 347 |
Deuterium formation | p. 348 |
Deuterium burning | p. 350 |
[superscript 3]He burning | p. 351 |
Reactions involving [superscript 7]Be | p. 352 |
The CNO Cycle | p. 354 |
Hot CNO and rp process | p. 355 |
Helium Burning | p. 357 |
Red Giants | p. 360 |
Advanced Burning Stages | p. 362 |
Carbon burning | p. 362 |
Neon burning | p. 364 |
Oxygen burning | p. 365 |
Silicon burning | p. 365 |
Synthesis of Heaviest Elements | p. 367 |
White Dwarfs and Neutron Stars | p. 368 |
Supernova Explosions | p. 370 |
Nuclear Reaction Models | p. 375 |
Microscopic models | p. 375 |
Potential and DWBA models | p. 376 |
Parameter fit | p. 377 |
Statistical models | p. 377 |
Exercises | p. 379 |
Rare Nuclear Isotopes | p. 385 |
Introduction | p. 385 |
Light Exotic Nuclei | p. 388 |
Halo nuclei | p. 390 |
Bonomean nuclei | p. 393 |
Superheavy Elements | p. 395 |
Exercises | p. 400 |
Angular Momentum | p. 401 |
Orbital Momentum | p. 401 |
Spherical Functions | p. 402 |
Generation of Rotations | p. 402 |
Orbital Rotations | p. 403 |
Spin | p. 404 |
Ladder Operators | p. 406 |
Angular Momentum Multiplets | p. 409 |
Multiplets as Irreducible Representations | p. 412 |
SU(2) Group and Spin [fraction12] | p. 413 |
Properties of Spherical Harmonics | p. 414 |
Explicit derivation | p. 414 |
Legendre polynomials | p. 415 |
Completeness | p. 416 |
Spherical functions as matrix elements of finite rotations | p. 417 |
Addition theorem | p. 417 |
Angular Momentum Coupling | p. 419 |
Tensor Operators | p. 419 |
Transformation of operators | p. 419 |
Scalars and vectors | p. 420 |
Tensors of rank 2 | p. 421 |
Introduction to selection rules | p. 422 |
Angular Momentum Coupling | p. 423 |
Two subsystems | p. 423 |
Decomposition of reducible representations | p. 424 |
Tensor operators and section rules revisited | p. 426 |
Vector coupling of angular momenta | p. 427 |
Wigner-Eckart theorem | p. 428 |
Vector Model | p. 429 |
Symmetries | p. 432 |
Time Reversal | p. 432 |
Spin Transformation and Kramer's Theorem | p. 433 |
Time-conjugate Orbits | p. 435 |
Two-component Neutrino and Fundamental Symmetries | p. 436 |
Charge Conjugation | p. 437 |
Electric Dipole Moment | p. 438 |
CPT-Invariance | p. 439 |
Relativistic Quantum Mechanics | p. 440 |
Lagrangians | p. 440 |
Covariance | p. 441 |
Electromagnetic Field | p. 442 |
Relativistic Equations | p. 444 |
Particle at rest | p. 446 |
Covariant form: [gamma] matrices | p. 446 |
Probability and Current | p. 448 |
Wavefunction Transformation | p. 448 |
Bilinear Covariants | p. 450 |
Parity | p. 451 |
Plane Waves | p. 451 |
Summary of plane wave spinor properties | p. 453 |
Projection operators | p. 454 |
Plane Wave Expansion | p. 454 |
Electromagnetic Interaction | p. 455 |
Pauli Equation | p. 455 |
Spin-orbit and Darwin terms | p. 457 |
Useful Constants and Conversion Factors | p. 459 |
Constants | p. 459 |
Masses | p. 460 |
Conversion Factors | p. 460 |
References | p. 461 |
Index | p. 469 |
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