Statistical Models for Nuclear Decay: From Evaporation to Vaporization (Series in Fundamental and Applied Nuclear Physics)

STATISTICAL MODELS FOR NUCLEAR DECAY: From Evaporation to Vaporization......Page 1
Contents......Page 4
Preface......Page 6
Acknowledgements......Page 12
Useful Constants......Page 14
1.1 Introduction......Page 17
1.2 Microstates and macrostates......Page 20
1.3 Subsystems and convolution......Page 30
1.4 The Boltzmann distribution......Page 34
1.5 Statistical mechanics and thermodynamics......Page 41
1.6 The grand canonical ensemble......Page 47
1.7 Equations of state for ideal and real gases......Page 54
1.8 Pseudo-equilibrium......Page 62
1.9 Statistical models of nuclear decay......Page 64
References......Page 66
2.1 Introduction......Page 68
2.2 Elements of the theory of nuclear reactions......Page 69
2.3 Quantum mechanical description of scattering from a potential......Page 85
2.4 Decay rates and widths......Page 91
2.5 Level and state densities in atomic nuclei......Page 94
2.6 Angular momentum in quantum mechanics......Page 112
References......Page 118
3.1 Introduction......Page 121
3.2 The Bohr independence hypothesis......Page 122
3.3 The Weisskopf theory of evaporation from the compound nucleus......Page 126
3.4 The Optical Model of elastic scattering......Page 137
3.5 The Hauser–Feshbach evaporation model......Page 143
3.6 Fusion......Page 153
3.7 Pre-equilibrium emission......Page 159
3.8 Statistical models for fission at low excitation energies......Page 169
References......Page 178
4.1 Introduction......Page 181
4.2 Monte Carlo methods......Page 183
Algorithm 4.1.......Page 185
Algorithm 4.2.......Page 188
Algorithm 4.3.......Page 191
Algorithm 4.4.......Page 192
4.3 Monte Carlo treatment of a single evaporation step......Page 193
4.4 Multistep (sequential) evaporation......Page 205
4.5 Comparison with experiment......Page 207
4.6 Recoil correlations in sequential emission......Page 216
References......Page 220
5.1 Introduction......Page 223
5.2 Multidetectors......Page 227
5.3 The sequential decay model of Friedman and Lynch......Page 234
5.4 The transition state approach to sequential binary decay......Page 240
5.5 The expanding source model of Barbagallo, Richert and Wagner......Page 248
5.6 Characterization of decay mechanisms......Page 253
References......Page 261
6.1 Introduction......Page 263
6.2 Events, partitions and macrostates......Page 265
6.3 Framework for multifragmentation simulations......Page 268
6.4 The Copenhagen heated liquid drop model......Page 275
6.5 The Metropolis algorithm......Page 287
6.6 The Berlin Metropolis sampling multifragmentation model......Page 290
6.7 Corrections for finite size of fragments......Page 298
6.8 The Berkeley transition state model......Page 304
References......Page 310
7.1 Introduction......Page 311
7.2 Multifragmentation, percolation and fragment size distributions......Page 315
7.3 Caloric curves......Page 326
7.4 Vaporization......Page 337
References......Page 341
8.1 Summing up......Page 343
References......Page 348