Nuclear Fission And Cluster Radioactivity An Energy Density Functional Approach

NUCLEAR FISSION AND CLUSTER RADIOATIVITY: AN ENERGY-DENSITY FUNCTIONAL APPROACH......Page 1
Springerlink......Page 0
Half-title......Page 2
Title Page......Page 3
Copyright Page......Page 4
Dedication......Page 6
Preface......Page 8
Contents......Page 10
1.1 Introduction......Page 13
1.2 Half-Lives and Spontaneous Decay......Page 14
1.3 Induced Fission......Page 15
1.4 Mass, Charge and Average Total Kinetic Energy Distribution......Page 19
1.5 Cooling of Daughter Pairs......Page 21
1.6 Ternary and Quaternary Fission......Page 23
1.7 Fission Isomers......Page 26
1.8 Cold Fission......Page 27
1.9 Cluster Radioactivity......Page 28
1.10 Pre-Amble......Page 29
References......Page 31
2.1 Introduction......Page 35
2.2 The Energy-Density Functional for Nuclei......Page 37
2.3 Conclusion......Page 41
References......Page 43
3.1 Introduction......Page 45
3.2.1 Expression for the Fission Decay Probability......Page 48
3.2.2 Determination of the Pre-Formation Probability......Page 51
3.2.3 The Influence of the Residual Interaction on the Pre-Formation Probability......Page 53
3.3 Calculation of the Potential Energy Surface and Half-Lives......Page 55
3.4.1 The Potential Energy Surface......Page 62
3.4.2 Half-Lives......Page 66
References......Page 70
4.1 Introduction......Page 73
4.2 Determination of Asymptotic Kinetic Energy......Page 75
4.3 Spontaneous Fission of 258 Fm......Page 76
4.4 The Potential-Energy Surface and Half-Lives of Superheavy Elements......Page 77
References......Page 82
5.1 Introduction......Page 85
5.2 The Nature of the Empirical Barrier......Page 86
5.3 Empirical Formula for Kinetic Energy......Page 92
5.4.1 Spontaneous Fission Half-Lives......Page 93
5.4.2 Mass Spectra......Page 94
5.4.3 Charge Distribution......Page 98
5.5 Conclusion......Page 102
References......Page 103
6.1 Introduction......Page 105
6.2.1 Cross Section and Decay Probabilities......Page 106
6.2.2 Calculation of the Most Probable Kinetic Energy, TKE......Page 110
6.3 Applications......Page 111
6.3.1a Neutron Induced Fission of 233 U......Page 113
6.3.1b Neutron Induced Fission of 235 U......Page 116
6.3.1c Neutron Induced Fission of 239 Pu......Page 117
6.3.1e Fission Widths......Page 119
6.3.2 Test of Compound Nucleus Formation Hypothesis......Page 120
6.3.4 Alpha-Particle Induced Fission of 226 Ra......Page 121
6.3.5 Alpha-Particle Induced Fission of 232 Th......Page 123
6.4 The Role of the Barrier and the Shape of the Yield-Spectrum......Page 124
6.5 Conclusion......Page 127
References......Page 128
7.1 Introduction......Page 131
7.2 Summary of Data Pointing to Hot and Cold Fission......Page 132
7.3 Theory and Discussion......Page 135
7.4 Odd-Even Effect......Page 143
References......Page 145
8.1 Introduction......Page 147
8.2 The Shell Correction and Shape Isomers......Page 148
8.3 Half-Lives, Mass Yields and Kinetic Energy Spectra......Page 154
References......Page 162
9.1 Introduction......Page 165
9.2 Models Based on the Gamow-Condon-Gurney Approach......Page 168
9.3 The Quasi-Stationary State Model......Page 172
9.4 The Energy-Density Functional Approach......Page 174
9.5 The Surface-Cluster Model......Page 176
9.6 Conclusion......Page 182
References......Page 184
Appendix A. The Relation Between the Asymptotic Kinetic Energy, and the Condition for the Existence of a Meta-Stable State......Page 187
References......Page 190
B.1 Exact Expression......Page 191
B.2 JWKB Approximation......Page 193
References......Page 195
Appendix C. Diagonalization of the Coupled Set of Equations Describing Fission......Page 197
References......Page 199
Author Index......Page 201
Index......Page 203
Copyright Permission......Page 208