 | Thompson I.J. Nuclear reactions for astrophysics: principles, calculation and applications of low-energy reactions / I.J.Thompson, F.M.Nunes. - Cambridge: Cambridge University Press, 2009. - xiii, 466 p.: ill. - Bibliogr.: p.455-456. - Ind.: p.457-466. - ISBN 978-0-521-85635-5
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Preface page ................................................... ix
Sources of quotations ......................................... xii
Acknowledgements ............................................. xiii
1 Nuclei in the Cosmos ......................................... 1
1.1 Nuclei .................................................. 1
1.2 Primordial nucleosynthesis .............................. 6
1.3 Reactions in light stars ................................ 9
1.4 Heavy stars ............................................ 17
1.5 Explosive production mechanisms ........................ 21
1.6 Outlook ................................................ 26
2 Reactions of nuclei ......................................... 28
2.1 Kinds of states and reactions .......................... 28
2.2 Time and energy scales ................................. 31
2.3 Collisions ............................................. 34
2.4 Cross sections ......................................... 42
3 Scattering theory ........................................... 48
3.1 Elastic scattering from spherical potentials ........... 48
3.2 Multi-channel scattering ............................... 75
3.3 Integral forms ......................................... 91
3.4 Identical particles ................................... 105
3.5 Electromagnetic channels .............................. 114
4 Reaction mechanisms ........................................ 129
4.1 Optical potentials .................................... 129
4.2 Single-nucleon binding potentials ..................... 132
4.3 Coupling potentials ................................... 137
4.4 Inelastic couplings ................................... 141
4.5 Particle rearrangements ............................... 150
4.6 Isospin transitions ................................... 158
4.7 Photo-nuclear couplings ............................... 161
5 Connecting structure with reactions ........................ 173
5.1 Summary of structure models ........................... 173
5.2 Folded potentials ..................................... 186
5.3 Overlap functions ..................................... 190
5.4 General matrix elements ............................... 196
6 Solving the equations ...................................... 200
6.1 Elastic scattering .................................... 200
6.2 Classifications ....................................... 202
6.3 Multi-channel equations ............................... 204
6.4 Multi-channel bound states ............................ 215
6.5 R-matrix methods ...................................... 217
6.6 Coupled asymptotic wave functions ..................... 226
7 Approximate solutions ...................................... 229
7.1 Few-body adiabatic scattering ......................... 229
7.2 Eikonal methods ....................................... 237
7.3 First-order semiclassical approximation ............... 245
7.4 WKB approximation ..................................... 247
8 Breakup .................................................... 254
8.1 Three-body wave equations ............................. 254
8.2 Continuum Discretized Coupled Channel method .......... 259
8.3 Other breakup measures and methods .................... 270
9 Three-body nuclei .......................................... 274
9.1 Definitions of halo and deeply bound states ........... 274
9.2 Three-body models for bound states .................... 276
9.3 Three-body continuum .................................. 285
9.4 Reactions with three-body projectiles ................. 287
10 R-matrix phenomenology ..................................... 296
10.1 R-matrix parameters .................................. 296
10.2 Single-channel R matrix .............................. 297
10.3 Coupled-channels R matrix ............................ 305
10.4 Combining direct and resonant contributions .......... 311
11 Compound-nucleus averaging ................................. 314
11.1 Compound-nucleus phenomena ........................... 314
11.2 Approximations neglecting interference ............... 317
11.3 Hauser-Feshbach models ............................... 318
11.4 Level densities ...................................... 327
11.5 Average amplitudes and the optical model ............. 329
12 Stellar reaction rates and networks ........................ 340
12.1 Thermal averaging .................................... 340
12.2 Reaction networks .................................... 350
12.3 Equilibria ........................................... 354
12.4 Sensitivities to nuclear data ........................ 360
13 Connection to experiments .................................. 364
13.1 New accelerators and their methods ................... 364
13.2 Detection ............................................ 367
13.3 Direct measurements .................................. 373
14 Spectroscopy ............................................... 379
14.1 Transfer spectroscopy ................................ 379
14.2 Knockout spectroscopy ................................ 390
14.3 Inelastic spectroscopy ............................... 394
14.4 Breakup spectroscopy ................................. 396
14.5 Charge-exchange spectroscopy ......................... 398
15 Fitting data ............................................... 403
15.1 χ2 measures .......................................... 403
15.2 Fitting cross-section harmonic multipoles ............ 409
15.3 Fitting optical potentials ........................... 410
15.4 Multi-channel fitting ................................ 412
15.5 Searching ............................................ 414
Appendix A Symbols ............................................ 419
Appendix В Getting started with Fresco ........................ 433
Select bibliography ........................................... 455
Index ......................................................... 457
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