Nuclear Superfluidity: Pairing in Finite Systems

David M. Brink; Ricardo A. Broglia

doi:10.1017/9781009401920

Nuclear Superfluidity is a monograph devoted exclusively to pair correlations in nuclei. It begins by exploring pair correlations in a variety of systems including superconductivity in metals at low temperatures and superfluidity in liquid 3He and in neutron stars. The book goes on to introduce basic theoretical methods, symmetry breaking and symmetry restoration in finite many-body systems. The last few chapters are devoted to introducing results on the role of induced interactions in the structure of both normal and exotic nuclei. The most important of these is the renormalization of the pairing interaction due to the coupling of pairs of nucleons to low energy nuclear collective excitations. This book will be essential reading for researchers and students in experimental and theoretical nuclear physics, and related research fields such as metal clusters, fullerenes and quantum dots. This 2005 title has been reissued as an Open Access publication on Cambridge Core.

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Contents

Frontmatter
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Dedication
pp v-vi
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Contents
pp vii-x
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Preface
pp xi-xiv
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1 - Introduction
pp 1-32
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2 - The pairing force and seniority
pp 33-51
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3 - The BCS theory
pp 52-71
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4 - Spontaneous symmetry breaking
pp 72-91
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5 - Pairing vibrations
pp 92-116
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6 - Phase transitions
pp 117-153
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7 - Plastic behaviour of nuclei and other finite systems
pp 154-169
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8 - Sources of pairing in nuclei
pp 170-203
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9 - Beyond mean field
pp 204-218
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10 - Induced interaction
pp 219-256
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11 - Pairing in exotic nuclei
pp 257-279
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Appendix A - A brief résumé of second quantization
pp 280-291
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Appendix B - Single particle in a non-local potential
pp 292-296
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Appendix C - Useful relations in the treatment of collective modes
pp 297-298
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Appendix D - Particle-vibration coupling
pp 299-304
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Appendix E - Model of the single-particle strength function
pp 305-307
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Appendix F - Simple model of Pauli principle corrections
pp 308-309
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Appendix G - Pairing mean-field solution
pp 310-319
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Appendix H - Pairing in a single j-shell
pp 320-326
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Appendix I - Fluctuations and symmetry restoration
pp 327-334
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Appendix J - RPA solution of the pairing Hamiltonian
pp 335-348
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Appendix K - Vortices in nuclei
pp 349-355
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Appendix L - Josephson effect
pp 356-360
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References
pp 361-373
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Index
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Nuclear Superfluidity

Pairing in Finite Systems

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