Fifty years of nuclear BCS : pairing in finite systems / editors, Ricardo A. Broglia, University of Copenhagen, Denmark, Vladimir Zelevinsky, Michigan State University, USA.

Format:

Book

Contributor:

Broglia, R. A., editor.

Zelevinsky, Vladimir, editor.

Series:

Gale eBooks

Language:

English

Subjects (All):

Pairing correlations (Nuclear physics).

Superconductivity.

Superfluidity.

Physical Description:

1 online resource (xxi, 670 pages) : illustrations (some color)

Place of Publication:

New Jersey : World Scientific, [2013]

Language Note:

English

Summary:

This unique volume reviews more than fifty years of theoretical and experimental developments of the concept that properties of atomic nuclei up to a great extent are defined by the pair correlations of nuclear constituents - protons and neutrons. Such correlations in condensed matter are responsible for quantum phenomena on a macroscopic level - superfluidity and superconductivity. After introducing Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity of metals, it became clear that atomic nuclei have properties of superfluid drops, and practically all features of nuclei strongly depend on the pair correlations. Presenting a comprehensive overview of the progress of nuclear science, the contributions from leading physicists around the world, cover the whole spectrum of studies in nuclear physics and physics of other small systems. With the most updated information written in an accessible way, the volume will serve as an irreplaceable source of references covering many years of development and insight into several new problems at the frontiers of science. It will be useful not only for physicists working in nuclear and condensed matter physics, astrophysicists, chemists and historians of science, but will also help students understand the current status and perspectives for the future.

Contents:

Contents; Dedication; Preface; Acknowledgments; A. BCS Pairing (and Beyond) in Nuclear Structure and Dynamics; 1. Pair Correlations in Nuclei: Copenhagen, 1958 S. T. Belyaev; References; 2. The BCS-BRST Solution to the Nuclear Pairing Problem. A Case of Broken Symmetries D. R. Bes; 1. Introduction; 2. The Pairing Operator and the Pairing Hamiltonian; 2.1. Elementary degrees of freedom in a closed-shell nucleus; 3. The BCS Solution; 4. The Collective Sector; 5. A Presentation of the BRST Symmetry for the Abelian Case; 6. The Elementary Modes of Excitation; 7. Perturbation Theory

8. ConclusionsAppendix A. Some Features of the BCS Solution; References; 3. Nuclear Pairing: Basic Phenomena Revisited G. F. Bertsch; 1. Basic Phenomena; 1.1. Pairing gaps: odd-even binding energy differences; 1.2. Basic spectral properties; 2. Theory; 2.1. Mean field considerations; 2.2. Strength of the pairing interaction; 2.2.1. Origin of the pairing interaction; 2.2.2. Spin-triplet pairing; 2.3. Dynamics; 2.3.1. Rotational inertia; 2.3.2. Large amplitude collective motion; Acknowledgment; References

4. Hartree-Fock-Bogoliubov Solution of the Pairing Hamiltonian in Finite Nuclei J. Dobaczewski and W. Nazarewicz1. Introduction; 2. Basics of Pairing Correlations; 3. Hartree-Fock-Bogoliubov Theory; 4. Beneath the Bottom of the Bogoliubov Sea; 5. Pairing Functional; 6. Pairing and the HFB Continuum; 7. Regularization of the Local Pairing Interaction; 8. Pairing in Odd-Mass Nuclei; 9. Summary and Conclusions; Acknowledgments; References; 5. Spatial Structure of Cooper Pairs in Nuclei M. Matsuo; 1. Introduction; 2. Dilute Neutron Matter; 3. Cooper Pair in Neutron-Rich Nuclei

4. Probing the Spatially Correlated Cooper Pair4.1. Soft modes; 4.2. Two-neutron transfer; References; 6. Pairing Beyond BCS A. Volya and V. Zelevinsky; 1. Introduction; 2. Particle Number Conservation; 2.1. Pairing and quasispin group; 2.2. BCS approach; 2.3. Particle number conservation; 3. Generalizations of the Pairing Scheme; 3.1. Three-body forces; 3.2. Four-body forces and alpha-type correlations; 4. Pairing Phases and Phase Transitions; 5. Chaotic Properties of Pairing; 6. Pairing and Particle Decay; 7. Conclusions; Acknowledgments; References

7. Pairing in Finite Systems: Beyond the HFB Theory L. M. Robledo and G. F. Bertsch1. Introduction; 2. Sign of HFB Overlaps with the Pfaffian Technique; 3. Gradient Method for the HFB Equation of Odd-A Systems; 4. Conclusions and Perspective; Acknowledgments; References; 8. Superfluid Local Density Approximation: A Density Functional Theory Approach to the Nuclear Pairing Problem A. Bulgac; 1. Why Use a Density Functional Theory Approach?; 2. DFT for a System with Pairing Correlations; 3. Nuclear DFT; References; 9. BCS-Pairing and Nuclear Vibrations K. Matsuyanagi, N. Hinohara and K. Sato

1. Introduction

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9781299463141

1299463142

9789814412490

981441249X

OCLC:

841809753