From nucleons to nucleus : concepts of microscopic nuclear theory
 Author/Creator
 Suhonen, Jouni.
 Language
 English.
 Imprint
 Berlin ; New York : Springer, c2007.
 Physical description
 xxi, 645 p. : ill. ; 25 cm.
 Series
 Theoretical and mathematical physics (Springer (Firm))
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QC776 S84 2007

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QC776 S84 2007
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. [629]631) and index.
 Contents

 PART I: PARTICLES AND HOLES 1. Manipulation of geometric coefficients 1.1 The ClebschGordan coefficients and 3jsymbols 1.2 The 6j and 9j symbols 2. Tensor operators and the WignerEckart theorem 2.1 Sherical tensor operators 2.2 The WignerEckart theorem 3. The nuclear mean field and manynucleon configurations 3.1 The nuclear mean field 3.2 Manynucleon configurations 4. The occupationnumber representation 4.1 Particle creation and annihilation 4.2 Occupationnumber representation of one and twobody operators 4.3 Evaluation of the manyparticle matrix elements: Wick's theorem 4.4 Particlehole representation 4.5 Derivation of the HartreeFock equation by using the Wick's theorem 5. The meanfield shell model 5.1 Valence space 5.2 Oneparticle and onehole nuclei 5.3 Twoparticle and twohole nuclei 5.4 Particlehole nuclei 5.5 Isospin representation of fewnucleon systems 5.5.1 General isospin formalism 5.5.2 The isospin representation of twoparticle and twohole nuclei 5.5.3 The isospin representation of particlehole nuclei 6. Electromagnetic multipole moments and transitions 6.1 General properties of electromagnetic observables 6.2 Electromagnetic transitions in oneparticle and onehole nuclei 6.3 Electromagnetic transitions in twoparticle and twohole nuclei 6.4 Electromagnetic transitions in particlehole nuclei 6.4.1 Chargeconserving particlehole excitations 6.4.2 Chargechanging particlehole excitations 6.5 Isoscalar and isovector transitions 7. Betadecay transitions 7.1 General properties of the nuclear beta decay 7.2 Matrix elements and decay halflives 7.3 Betadecay transitions in oneparticle and onehole nuclei 7.4 Betadecay transitions in particlehole nuclei 7.5 Betadecay transitions in twoparticle and twohole nuclei 7.6 Forbidden unique beta decays 7.7 Betadecay transitions between particlehole states 8. The nuclear twobody interaction and twoparticle configuration mixing 8.1 General properties of the nuclear twobody interaction 8.2 Separable interactions: the surfacedelta interaction 8.3 Configuration mixing in twoparticle nuclei 8.4 Configuration mixing in twohole nuclei 8.5 Electromagnetic and betadecay transitions in twoparticle and twohole nuclei 9. Particlehole excitations and the TDA 9.1 The TammDancoff approximation 9.2 The TDA for general separable forces 9.3 Excitation spectra of doublymagic nuclei 9.4 Electromagnetic transitions in doublymagic nuclei 9.4.1 Transitions to the particlehole ground state 9.4.2 Transitions between two TDA states 9.5 Electric transitions in the schematic separable model 10. Chargechanging particlehole excitations: the pnTDA 10.1 The protonneutron TammDancoff approximation 10.2 Electromagnetic transitions in the pnTDA 10.3 Betadecay transitions in the pnTDA 10.3.1 Transitions to the particlehole vacuum 10.3.2 Transitions to the particlehole excitations of the TDA 11. The randomphase approximation 11.1 The equationsofmotion method 11.2 Sophisticated particlehole theories: the RPA 11.3 Properties of the RPA solutions 11.4 RPA solutions of the schematic separable model 11.5 RPA description of doublymagic nuclei 11.6 Electromagnetic transitions in the RPA framework 11.6.1 Transitions to the RPA ground state 11.6.2 The energyweighted sum rule 11.6.3 Electric transitions to the RPA ground state in the schematic model 11.6.4 Electromagnetic transitions between two RPA states PART II: QUASIPARTICLES 12. Nuclear pairing and seniority 12.1 Evidence of the nucleon pairing 12.2 Pure pairing force 12.3 Twoparticle spectrum of the pure pairing force 12.4 Seniority model of the pure pairing force 12.5 The twolevel model 12.6 Two particles in a valence space of many j shells 13. BCS theory 13.1 BCS quasiparticles and their vacuum 13.2 Occupationnumber representation for the BCS quasiparticles 13.3 BCS equation and its derivation 13.4 General properties of the BCS equations studied in simple models 13.4.1 The case of a single j shell 13.4.2 The case of the Lipkin model 14. The quasiparticle mean field: the BCS and beyond 14.1 Numeric solution of the BCS equations 14.2 The LipkinNogami BCS theory 14.3 The LipkinNogami BCS in simple solvable models 14.3.1 The case of a single j shell 14.3.2 Application of the LNBCS to the Lipkin model 14.4 Application of the LNBCS to realistic calculations 15. Transitions in the quasiparticle picture 15.1 Quasiparticle representation of a onebody transition operator 15.2 Transition densities between one and twoquasiparticle states 15.2.1 Transitions between onequasiparticle states 15.2.2 Transitions between twoquasiparticle states and the BCS vacuum 15.2.3 Transitions between twoquasiparticle states 15.3 Openshell oddA nuclei 15.4 Decays of states of the eveneven and oddodd nuclei to the BCS vacuum 15.5 Transitions between twoquasiparticle states 15.5.1 Electromagnetic transitions between twoquasiparticle states 15.5.2 Betadecay transitions between twoquasiparticle states 16. Simple twoquasiparticle configuration mixing 16.1 Quasiparticle representation of the residual interaction 16.2 Derivation of the quasiparticleTDA equations 16.3 General properties of the QTDA solutions 16.4 Excitation spectra of openshell eveneven nuclei 16.5 Electromagnetic transitions in openshell eveneven nuclei 16.5.1 Transitions to the final ground state 16.5.2 The QTDA sum rule for the electromagnetic transitions 16.5.3 Transitions between two QTDA states 17. Protonneutron QTDA for openshell oddodd nuclei 17.1 The protonneutron QTDA 17.2 Excitation spectra of openshell oddodd nuclei 17.3 Electromagnetic transitions in the pnQTDA framework 17.4 Betadecay transitions in the pnQTDA framework 17.4.1 Transitions to and from an eveneven ground state 17.4.2 The Ikeda sum rule and the pnQTDA 17.4.3 Betadecay transitions between a QTDA and a pnQTDA state 18. Mixing twoquasiparticle excitations by using the QRPA 18.1 The QRPA equations 18.2 General properties of the QRPA solutions 18.3 QRPA description of openshell eveneven nuclei 18.4 Electromagnetic transitions in the QRPA framework 18.4.1 Transitions to the QRPA ground state 18.4.2 The energyweighted sum rule for the QRPA 18.4.3 Electromagnetic transitions between two QRPA states 19. Protonneutron twoquasiparticle mixing and the pnQRPA 19.1 The pnQRPA equations and their basic properties 19.2 Description of the openshell oddodd nuclei by the pnQRPA 19.3 Electromagnetic transitions in the pnQRPA formalism 19.4 Betadecay transitions in the pnQRPA framework 19.4.1 Transitions involving the eveneven ground state 17.4.2 The Ikeda sum rule for the pnQRPA 17.4.3 Betadecay transitions between a QRPA and a pnQRPA state.
 (source: Nielsen Book Data)
 Publisher's Summary
 "From Nucleons to Nucleus" deals with singleparticle and collective features of spherical nuclei. Each nuclear model is introduced and derived in detail. The formalism is then applied to light and mediumheavy nuclei in workedout examples, and finally the acquired skills are strengthened by a wide selection of exercises, many relating the models to experimental data. For consistency, the surface delta interaction is used in all applications requiring configuration mixing. Nuclear properties are discussed using particles, holes and quasiparticles. A large number of matrix elements of standard operators have been tabulated for reference. "From Nucleons to Nucleus" is based on lectures on nuclear physics given by the author. It's main scope is thus to serve as a textbook for advanced students. But also researchers will appreciate it as wellbalanced reference to theoretical nuclear physics.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2007
 Responsibility
 Jouni Suhonen.
 Series
 Theoretical and mathematical physics
 ISBN
 9783540488590
 3540488596
 ISSN
 01725998