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From nucleons to nucleus : concepts of microscopic nuclear theory / Jouni Suhonen.



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Suhonen, Jouni.
Publication date:
Berlin ; New York : Springer, c2007.
  • Book
  • xxi, 645 p. : ill. ; 25 cm.
Includes bibliographical references (p. [629]-631) and index.
  • PART I: PARTICLES AND HOLES 1. Manipulation of geometric coefficients 1.1 The Clebsch-Gordan coefficients and 3j-symbols 1.2 The 6-j and 9-j symbols 2. Tensor operators and the Wigner-Eckart theorem 2.1 Sherical tensor operators 2.2 The Wigner-Eckart theorem 3. The nuclear mean field and many-nucleon configurations 3.1 The nuclear mean field 3.2 Many-nucleon configurations 4. The occupation-number representation 4.1 Particle creation and annihilation 4.2 Occupation-number representation of one- and two-body operators 4.3 Evaluation of the many-particle matrix elements: Wick's theorem 4.4 Particle-hole representation 4.5 Derivation of the Hartree-Fock equation by using the Wick's theorem 5. The mean-field shell model 5.1 Valence space 5.2 One-particle and one-hole nuclei 5.3 Two-particle and two-hole nuclei 5.4 Particle-hole nuclei 5.5 Isospin representation of few-nucleon systems 5.5.1 General isospin formalism 5.5.2 The isospin representation of two-particle and two-hole nuclei 5.5.3 The isospin representation of particle-hole nuclei 6. Electromagnetic multipole moments and transitions 6.1 General properties of electromagnetic observables 6.2 Electromagnetic transitions in one-particle and one-hole nuclei 6.3 Electromagnetic transitions in two-particle and two-hole nuclei 6.4 Electromagnetic transitions in particle-hole nuclei 6.4.1 Charge-conserving particle-hole excitations 6.4.2 Charge-changing particle-hole excitations 6.5 Isoscalar and isovector transitions 7. Beta-decay transitions 7.1 General properties of the nuclear beta decay 7.2 Matrix elements and decay half-lives 7.3 Beta-decay transitions in one-particle and one-hole nuclei 7.4 Beta-decay transitions in particle-hole nuclei 7.5 Beta-decay transitions in two-particle and two-hole nuclei 7.6 Forbidden unique beta decays 7.7 Beta-decay transitions between particle-hole states 8. The nuclear two-body interaction and two-particle configuration mixing 8.1 General properties of the nuclear two-body interaction 8.2 Separable interactions: the surface-delta interaction 8.3 Configuration mixing in two-particle nuclei 8.4 Configuration mixing in two-hole nuclei 8.5 Electromagnetic and beta-decay transitions in two-particle and two-hole nuclei 9. Particle-hole excitations and the TDA 9.1 The Tamm-Dancoff approximation 9.2 The TDA for general separable forces 9.3 Excitation spectra of doubly-magic nuclei 9.4 Electromagnetic transitions in doubly-magic nuclei 9.4.1 Transitions to the particle-hole ground state 9.4.2 Transitions between two TDA states 9.5 Electric transitions in the schematic separable model 10. Charge-changing particle-hole excitations: the pn-TDA 10.1 The proton-neutron Tamm-Dancoff approximation 10.2 Electromagnetic transitions in the pn-TDA 10.3 Beta-decay transitions in the pn-TDA 10.3.1 Transitions to the particle-hole vacuum 10.3.2 Transitions to the particle-hole excitations of the TDA 11. The random-phase approximation 11.1 The equations-of-motion method 11.2 Sophisticated particle-hole theories: the RPA 11.3 Properties of the RPA solutions 11.4 RPA solutions of the schematic separable model 11.5 RPA description of doubly-magic nuclei 11.6 Electromagnetic transitions in the RPA framework 11.6.1 Transitions to the RPA ground state 11.6.2 The energy-weighted 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 Two-particle spectrum of the pure pairing force 12.4 Seniority model of the pure pairing force 12.5 The two-level 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 Occupation-number 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 Lipkin-Nogami BCS theory 14.3 The Lipkin-Nogami 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 one-body transition operator 15.2 Transition densities between one- and two-quasiparticle states 15.2.1 Transitions between one-quasiparticle states 15.2.2 Transitions between two-quasiparticle states and the BCS vacuum 15.2.3 Transitions between two-quasiparticle states 15.3 Open-shell odd-A nuclei 15.4 Decays of states of the even-even and odd-odd nuclei to the BCS vacuum 15.5 Transitions between two-quasiparticle states 15.5.1 Electromagnetic transitions between two-quasiparticle states 15.5.2 Beta-decay transitions between two-quasiparticle states 16. Simple two-quasiparticle configuration mixing 16.1 Quasiparticle representation of the residual interaction 16.2 Derivation of the quasiparticle-TDA equations 16.3 General properties of the QTDA solutions 16.4 Excitation spectra of open-shell even-even nuclei 16.5 Electromagnetic transitions in open-shell even-even 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. Proton-neutron QTDA for open-shell odd-odd nuclei 17.1 The proton-neutron QTDA 17.2 Excitation spectra of open-shell odd-odd nuclei 17.3 Electromagnetic transitions in the pnQTDA framework 17.4 Beta-decay transitions in the pnQTDA framework 17.4.1 Transitions to and from an even-even ground state 17.4.2 The Ikeda sum rule and the pnQTDA 17.4.3 Beta-decay transitions between a QTDA and a pnQTDA state 18. Mixing two-quasiparticle excitations by using the QRPA 18.1 The QRPA equations 18.2 General properties of the QRPA solutions 18.3 QRPA description of open-shell even-even nuclei 18.4 Electromagnetic transitions in the QRPA framework 18.4.1 Transitions to the QRPA ground state 18.4.2 The energy-weighted sum rule for the QRPA 18.4.3 Electromagnetic transitions between two QRPA states 19. Proton-neutron two-quasiparticle mixing and the pnQRPA 19.1 The pnQRPA equations and their basic properties 19.2 Description of the open-shell odd-odd nuclei by the pnQRPA 19.3 Electromagnetic transitions in the pnQRPA formalism 19.4 Beta-decay transitions in the pnQRPA framework 19.4.1 Transitions involving the even-even ground state 17.4.2 The Ikeda sum rule for the pnQRPA 17.4.3 Beta-decay transitions between a QRPA and a pnQRPA state.
  • (source: Nielsen Book Data)
Publisher's Summary:
"From Nucleons to Nucleus" deals with single-particle and collective features of spherical nuclei. Each nuclear model is introduced and derived in detail. The formalism is then applied to light and medium-heavy nuclei in worked-out 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 well-balanced reference to theoretical nuclear physics.
(source: Nielsen Book Data)
Theoretical and mathematical physics
Theoretical and mathematical physics (Springer (Firm))

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