## Shell-model applications in nuclear spectroscopy |

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### Contents

Introduction | 1 |

One and twoparticle systems | 10 |

Perturbation theory and configuration mixing | 34 |

Copyright | |

20 other sections not shown

### Common terms and phrases

9-j symbols according to eq active orbits active particles amplitudes angular momentum annihilation operators antisymmetric application assumed beta decay binding energy chapter Clebsch-Gordan coefficients closed-shell components configuration space contribution core corresponding denotes derived described diagonal diagrams discussed effective interaction eigenvalues electric electromagnetic transition equation evaluation excitation energies expansion expectation value experimental data expression G matrix given in eq Hamiltonian harmonic-oscillator Hartree-Fock hole initial and final isospin Kronecker delta leads many-particle model space MSDI multipole moments neutron normalization nuclear nuclei nucleons number of particles obtains parameters parity permutations perturbation protons quadrupole quantum numbers radial reactions recoupling reduced matrix elements relation represents residual interaction result right-hand side second quantization sect shell shell-model calculations single-particle single-particle energies single-particle matrix elements single-shell spectroscopic factor spherical summation symbols symmetric tensor tion transfer transition operators transition rates two-body matrix elements two-particle vanishes vector wave functions Wigner-Eckart theorem