Shell-model Applications in Nuclear Spectroscopy

6-j symbols A₁ according to eq active orbits active particles angular momentum annihilation operators antisymmetric beta decay binding energy chapter Clebsch-Gordan coefficients configuration space contribution core Coulomb coupled denotes derived diagonal diagrams discussed effective interaction eigenvalues electromagnetic transition equation evaluation excitation energies experimental data expression given in eq Hamiltonian initial and final isospin J₁ Kronecker delta labels leads magnetic many-particle model space MSDI multipole multipole moments neutron normalization nuclear nuclei nucleons number of particles obtains parameters parity permutations potential protons quadrupole quadrupole moment quantization quantum numbers radial reactions reduced matrix elements relation residual interaction result second quantization sect shell single-particle energies single-particle matrix elements single-shell spectroscopic factor spherical summation T₁ T₂ tensor tion transition rates two-body matrix elements two-particle vanishes vector wave functions Wigner-Eckart theorem α β αβ Γε Гі