## Proceedings of the International School of Physics "Enrico Fermi.", Volume 23N. Zanichelli, 1963 - Nuclear physics |

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Page 107

With the wave function (11) it is straightforward to evaluate matrix elements of

potentials with exchange

With the wave function (11) it is straightforward to evaluate matrix elements of

potentials with exchange

**interactions**, and one avoids having to go through the**particle**-**hole**conjugation procedure of Racah. In order to investigate further ...Page 113

one finds: 1) the

and decreases in this order. The vibrations of the opposite parity (magnetic) are

weaker, ...

one finds: 1) the

**particle**-**hole interaction**is strongest for T =0 states; 2) the**particle**-**hole interaction**is strongest for 0 +, 1—, 2+, 3— ... (electric) vibrations,and decreases in this order. The vibrations of the opposite parity (magnetic) are

weaker, ...

Page 131

Incidentally, we have included not only the direct terms, shown in the figures, but

also the exchange terms, since our

Voh l 56> = <16 | V 1 25> - <61 ] V | 25> , in terms of the particle-particle

Incidentally, we have included not only the direct terms, shown in the figures, but

also the exchange terms, since our

**particle**-**hole**matrix element is (40.2) <12 |Voh l 56> = <16 | V 1 25> - <61 ] V | 25> , in terms of the particle-particle

**interaction**...### What people are saying - Write a review

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### Contents

Lectures | 1 |

G E Brown Collective motion and the application of manybody | 99 |

T Ep icson The compound nucleus and the random phase approximation | 142 |

Copyright | |

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### Common terms and phrases

amplitude approximation assume calculated closed shells coefficients commutation compound configuration consider corresponding coupling cross-section define deformed describe determined diagonal dipole dipole strength discuss eigenfunctions eigenstate eigenvalues electron equation excitation energy expectation value experimental factor force gives Green's function ground Hamiltonian harmonic oscillator Hartree-Fock hermitian adjoint hole hyperfine-structure intrinsic irreducible representation isobaric spin isospin isotope shift large number lecture levels linear magnetic matrix elements Ml transitions Mottelson multipole neutron nuclear charge distribution nucleon nucleus number of particles obtained one-particle operator operator F optical potential orbitals orthogonal pair parameters particle-hole interaction perturbation theory Phys physical problem proton quadrupole qualitative quantum number quasi-particle random relation residual interaction resonant rotation rotation group scattering self-consistent shell-model shown single-particle solution spectrum spherical symmetry time-dependent tion total angular momentum two-body two-particle unperturbed variation vector vibrations wave function wave-functions width y-ray zero