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

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Page 147

(6) in eq. (7) (8) p(y;i)d/'0< = 2.-— 1 — exP[—roj/2<r.<>]. , so that This is the well-

known Porter-Thomas distribution [2] which gives a good description of the

experimental distribution of neutron widths. Its

Fig. 4.

(6) in eq. (7) (8) p(y;i)d/'0< = 2.-— 1 — exP[—roj/2<r.<>]. , so that This is the well-

known Porter-Thomas distribution [2] which gives a good description of the

experimental distribution of neutron widths. Its

**qualitative**behaviour is shown inFig. 4.

Page 148

... <lie Ei < 22 +772, since outside this region the denominator just mentioned

becomes large, so that contributions are small. To see the

consequences of the random approximation let us replace the denominator by a

constant for ...

... <lie Ei < 22 +772, since outside this region the denominator just mentioned

becomes large, so that contributions are small. To see the

**qualitative**consequences of the random approximation let us replace the denominator by a

constant for ...

Page 150

In general one should of course make a deliberate separation between the

random and nonrandom part of the compound matrix element, as we will see in a

moment. In order to obtain a quantitative and not only a

the ...

In general one should of course make a deliberate separation between the

random and nonrandom part of the compound matrix element, as we will see in a

moment. In order to obtain a quantitative and not only a

**qualitative**description ofthe ...

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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