“…For the light doubly closed shell nuclei, most of the low-lying nuclear states in He 5 and O 17 and low-energy phase shifts for scattering of neutrons from He 4 and O 16 can be explained in terms of the interaction of the neutron with average phenomenological potentials. [1][2][3] It is of considerable interest then to investigate the heaviest doubly closed shell nucleus, Pb 208 , from this point of view. With natural lead samples [Pb 208 (51.4%), Pb 206 (26.7%), Pb 207 (20.6%), and Pb 204 (1.3%)] only a few neutron resonances assigned to Pb 208 have been reported in the literature.…”
Measurements are reported on the total neutron cross section of isotopically enriched Pb 208 (99.75%) for neutron energies in the range from 720 to 1890 keV with an energy spread of about 3 keV. In this region at least 85 resonances are observed, of which 24 are analyzed to give tentative spin assignments and reduced widths. The reduced-width estimates furnish evidence that the J = 5/2 resonances at 723 and 821 keV have even parity. Differential cross sections of normal lead measured with 50-keV energy spread at 1.2, 2.2, and 3.2 MeV were used in estimating the in-scattering correction for the total cross-section data and are included in this paper.
“…For the light doubly closed shell nuclei, most of the low-lying nuclear states in He 5 and O 17 and low-energy phase shifts for scattering of neutrons from He 4 and O 16 can be explained in terms of the interaction of the neutron with average phenomenological potentials. [1][2][3] It is of considerable interest then to investigate the heaviest doubly closed shell nucleus, Pb 208 , from this point of view. With natural lead samples [Pb 208 (51.4%), Pb 206 (26.7%), Pb 207 (20.6%), and Pb 204 (1.3%)] only a few neutron resonances assigned to Pb 208 have been reported in the literature.…”
Measurements are reported on the total neutron cross section of isotopically enriched Pb 208 (99.75%) for neutron energies in the range from 720 to 1890 keV with an energy spread of about 3 keV. In this region at least 85 resonances are observed, of which 24 are analyzed to give tentative spin assignments and reduced widths. The reduced-width estimates furnish evidence that the J = 5/2 resonances at 723 and 821 keV have even parity. Differential cross sections of normal lead measured with 50-keV energy spread at 1.2, 2.2, and 3.2 MeV were used in estimating the in-scattering correction for the total cross-section data and are included in this paper.
“…The 0.871-MeV | + level in O 17 has been assigned a 2 S1/2 configuration from neutron scattering. 19 ' 20 These conclusions are summarized in Table II. Rough estimates of the magnitude of the spin-orbit splitting, relative transition probabilities, 21 position of the levels 22 ' 23 and integrated cross section 6 support this interpretation.…”
The energy and angular distribution of photoneutrons from 0 ls (y,n)0 17 are investigated. An O 18 target enriched to 90% is irradiated with bremsstrahlung of 20-MeV maximum energy from the University of Pennsylvania betatron. The photoneutrons are detected by recoil protons in nuclear emulsions at angles between 30 and 150° with the beam. Distinct peaks in the neutron spectrum at 1.3, 3.1, 7.4, and possibly at 1.7, 5.5, 9.2, and 10.5 MeV are observed. The peaks at 1.3 and 3.1 MeV can be accounted for in terms of single-particle excitation modes (25i/2 -> 2Pzi2,ii2) of a valence neutron without disturbing the O 16 core. These correspond to 1~ levels in O 18 at 10.3 and 12.2 MeV with transitions leaving O 17 in the J + excited state at 0.871 MeV. The angular distribution of the neutrons is predominantly sin 2 ® at low energies. At high energies, there is an indication of interference effects between electric dipole and quadrupole absorption.
“…Figure 4 illustrates the transformation. Besides the uniform form, the transformation r + 8 = exp(i0)r (27) can also have an exterior form (suggested by Simon [17] and Morgan and Simon [181): r < r, r 2 r, r, + exp(i0) (r -r,)…”
Section: E Gamow States and The Methods Of Complex Scalingmentioning
Examples from music and nuclear, as well as atomic and molecular, physics are given to introduce and illustrate the resonance concept. Some fundamental concepts of scattering theory such as the differential and the total cross section are presented. The concept of the collision complex is illustrated with a light particle scattering reaction in nuclear physics. The concept of channels is introduced, and this formalism (which is so far empirical in nature) is dressed in the language of quantum mechanics. Finally I show that our descriptions of phenomena in nuclear physics can also be used in atomic and molecular physics.
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