Analytic properties of the S matrix for a simple model of fixed-nuclei electron-polar-molecule scattering

1984 ◽  
Vol 17 (2) ◽  
pp. 279-297 ◽  
Author(s):  
H Estrada ◽  
W Domcke
Keyword(s):  
Simple Model ◽  
Polar Molecule ◽  
S Matrix ◽  
Molecule Scattering

Doorway States and Intermediate Structure Phenomena

1966 ◽  
Vol 21 (7) ◽  
pp. 896-901 ◽  
Author(s):  
Hans A. Weidenmüller
Keyword(s):  
Simple Model ◽  
Cross Section ◽  
Giant Resonance ◽  
Magnitude Estimate ◽  
Total Width ◽  
Intermediate Structure ◽  
Doorway State ◽  
S Matrix ◽  
Order Of Magnitude ◽  
The Relationship

The phenomenon of the distribution of a doorway state over many complicated compound nuclear states, i. e. the formation and properties of a so-called micro-giant resonance, are investigated analytically and numerically by means of a simple model. The distribution of the poles in the complex plane and the distribution of the residues of the S-matrix are obtained numerically and used to calculate the average cross-section. It is shown that the LANE-THOMAS-WIGNER theory applies, except for a possible correction to the shape of the resonance occuring in the cross-section averaged over the energy. This shape need not be describable by a LORENTzian. Estimates of the “spreading width” W and the “total width” W0 are given for particular cases. It is noteworthy that the relationship W0=W+Γ need not be correct even as an order-of-magnitude estimate, where Γ is the decay width of the doorway state.

Chaos and secular cycles in a structurally simple model society

2012 ◽  
Author(s):  
Alexander Medvinsky ◽  
Alexey Rusakov
Keyword(s):  
Simple Model
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