Reaction Mechanisms in a Multichannel Scattering Theory for Identical Particles

1995 ◽  
Vol 18 (2-4) ◽  
pp. 213-227 ◽  
Author(s):  
Gy. Bencze ◽  
C. Chandler ◽  
A.G. Gibson ◽  
G.W. Pletsch
Keyword(s):  
Reaction Mechanisms ◽  
Scattering Theory ◽  
Multichannel Scattering ◽  
Identical Particles

Application of Multichannel Scattering Theory to Pionic Reactions Within the Lee Model

1981 ◽  
Vol 36 (12) ◽  
pp. 1261-1275
Author(s):  
M. Sawicki ◽  
D. Schütte
Keyword(s):  
Multiple Scattering ◽  
Scattering Theory ◽  
Proton Scattering ◽  
Multichannel Scattering ◽  
Proton Proton ◽  
Deuteron Scattering ◽  
Lee Model ◽  
Pion Absorption ◽  
Elastic Proton ◽  
Transition Amplitudes

Abstract The multichannel scattering theory is applied to the (2,2) sector of the (non-static) Lee model. Rigorous expressions for the transition amplitudes for two-fragments channels are derived. These expressions contain all effects of off-shell renormalization in a complete and consistent way. With suitable identification of the elementary fields of the model the reactions considered correspond to a simplified description of elastic proton-proton and pion-deuteron scattering and to pion absorption on the deuteron. We obtain a two-body equation for the description of the elastic proton-proton scattering and an extension of the two-potential formula for the pion-deuteron scattering, which can be cast into the form of the multiple-scattering series.

Asymptotische Mehrteilchen-Feldoperatoren für phänomenologische Potentiale

1968 ◽  
Vol 23 (11) ◽  
pp. 1834-1840
Author(s):  
Peter Natusch
Keyword(s):  
Hilbert Space ◽  
Angular Momentum ◽  
Scattering Theory ◽  
Time Dependent ◽  
Asymptotic Condition ◽  
Multichannel Scattering ◽  
Theoretical Formulation ◽  
Special Subset ◽  
Dependent Field

In W. Sandhas’ field theoretical formulation1 of the nonrelativistic multichannel scattering theory the existence of asymptotic multiparticle field operators is discussed for phenomenological potentials. For potentials with momentum-dependent terms it is necessary to treat the convergence of time-dependent field operators on a special subset, — dense in the Hilbert space of states; concerning the position-dependency of tensor- and angular momentum-forces it is necessary to make use of a sharpened asymptotic condition.

Semiclassical Limit of Multichannel Scattering Theory

1975 ◽  
Vol 34 (14) ◽  
pp. 849-852 ◽  
Author(s):  
John R. Laing ◽  
Karl F. Freed
Keyword(s):  
Scattering Theory ◽  
Semiclassical Limit ◽  
Multichannel Scattering
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