Time‐independent multichannel scattering theory for charged particles

1974 ◽  
Vol 15 (8) ◽  
pp. 1366-1377 ◽  
Author(s):  
A. G. Gibson ◽  
Colston Chandler
Keyword(s):  
Scattering Theory ◽  
Charged Particles ◽  
Multichannel Scattering

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

Scattering on Magnetic Monopoles

1980 ◽  
Vol 35 (12) ◽  
pp. 1276-1284
Author(s):  
Herbert-Rainer Petry
Keyword(s):  
Line Bundle ◽  
Cross Section ◽  
Scattering Theory ◽  
Charged Particles ◽  
Scattering Matrix ◽  
Magnetic Monopoles ◽  
Wave Functions ◽  
Complex Line ◽  
Complex Line Bundle ◽  
Frame Work

Abstract The time-dependent scattering theory of charged particles on magnetic monopoles is investigated within a mathematical frame-work, which duely pays attention to the fact that the wave-functions of the scattered particles are sections in a non-trivial complex line-bundle. It is found that Möller operators have to be defined in a way which takes into account the peculiar long-range behaviour of the monopole field. Formulas for the scattering matrix and the differential cross-section are derived, and, as a by-product, a momentum space picture for particles, which are described by sections in the underlying complex line-bundle, is presented.

scholarly journals Generalisation of scattering theory to charged particles

2009 ◽  
Vol 185 ◽  
pp. 012017
Author(s):  
A S Kadyrov ◽  
I Bray ◽  
A M Mukhamedzhanov ◽  
A T Stelbovics
Keyword(s):  
Scattering Theory ◽  
Charged Particles
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