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

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.

scholarly journals QUANTIZING SL(N) SOLITONS AND THE HECKE ALGEBRA

1993 ◽  
Vol 08 (05) ◽  
pp. 947-981 ◽  
Author(s):  
TIMOTHY HOLLOWOOD
Keyword(s):  
Scattering Theory ◽  
Matrix Theory ◽  
Semiclassical Limit ◽  
Soliton Solutions ◽  
Hecke Algebra ◽  
Quantum Field Theories ◽  
Coupling Constant ◽  
S Matrix ◽  
Restricted Region ◽  
Definition Of

The problem of quantizing a class of two-dimensional integrable quantum field theories is considered. The classical equations of the theory are the complex sl(n) affine Toda equations which admit soliton solutions with real masses. The classical scattering theory of the solitons is developed using Hirota’s solution techniques. A form for the soliton S matrix is proposed based on the constraints of S matrix theory, integrability and the requirement that the semiclassical limit is consistent with the semiclassical WKB quantization of the classical scattering theory. The proposed S matrix is an intertwiner of the quantum group associated to sl(n), where the deformation parameter is a function of the coupling constant. It is further shown that the S matrix describes a nonunitary theory, which reflects the fact that the classical Hamiltonian is complex. The spectrum of the theory is found to consist of the basic solitons, excited (or ‘breathing’) solitons, scalar states (or breathers) and solitons transforming in nonfundamental representations. For some region of coupling constant space only the original solitons are in the spectrum and so the S matrix is complete, in addition arguments are presented which indicate that in a more restricted region the theory is actually unitary. It is also noted that the construction of the S matrix is valid for any representation of the Hecke algebra, allowing the definition of restricted S matrices, which lie in the unitary and complete region.

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
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