scholarly journals On the Use of the Tomonaga Intermediate Coupling Method in Meson Theory

1950 ◽  
Vol 79 (6) ◽  
pp. 918-925 ◽  
Author(s):  
Kenneth M. Watson ◽  
Edward W. Hart
Keyword(s):  
Coupling Method ◽  
Intermediate Coupling ◽  
Meson Theory

scholarly journals Intermediate Coupling Meson Theory of Nuclear Forces, II

1956 ◽  
Vol 15 (2) ◽  
pp. 137-150 ◽  
Author(s):  
Yukihisa Nogami ◽  
Hiroichi Hasegawa
Keyword(s):  
Nuclear Forces ◽  
Intermediate Coupling ◽  
Meson Theory

Intermediate Coupling Method for Meson-Nucleon Scattering

1954 ◽  
Vol 94 (6) ◽  
pp. 1760-1767 ◽  
Author(s):  
T. D. Lee ◽  
R. Christian
Keyword(s):  
Coupling Method ◽  
Intermediate Coupling ◽  
Nucleon Scattering

The nucleon Green function in pseudoscalar meson theory. II

1955 ◽  
Vol 232 (1190) ◽  
pp. 377-388 ◽  
Keyword(s):  
Green Function ◽  
Pseudoscalar Meson ◽  
Preceding Paper ◽  
Functional Integral ◽  
Coupling Constants ◽  
Intermediate Coupling ◽  
Coupled Equations ◽  
Meson Theory ◽  
Coupling Approach ◽  
The Green Function

Following the formal work of the preceding paper, a method is proposed to evaluate the functional integral which has been derived for the Green function of one nucleon interacting with a pseudoscalar meson field. The method is basically that of stationary phase taken to its second approximation, and since this approximation where applicable is accurate in the limits of strong and weak coupling constants, it is assumed good in general. There are several difficulties involved in the evaluation, and as far as possible these are isolated and discussed with the aid of models each showing one difficulty alone. Combining these separate points, the evaluation of the functional integral is thereby expressed in terms of the solution of a set of coupled equations which provide a basis for a covariant intermediate coupling approach to the problem. The solution of these equations is not attempted in this paper.

The range of validity of strong and weak coupling approaches in field theory

1958 ◽  
Vol 243 (1235) ◽  
pp. 458-463 ◽  
Keyword(s):  
Field Theory ◽  
General Solution ◽  
Stationary Phase ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Scalar Meson ◽  
Functional Integration ◽  
Intermediate Coupling ◽  
Meson Theory ◽  
Weak Limits

The solutions of scalar meson theory with infinitely heavy nucleons are well known in the limits of weak and strong coupling, and also there is the intermediate coupling method of Tomonaga which bridges the gap between them. However, the latter requires special trial functions and a cut-off procedure, so it is interesting to try to construct a method which develops a general solution analytically, particularly in order to answer the following question: When infinite quantities are absorbed by renormalization does the weakness or strongness of the coupling depend upon the renormalized quantities only? In this paper the problem of one nucleon is tackled in the functional integration formalism. It has been shown that this method encompasses both strong and weak limits, and here an attempt will be made to develop a general solution using the method of stationary phase.

Bipolarons in the intermediate coupling method

1997 ◽  
Vol 39 (2) ◽  
pp. 248-249 ◽  
Author(s):  
P. Zh. Baimatov ◽  
D. Ch. Khuzhakulov ◽  
Kh. T. Sharipov
Keyword(s):  
Coupling Method ◽  
Intermediate Coupling

scholarly journals Nucleon Magnetic Moments in Ps-Ps Intermediate Coupling Meson Theory

1956 ◽  
Vol 16 (2) ◽  
pp. 95-111 ◽  
Author(s):  
Akira Kanazawa ◽  
Masao Sugawara
Keyword(s):  
Magnetic Moments ◽  
Intermediate Coupling ◽  
Meson Theory
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