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Article
Anomalous magnetic moment of the nucleon
Miyazawa’s method of calculation of the anomalous magnetic moment of the nucleon is given a covariant extension by using covariant dispersion relations. In this connection, some attention is paid to the differ...
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Article
Note on the conserved current in the weak interactions
The relation between the lack of renormalization and the conserved current is investigated. Furthermore, it is proved under some conditions that we cannot construct a conserved current for the strangeness-viol...
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Article
Graphical analysis of infrared divergences
By the graphical method, it has been proved that all infrared divergences in the quantum electro-dynamics can be summed up into a simple form, and the result is a generalization of the classical Bloch-Nordsiec...
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Article
Note on possible rare decay modes for elementary particles
Some of the bound-state decay processes of elementary particles, like a neutron decaying into a hydrogen-atom, are investigated. It is found that they may happen in a rate of one to a million, compared to the ...
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Article
The gauge properties of Green’s functions in quantum electrodynamics
Effects of a change of gange on the Green’s functions are studied systematically in quantum electrodynamics and relations between Green’s functions under two different gauges are given.
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Article
Note on divergenceless currents and muon polarization in K μ3 decays
The hypothesis of conserved current in weak interaction is examined for the strangeness non-conserving decays. This hypothesis enables the unambiguous calculation of the longitudinal polarization of a muon in K μ
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Article
Some aspects of particle mixture of strange particles
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Article
An analysis of infrared divergences
A concise and rigorous treatment is given of the infrared divergences of quantum electrodynamics, by using a technique previously developed in connection with ultraviolet renormalization. The result is essenti...
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Article
Lie equations for a lee model
The renormalization in configuration space of a slight generalization of the Lee model is discussed, as an example of general procedures (1) which seem to be applicable also to more general cases than the present...
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Article
Green’s function in some covariant soluble problems
Examples of soluble covariant field theory are given, where there is no scattering but where the Green’s functions are non-trivial. Exact expressions for the Green’s functions are obtained, and in each case th...
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Article
Towards a two-field theory of elementary particles
It is shown why the symmetry principle between the baryon triplet (Λnp) and lepton triplet (μ eν) suggests a two-field theory of elementary particles. One massless spinor field is used to describe the nucleons an...
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Article
Note on the ΔI=1/2 selection rule in the composite model of elementary particles
The Salam-Ward hypothesis concerning the ΔI=1/2 selection rule in weak interactions is examined from the viewpoint of the composite model of elementary particles. In this theory, the non-leptonic weak decays have...
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Article
Complex angular momentum and domain of holomorphy
It is proved that an analyticity domain of the scattering amplitudeA(l, s), which can be obtained by the use of the Mandelstam representation, is the domain of holomorphy, under certain conditions, of an analytic...
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Article
R-invariances of strong and weak interactions
Three alternative formulations of invariance under hypercharge (R) conjugation are considered. Some consequences of the three forms ofR-invariance are presented for weak interactions (both leptonic and nonleptoni...
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Article
Quadratic mass formula inSU 3
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Article
The intermediate boson — unitary triplet or octet
Within the framework of unitary symmetry we discuss two possible versions of a weak intermediate vector boson theory corresponding to a triplet and an octet model, respectively. The former has the advantage th...
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Article
The triality quantum number inSU 3 andU 3 symmetry and its application to weak interactions
— The definition of the triality quantum number in both theSU 3 andU 3 groups is investigated in connection with the problem of fractionally...
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Article
Some consequences of the octet dominance model
Consequences of the octet dominance model based upon the tadpole diagram have been investigated. Especially the decays ω → 2π, K+ → 2π, and the mass difference between K 2 0 ...
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Article
Stress-concentration factors for semielliptical notches in beams under pure bending
Elliptical notches in rectangular beams under pure bending are examined photoelastically. Stress-concentration factors due to a single elliptical notch are obtained for wide ranges of 2a/h andd/h, where 2a, d, an...
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Article
Algebra of currents and a low-energy theorem
By use of a modified Fubini-Furlan technique, it has been shown that a certain commutation relation among spatially integrated currents gives the low-energy Kroll-Ruderman theorem on the photo-production of a ...
