Mineo Ikeda

A Possible Symmetry in Sakata's Model for Bosons-Baryons System. III

In the full symmetry theory a physical system can be characterized by six quantum numbers. Following the original intention of the composite model, an attempt is made to replace these quantum numbers by others that are easier to understand by intuition. This study leads to a new picture of the particle, which contrasts with the usual picture in the perturbation theoretical treatment. The realistic aspects developed not only promote a deeper understanding of the full symmetry theory of the composite model, but also throw a new light on the structure of elementary particles. (auth)

Chapter 2. The Full Symmetry Theory of the Sakata Model

A possible symmetry among the basic particles in the Sakata model is studied. A theory is developed which incorporates such a symmetry in a satisfactory way. Theoretical predictions are compared with experimental information. Some speculations are also made for further progress.

On Boundary Conditions in the Non-Symmetric Unified Field Theory

We study boundary conditions in the non-symmetric unified field theory from the covariant point of view. The covariant ezpteBBion of spatial infinity is obtained by generalizing the one ordinarily ·used in physics. We propose a new boundary condition, wh1ch 1s covariant for arlntrary coordinate transformations and reduces in a specw case to the ordinary condition in general relativity. We compare the newly-proposed condition With the non-covanant one wruch has been employed by many authors. For the static solutions of the field equations 1D the electnc or magnetic case, the new condition is shown to be equivalent to those which we proposed previously by USing the scalar potentials.

ON STRONG INTERACTION SYMMETRIES BASED ON SIMPLE LIE GROUPS

Mathemntical restrictions to a theoretical framework of supermultiplets and isomultiplets, and the identification of the multiplet members, are discussed for strong interaction symmetries based on Lie groups. (R.E.U.)

On Einstein's Relativistic Theory of the Non-Symmetric Field

We propose a new formulation of Einsteins relativistic theory of the non-symmetric field. Here the field quantities are different in transformation character from the corresponding quantities in his formalism. The transposition invariance is no more a postulate but a consequence of the theory. The field equations derived from the variational principle coincide formally with those obtained by Einstein and Straus.