Yoshio Ohnuki

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)

On quantum mechanics on compact space

Non-relativistic quantum mechanics is formulated on the surface of a four-dimensional sphere (S3). It is shown that a point particle on S3 can automatically carry spin.

Diagonalization of the Particle Mixture Interaction

The diagonalization problem is discussed when there exists a particle mixture interaction. It is shown that the propagators can be diagomalized in such a way that the transformed one has a single pole. Them the connection with the renormalization is discussed. When the propagators have an unstable pole, the diagonalizatiom matrix becomes complex and the asymptotic field corresponding to the stable particle pole camnot be constructed in YangFeldmanns sense. The method is applied in calculating LAMBDA yields N + pi decay. (auth)

GAUGE STRUCTURE ON SD

Gauge structures, emerging in the course of quantization when the configuration space of the system is SD, are completely determined for arbitrary D. For even D, reflecting the non-trivial topology, the gauge potential is that of the generalized BPST instanton configuration. Similar gauge potentials, although topologically trivial, are obtained for odd D>1.

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.

Chapter 4. Quantum Mechanical Approach to the Composite Model of Elementary Particles

The structure of composite particles seem to be intimately connected with the nature of more fundamental dynamical laws which will reveal themselves beyond the limit of applicability of the point model. A general formulism for treating the Sakata model by means of quantum field theory is constructed and several consequences are derived, bearing in mind that the theory applied to the present model would have a physical reliability only in the corresponding- theoretical sense. (W.D.M.)

On the universal Fermi interaction

SummaryIt is shown that, by introducing the interaction in the form of the interaction of Urmaterie, a substance of higher level than elementary particles, the universal Fermi interaction with the combinationf1(S−T+P)+f2(S−A−P), wheref2 andf2 are arbitrary constants, follows uniquely.RiassuntoSi dimostra che, introducendo l’interazione sotto forma di interazione dell’ «Urmaterie», sostanza di livello superiore a quello delle particelle elementari, ne consegue univocamente l’interazione universale di Fermi con la combinazionef1(S−T)+P)+f2(S−A−P), dovef1 ef2 sono costanti arbitrarie.

Symmetry Between Bosons and Fermions

By definition Bosons and Fermions behave quite differently as regards statistics. It is equally true, however, that in some other respects they do behave similarly or even symmetrically. In the present paper we would like to show that such similarity or symmetry can be exhibited most fully when the theory is formulated in a specific manner, i.e. in terms of annihilation and creation operators aj and \( a_j^\dag \) or what will be termed g-numbers.

The Non-leptonic Decays of Hyperons

The non-leptonic decays of hyperons are investigated using the Sakata model and the V-A theory of weak interactions. LAMBDA and SIGMA decays are treated in a unified way. In the latter case, a possibility of interpreting the experimental evidence is given, provided that the structure of SIGMA -hyperon satisfies suitable conditions. (auth)