1954Progress of Theoretical PhysicsOpen access

Mass Spectrum of Elementary Particles, II

H. Enatsu

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Abstract

The considerations of mass spectrum of elementary particles are presneted. First, the eigenvalue problem of the mass of a Dirac particle is discussed; the mass eigenvalues of the Dirac particles which interacts with itself through scalar photon fields are estimated by a method similar to that developed in the case of a deuteron for a Yukawa well. Secondly, the ambiguities which appear in the calculation of the nucleon self-energy caused by scalar mesons with vector coupling are discussed. It is shown that, in spite of the ambiguities, we may assume a fermion (∼2350me) and a scalar cohesive meson (∼1100me) to get convergence of the nucleon self-energy due to π mesons. A brief survey of the model of heavy particles which seems to be qualitatively consistent with the recent experimental results, is also given.

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The considerations of mass spectrum of elementary particles are presneted. First, the eigenvalue problem of the mass of a Dirac particle is discussed; the mass eigenvalues of the Dirac particles which interacts with itself through scalar photon fields are estimated by a method similar to that developed in the case of a deuteron for a Yukawa well. Secondly, the ambiguities which appear in the calculation of the nucleon self-energy caused by scalar mesons with vector coupling are discussed. It is shown that, in spite of the ambiguities, we may assume a fermion (∼2350me) and a scalar cohesive meson (∼1100me) to get convergence of the nucleon self-energy due to π mesons. A brief survey of the model of heavy particles which seems to be qualitatively consistent with the recent experimental results, is also given.

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Available abstract

The considerations of mass spectrum of elementary particles are presneted. First, the eigenvalue problem of the mass of a Dirac particle is discussed; the mass eigenvalues of the Dirac particles which interacts with itself through scalar photon fields are estimated by a method similar to that developed in the case of a deuteron for a Yukawa well. Secondly, the ambiguities which appear in the calculation of the nucleon self-energy caused by scalar mesons with vector coupling are discussed. It is shown that, in spite of the ambiguities, we may assume a fermion (∼2350me) and a scalar cohesive meson (∼1100me) to get convergence of the nucleon self-energy due to π mesons. A brief survey of the model of heavy particles which seems to be qualitatively consistent with the recent experimental results, is also given.

Key concepts: Physics, Yukawa potential, Meson, Scalar (mathematics), Nucleon, Eigenvalues and eigenvectors, Particle physics, Fermion

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