(Received June 10, 1963)
The mass formulas for elementary particles and resonance states are presented on the basis of Ouchi-Senba's model of the composite particle and on the analogy of the old quantum theory. They are expressed in the form of difference of two terms as the spectrum series of hydrogen atom. Agreement of the theoretical mass values with the experimental ones is fairly good and becomes almost complete when reasonable quantum defects (-0.12, +0.02, and -0.2) are introduced. The mass formulas are explicitly described for almost all particles and resonance states; µ, π, K, N, Λ, Σ, Ξ, K*, Y*, ω, ρ, η, ζ, and π0′ (≡ABC). We also refer to (K). Fortunately we can reserve enough rooms for unknown particles if we admit considering “series” for mass formula. We can solve the µ-e problem following a suggestion from our mass formula.
For the purpose of explaining those formulas the existence of discrete stationary states of vacuum-cloud is assumed first as shown in paper II. As a second postulate, we take a new principle, E(n)-E(n′) = mc2 in the center-of-gravity system, corresponding to the Bohr frequency rule ν= [E(n)-E(n′)]h in the old quantum theory. Actually the mass quantum number and a constant R = 38.29 Bev play an important role in describing the mass formula. As far as the elementary particles are concerned, we can uniquely determine the exact form of a rule governing the mass quantum number in which the isotopic spin is required to take part.
URL :
http://ptp.ipap.jp/link?PTP/30/896/
DOI : 10.1143/PTP.30.896