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• W2016037767 abstract "Abstract An attempt is made to establish an interaction Hamiltonian of baryons, which is symmetric in the three-dimensional charge space called N-space, where electric charge is defined as Qe = N3. In order to describe the strong interaction as well as the weak interaction in the same N-space, we shall forget strangeness and introduce a new quantum number, the κ-charge Qκ, which enables us to classify baryons into the two groups: Q κ = 1 2 + κ 3 = 1 for the nucleons and the Ξ-particles ( κ 3 = 1 2 and Q κ = 0 for the Σ and Λ-particles κ 3 = − 1 2 ). We compare these two groups to proton and neutron in the symmetric meson theory and consider certain processes of strong interaction of the Yukawa type between them. In order to give a Hamiltonian symmetric in κ-space and also in N-space (both of which are assumed to be three-dimensional and orthogonal to each other), we assume the existence of sixteen kinds of mesons which mediate the strong interactions among baryons ( κ 3 = 1, 0, −1, |ℵ| = 1 and κ 3 = 0, |ℵ| = 0 ), to each of which there correspond four values of the electric charge Qe = N3 = 1, 0, −1; 0. It is shown that the kaons correspond to mesons with κ3 = ± 1, the strangeness-two mesons to those with κ 3 = 0 (|ℵ| = 1) and pions to those with κ 3 = 0 (|ℵ| = 0 ). For our Hamiltonian no special symmetry is assumed in the Lorentz space so that the original symmetry in the speculated charge spaces cannot in general be maintained if the diversity of the Dirac-operators and of the intrinsic parities of mesons is to be upheld. As a result we have a new symmetry - “fragile” symmetry, which would unite higher symmetry in the pion-baryon couplings and in the kaon-baryon couplings and also in the D-meson-baryon couplings at the cost of partially violating the original symmetry in κ − N spaces. It is shown that conservation of κ-charge with doubling the number of kaons (K-kaons and L-kaons) allows us to explain the experiments which were previously explained by the strangeness rule. From the κ-charge selection rule we are led to expect the existence of Ξ-hyperfragments which from the strangeness rule alone should decay instantaneously." @default.
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• W2016037767 date "1962-03-01" @default.
• W2016037767 modified "2023-10-02" @default.
• W2016037767 title "Strong interaction of baryons and ℵ-charge" @default.
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• W2016037767 doi "https://doi.org/10.1016/0029-5582(62)90781-2" @default.
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