Inner Symmetry in Baryon Structures and Leptonic Decays

概要

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Under the assumption that the baryon is composed of three subnuclear particles in a nonrelativistic bound state analogous to the nuclear structure, the possible inner symmetries of the baryon structure are discussed by comparing with some characteristic features of the leptonic decays, such as n→p and Λ→p. First, under the charge independence, the characteristic parameters of the neutron β decay are expressed in terms of the nucleon structure constants. By comparing the parameters with experiments, it is concluded that the totally symmetric spin-unitary spin part is dominant in the nucleon structure. This is true in the baryon structures in the SU_3 symmetric case. Under the SU_3 invariance, the following relation between the β decays of neutron and Λ particle is also derived : (G_A/G_V)_<Λ→p>=(1/2)×(G_A/G_V)_<n→p>-1/6≃-0.76, where (G_A/G_V)_<n→p>≃-1.185 is used. The broken SU_3 symmetry is estimated by making use of the existing experiments on the β decay of Λ particle. Fanally the decay rates for various leptonic decays are obtained from the theoretical values, F≃0.55 and D≃0.65, determined by the experimental value of (G_A/G_V)_<n→p> in the SU_3 symmetry case of the present theory. The results are consistent with the experiments.
理論物理学刊行会の論文
1966-03-25