Mass Spectra of Particles and Model of the Strong Interactions
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概要
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Mass formula is introduced which can reproduce the observed pattern of baryons as well as that of mesons. By assuming that particles with spin 0 and 1/2 correspond to the components in the isotopic-spin space (S(U_2)×S(U_2)) as well as in the "hyper-spin" space (R_3 or S(U_2)×S(U_2)) - hyper-spin U is a new vector whose third component is hypercharge -, we arrange baryons into a triplet (N, Λ,Ξ) and a singlet (Σ), and mesons into a triplet (K, η,K^^-) and a singlet (π) in hyper-spin space. Also by assuming that hyper-spin should be independent of isotopic-spin and pattern of particles as components of these two "spins" should be complete, we are led to introduce fictious baryons X^0X^-, Y^+Y^0Y^-, Z^+Z^0, V^0 which are complementary to baryons: pn,Λ,Ξ^0Ξ^-, Σ^+Σ^0Σ^- and fictious mesons L^0L^-, D^+D^0D^-, L^^-^+L^^-^0, π^0′ which are complementary to mesons K^+K^0, η, K^^-^0K^^-^-, π^+π^0π^-, respectively. We formulate the interaction Hamiltonian among baryons and mesons introduced now, which is rotationally invariant in hyper-spin space as well as in isotopic spin space. If the parity of fictious particles is opposite to that of observed particles, the higher symmetry would be violated. The possible effects on the reactions as well as on the mass splitting are briefly discussed.
- 理論物理学刊行会の論文
- 1964-09-25
著者
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