Current-Density-Current-Density Commutators and the Decays of π^0 and ω
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概要
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Several authors have shown that the PCAC and the algebra-of-field commutation relations forbid the decays of π^0 and ω mesons. A model based on phenomenological U(2) xotime U(2) invariant Lagrangian which is consistent with the A_1ρπ and ωρπ systems is proposed. The PCAC holds, while the local U(2) xotime 1(2) gauge invariance breaks down so that the equaltime space-time- and space-space-current-density commutation relations are modified from that of gauge-field-algebra. The unknown constant arising from the new term relevant to ωρπ coupling is fixed by feeding the measured value of the decay π^0→2γ. Then the results obtained for the widths Γ(ω→π^0+γ) and Γ (ω→3π) are in good agreement with experiment. The alternative model which maintains field-current identity but breaks down the PCAC (this is equivalent to the model of Arnowitt et al.) is also investigated and compared with the previous results.
- 理論物理学刊行会の論文
- 1969-12-25
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- Current-Density-Current-Density Commutators and the Decays of π^0 and ω