On the Application of the Veneziano Amplitude to Electromagnetic Mass Differences of πand K Mesons

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概要

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• Applying the leading Veneziano amplitude to πρ→ηω_8, the product of the coupling constants G_<A2ηπ>G_<A2ρω8> is expressed by 4G_<ηρρ>G_<ω8ρπ. Using this result, the Veneziano amplitudes of πρ→πρ and Kρ→Kω_8 are applied to the calculation of electromagnetic mass difference of π and K mesons under the assumption of the field current identity, SU(3) symmetry, and gauge invariance. The results are quite excellent, namely Δm_π=7.5 MeV and Δm_K=-5.5 MeV. Δm_K can be made negative by a term corresponding to tadpole diagram exchanging A_2 me-son. In terms of the Veneziano model and field algebra, the whole integral is convergent, that is, the high energy behavior is milder by s^<-2> than Harari's argument. Further we determine the coupling constants G_<ωρπ>ap24 MeV^<-1> and the strengths G_s=3.1 and δ=G_s/G_D=0.42 of A_1 decay by assuming Γ_<ρππ>=(5/7)m_π this gives Γ^<A1ρπap85 MeV.

• 理論物理学刊行会の論文
• 1970-03-25

著者

• Minamikawa Toshiyuki

  Department Of Physics Tokyo University Of Mercantile Marine

• Shibasaki Ichiro

  Department Of Physics Tokyo University Of Education

• Watanabe Tsunetoshi

  Department Of Physics Asia University

• Minamikawa Toshiyuki

  Department Of Physics Tokyo University Of Education

• SHIBASAKI Ichiro

  Department of Physics, Tokyo University of Education

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