1967•Progress of Theoretical PhysicsOpen access

Current Algebra and Form Factors of the Axial-Vector Current

Akira Sato, Yoshimatsu Yokoo, Junji Takahashi

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Abstract

Sum rules which relate the axial-vector and the induced pseudoscalar form factors of the nucleon to the pion electroproduction amplitude are deried on the basis of the equal-time commutators among axial charges and vector currents. In the approximation retaining only the (3, 3) resonance contribution to the pion electroproduction amplitude, the axial-vector form factor is found to be almost equal to the Dirac form factor and the induced pseudoscalar form factor is dominated by the pion pole term.

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Sum rules which relate the axial-vector and the induced pseudoscalar form factors of the nucleon to the pion electroproduction amplitude are deried on the basis of the equal-time commutators among axial charges and vector currents. In the approximation retaining only the (3, 3) resonance contribution to the pion electroproduction amplitude, the axial-vector form factor is found to be almost equal to the Dirac form factor and the induced pseudoscalar form factor is dominated by the pion pole term.

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Available abstract

Sum rules which relate the axial-vector and the induced pseudoscalar form factors of the nucleon to the pion electroproduction amplitude are deried on the basis of the equal-time commutators among axial charges and vector currents. In the approximation retaining only the (3, 3) resonance contribution to the pion electroproduction amplitude, the axial-vector form factor is found to be almost equal to the Dirac form factor and the induced pseudoscalar form factor is dominated by the pion pole term.

Key concepts: Physics, Pseudoscalar, Form factor (electronics), Pion, Pseudovector, Current algebra, Current (fluid), Amplitude

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