1987•Physical Review LettersRequires access

Testing nucleon distribution amplitudes: Relations between neutron andN-Δform factors

Carl E. Carlson, M. Gari, N. G. Stefanis

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Abstract

The proton and neutron magnetic form factors, the axial-vector form factor, and the leading N-\ensuremath{\Delta} transition form factor are connected by the nucleon distribution amplitude. If the distribution-amplitude moments obey the QCD sum-rule results, a correlation exists between the neutron magnetic form factor ${G}_{\mathrm{Mn}}$ and the leading N-\ensuremath{\Delta} transition form factor. For existing proposed distribution amplitudes, one or the other of them will be small and the other not. We comment on what available data say.

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What this paper is about

The proton and neutron magnetic form factors, the axial-vector form factor, and the leading N-\ensuremath{\Delta} transition form factor are connected by the nucleon distribution amplitude. If the distribution-amplitude moments obey the QCD sum-rule results, a correlation exists between the neutron magnetic form factor ${G}_{\mathrm{Mn}}$ and the leading N-\ensuremath{\Delta} transition form factor. For existing proposed distribution amplitudes, one or the other of them will be small and the other not. We comment on what available data say.

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Available abstract

The proton and neutron magnetic form factors, the axial-vector form factor, and the leading N-\ensuremath{\Delta} transition form factor are connected by the nucleon distribution amplitude. If the distribution-amplitude moments obey the QCD sum-rule results, a correlation exists between the neutron magnetic form factor ${G}_{\mathrm{Mn}}$ and the leading N-\ensuremath{\Delta} transition form factor. For existing proposed distribution amplitudes, one or the other of them will be small and the other not. We comment on what available data say.

Key concepts: Magnetic form factor, Form factor (electronics), Physics, Nucleon, Amplitude, Distribution (mathematics), Neutron, Particle physics

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