1956Progress of Theoretical PhysicsOpen access

Nucleon Magnetic Moments in Ps-Ps Intermediate Coupling Meson Theory

Akira Kanazawa, Masao Sugawara

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Abstract

Tomonaga intemediate coupling meson theory is applied to the symmetrical ps-ps meson theory, where we have taken account of the nucleon recoil, though non-relativistically, the S-wave mesons, so as to give the pair damping automatically, besides the conventional P-wave mesons. Magnetic moments have been calculated, retaining up to three bound mesons and allowing virtual transitions to some excited atates accompanied by single unbound meson emission. The results turn out to be too small to be consistent with the empirical values for reasonable cut-off momenta and coupling constants. Especially the effect of excited states has been shown to be negligible. Sachs' theorem has been obtained as regards the bound meson contribution.

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Tomonaga intemediate coupling meson theory is applied to the symmetrical ps-ps meson theory, where we have taken account of the nucleon recoil, though non-relativistically, the S-wave mesons, so as to give the pair damping automatically, besides the conventional P-wave mesons. Magnetic moments have been calculated, retaining up to three bound mesons and allowing virtual transitions to some excited atates accompanied by single unbound meson emission. The results turn out to be too small to be consistent with the empirical values for reasonable cut-off momenta and coupling constants. Especially the effect of excited states has been shown to be negligible. Sachs' theorem has been obtained as regards the bound meson contribution.

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Available abstract

Tomonaga intemediate coupling meson theory is applied to the symmetrical ps-ps meson theory, where we have taken account of the nucleon recoil, though non-relativistically, the S-wave mesons, so as to give the pair damping automatically, besides the conventional P-wave mesons. Magnetic moments have been calculated, retaining up to three bound mesons and allowing virtual transitions to some excited atates accompanied by single unbound meson emission. The results turn out to be too small to be consistent with the empirical values for reasonable cut-off momenta and coupling constants. Especially the effect of excited states has been shown to be negligible. Sachs' theorem has been obtained as regards the bound meson contribution.

Key concepts: Physics, Meson, Excited state, Recoil, Nucleon, Coupling constant, Rho meson, Coupling (piping)

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