2000Physical Review COpen access

Pseudovector versus pseudoscalar coupling in kaon photoproduction reexamined

Shian S. Hsiao, Dah‐Yuu Lu, Shin Nan Yang

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Abstract

The question of pseudovector versus pseudoscalar coupling schemes for the kaon-hyperon-nucleon interaction is reexamined for the reaction $\ensuremath{\gamma}\stackrel{\ensuremath{\rightarrow}}{p}{K}^{+}\ensuremath{\Lambda}$ in several isobaric models. These models typically include Born terms, ${K}^{*}$ and ${K}_{1}$ exchanges in the t channel, and a few different combinations of spin-1/2 baryon resonances in the s and u channels. The coupling constants are obtained by fitting to a large data set. We find that both pseudoscalar and pseudovector couplings can allow for a satisfactory description of the present database. The resulting coupling constants, ${g}_{K\ensuremath{\Lambda}N}$ and ${g}_{K\ensuremath{\Sigma}N},$ in the pseudovector coupling scheme are smaller than those predicted using flavor SU(3) symmetry, but consistent with the values obtained in a QCD sum rule calculation.

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The question of pseudovector versus pseudoscalar coupling schemes for the kaon-hyperon-nucleon interaction is reexamined for the reaction $\ensuremath{\gamma}\stackrel{\ensuremath{\rightarrow}}{p}{K}^{+}\ensuremath{\Lambda}$ in several isobaric models. These models typically include Born terms, ${K}^{*}$ and ${K}_{1}$ exchanges in the t channel, and a few different combinations of spin-1/2 baryon resonances in the s and u channels. The coupling constants are obtained by fitting to a large data set. We find that both pseudoscalar and pseudovector couplings can allow for a satisfactory description of the present database. The resulting coupling constants, ${g}_{K\ensuremath{\Lambda}N}$ and ${g}_{K\ensuremath{\Sigma}N},$ in the pseudovector coupling scheme are smaller than those predicted using flavor SU(3) symmetry, but consistent with the values obtained in a QCD sum rule calculation.

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Available abstract

The question of pseudovector versus pseudoscalar coupling schemes for the kaon-hyperon-nucleon interaction is reexamined for the reaction $\ensuremath{\gamma}\stackrel{\ensuremath{\rightarrow}}{p}{K}^{+}\ensuremath{\Lambda}$ in several isobaric models. These models typically include Born terms, ${K}^{*}$ and ${K}_{1}$ exchanges in the t channel, and a few different combinations of spin-1/2 baryon resonances in the s and u channels. The coupling constants are obtained by fitting to a large data set. We find that both pseudoscalar and pseudovector couplings can allow for a satisfactory description of the present database. The resulting coupling constants, ${g}_{K\ensuremath{\Lambda}N}$ and ${g}_{K\ensuremath{\Sigma}N},$ in the pseudovector coupling scheme are smaller than those predicted using flavor SU(3) symmetry, but consistent with the values obtained in a QCD sum rule calculation.

Key concepts: Pseudoscalar, Pseudovector, Coupling (piping), Particle physics, Physics, Vector (molecular biology), Nuclear physics, Biology

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