1974Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

q2 independence of the FD ratios in matrix elements of the axial-vector currents between baryon octet states

D. Eimerl

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Abstract

The $\frac{F}{D}$ ratios of the pseudovector and pseudoscalar form factors in the matrix elements of the axial-vector currents between baryon octet states are shown to be almost independent of ${q}^{2}$ over a large range in ${q}^{2}$, at least ${q}^{2}<4$ ${\mathrm{GeV}}^{2}$, timelike. Evidence is presented to indicate that this behavior persists to much higher values of ${q}^{2}$. The smoothness of these ratios is related to the pseudoscalar-meson-baryon coupling $\frac{f}{d}$ ratio, independence of ${q}^{2}$ occurring for ${(\frac{f}{d})}^{2}=\frac{5}{9}$.

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What this paper is about

The $\frac{F}{D}$ ratios of the pseudovector and pseudoscalar form factors in the matrix elements of the axial-vector currents between baryon octet states are shown to be almost independent of ${q}^{2}$ over a large range in ${q}^{2}$, at least ${q}^{2}<4$ ${\mathrm{GeV}}^{2}$, timelike. Evidence is presented to indicate that this behavior persists to much higher values of ${q}^{2}$. The smoothness of these ratios is related to the pseudoscalar-meson-baryon coupling $\frac{f}{d}$ ratio, independence of ${q}^{2}$ occurring for ${(\frac{f}{d})}^{2}=\frac{5}{9}$.

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Available abstract

The $\frac{F}{D}$ ratios of the pseudovector and pseudoscalar form factors in the matrix elements of the axial-vector currents between baryon octet states are shown to be almost independent of ${q}^{2}$ over a large range in ${q}^{2}$, at least ${q}^{2}<4$ ${\mathrm{GeV}}^{2}$, timelike. Evidence is presented to indicate that this behavior persists to much higher values of ${q}^{2}$. The smoothness of these ratios is related to the pseudoscalar-meson-baryon coupling $\frac{f}{d}$ ratio, independence of ${q}^{2}$ occurring for ${(\frac{f}{d})}^{2}=\frac{5}{9}$.

Key concepts: Pseudoscalar, Physics, Baryon, Particle physics, Octet, Pseudovector, Coupling (piping), Pseudoscalar meson

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