Assuming that the $\eta$-meson interpolating field is approximately given near zero four-momentum squared by the divergence of the eighth axial-vector current ${A_{\mu }}^8$, matrix elements describing $\eta$ scattering on various targets are continued off the mass shell. The amplitudes are of the Veneziano form on the mass shell. Results include ${\alpha }_1\left({m_{\eta }}^2\right)=\frac{1}{2}$, where ${\alpha }_1\mathrm{}\left(t\right)\mathrm{}$ is the degenerate $\varphi$, $f^{\prime }$ Regge trajectory function, quantization of masses analogous to that obtained using similar assumptions for $\pi$ scattering, equality of the $\frac{D}{F}$ ratio of tensor trajectory coupling to baryons, and the $\frac{D}{F}$ ratio of the octet mass-splitting spurion coupling to baryons.

Close

PrevNext

View figure in article