Couplings of vector mesons to tensor mesons and the Pomeron

Abstract

We saturate the matrix elements of the stress tensor between vector-meson states with $f$, ${f}^{\ensuremath{'}}$, and the Pomeron, assuming that the coupling constants go like $\frac{1}{{{m}_{V}}^{2}}$ (${m}_{V}=\mathrm{v}\mathrm{e}\mathrm{c}\mathrm{t}\mathrm{o}\mathrm{r}\ensuremath{-}\mathrm{m}\mathrm{e}\mathrm{s}\mathrm{o}\mathrm{n}\phantom{\rule{0ex}{0ex}}\mathrm{m}\mathrm{a}\mathrm{s}\mathrm{s}$) within the symmetry-group (${\mathrm{SU}}_{3}$, ${\mathrm{SU}}_{4}$, etc.) multiplet apart from the Clebsch-Gordan coefficients. It is found that (i) nonet ${(\mathrm{mass})}^{2}$ formulas are obtained, (ii) vector-meson-nucleon total cross sections are determined, with a $\frac{1}{{{m}_{V}}^{2}}$ dependence, and (iii) tensor-vector-vector couplings are obtained. All of these are in agreement with the experiments.