One-pomeron model in vector mesons production
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A pomeron with \( Q^2\) dependent intercept has been introduced to the Regge amplitude. This kind of intercept produces the variation of the vector meson cross section with energy at fixed \( Q^2\) . A coefficient for a single term amplitude is introduced to provide the variation with \( Q^2\) at fixed energy. For the \( \rho\) meson, this coefficient is given by the form of coupling of the exchanged pomeron to the virtual photon-\( \rho\) meson vertex. In the soft region, the model shows a good agreement with the data. In the hard region the model agrees with the data at high energies, but at the lower values of energy the cross section is suppressed due to the threshold energy. For \( \varphi\) and \( j/\psi\) productions, a similar approach to that of the \( \rho\) meson is used but the coefficient in this case is constructed in terms of three parameters. These parameters are fixed by experimental data. A comparison with the data and with the two-pomeron model indicates that the one-pomeron model describes the data as good as the two-pomeron model and involves only three parameters.
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