Abstract

We investigate the reaction mechanism of the $\phi$-meson photoproduction off the proton target, i.e., $\gamma p\to\phi p$, up to $\sqrt{s}=2.8$ GeV. For this purpose, we employ an effective Lagrangian approach in the tree-level Born approximation, and we employ various experimental and theoretical inputs. As a theoretical setup, the vectorlike Pomeron ($C=+1$) is taken into account as a parameterized two-gluon exchange contribution. We also consider $f_1(1285)$ axial-vector-meson, ($\pi,\eta$) pseudoscalar-meson, and ($a_0,f_0$) scalar-meson exchanges in the $t$ channel, in addition to the experimentally confirmed nucleon resonances, such as $N^*(2000,5/2^+)$ and $N^*(2300,1/2^+)$, for the direct $\phi$-meson radiations in the $s$ and $u$ channels. We provide numerical results for the total and differential cross sections as well as the spin-density matrices in the Gottfried-Jackson, Adair, and helicity frames. We observe that, together with the universally accepted pomeron contribution, the considered meson and nucleon-resonance contributions play significant roles in reproducing the experimental data for the forward and backward $\phi$-meson scattering-angle regions, respectively, indicating the nontrivial interferences between mesonic and baryonic contributions.

Highlights

  • Φ-meson photoproduction off the proton target, i.e., γ p → φ p, has attracted a lot of interest, especially since the bump structure was observed at very forward-angle regions near the threshold in the experiment of the LEPS Collaboration [1]

  • The green dotted curves stand for the Pomeron contribution

  • We have investigated the φ-meson photoproduction mechanism for the wide-scattering-angle regions, based on the effective Lagrangian approach in the tree-level Born approximation

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Summary

INTRODUCTION

Φ-meson photoproduction off the proton target, i.e., γ p → φ p, has attracted a lot of interest, especially since the bump structure was observed at very forward-angle regions near the threshold in the experiment of the LEPS Collaboration [1]. It is well known that diffractive Pomeron (P ) exchange governs the monotonically increasing high-energy behavior of the cross section, but can√not explain the bump structure near the threshold region s = (2.0– 2.2) GeV. Laboratory [9,10] reported the first abundant data containing both the charged and neutral modes of the φ → KKdecay for the φ-meson photoproduction These high-statistics differential cross sections and data cover the energy rsapnigne-d√enssi=ty(m2.a0t–ri2x.8e)leGmeeVntasn(dSDthMe fEusl)l angular range beyond the very forward angle. By the analysis of the world CLAS data on the φ-meson photoproduction, we can readily test to what extent of energies the Pomeron exchange has its effect on the cross sections and SDMEs. The relative contributions of the AV, PS, and S mesons can be verified. The details of the invariant amplitudes, SDMEs, and three reference frames are given in the Appendixes

THEORETICAL FRAMEWORK
Vectorlike Pomeron exchange
Pseudoscalar- and scalar-meson exchanges
Direct φ-meson radiation term
Nucleon resonances
NUMERICAL RESULTS AND DISCUSSIONS
SUMMARY
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