Abstract

We study the $\gamma p \to p f_0$ [$f_0(980)$ and $f_0(1500)$] reaction close to threshold within an effective Lagrangian approach. The production process is described by $s$-channel nucleon pole or $t$-channel $\rho$ and $\omega$ exchange. The $K^0 \bar{K}^0$ invariant mass distributions of the $\gamma p\to f_0(980)p \to K^0 \bar{K}^0$ and $\gamma p\to f_0(1500)p \to K^0 \bar{K}^0 p$ reactions are investigated, where the two kaons have been separated in $S$ wave decaying from $f_0(980)$ and $f_0(1500)$. It is shown that the $s$-channel process is favored for the production of $f_0(980)$, while for the $f_0(1500)$ production, the experimental measurements can be described quite well by the $t$-channel process. It is expected that the theoretical results can be tested by further experiments at CLAS.

Highlights

  • The study of the structure of low-lying scalar mesons is a topic of high interest in hadronic physics and is attracting much attention [1,2]

  • Photoproduction of the f0ð980Þ meson on protons was measured by the CLAS Collaboration in Refs. [15,16] at the photon energy region of Eγ 1⁄4 3.0–3.8 GeV, where f0ð980Þ was detected via its decay in the πþπ− channel by performing a partial wave analysis of the reaction γp → pπþπ−

  • We show in this work how the CLAS measurements could be used to determine the reaction mechanisms of the photoproduction of these scalar mesons

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Summary

INTRODUCTION

The study of the structure of low-lying scalar mesons is a topic of high interest in hadronic physics and is attracting much attention [1,2]. Photoproduction of the f0ð980Þ meson on protons was measured by the CLAS Collaboration in Refs. [20], while the f0ð980Þ and a0ð980Þ photoproduction for photon energies close to the KKproduction threshold was studied in Ref. [22], within a model based on the Regge approach, a theoretical analysis of the data on photoproduction of the f0ð980Þ was done, where it was shown that the radiative decay rate for f0ð980Þ → γV is important in the theoretical predictions. [26] may indicate the dominant s-channel contribution for the f0ð980Þ photoproduction In this respect, we show in this work how the CLAS measurements could be used to determine the reaction mechanisms of the photoproduction of these scalar mesons.

FORMALISM AND INGREDIENTS
Interaction Lagrangian densities and scattering amplitudes
77 Æ 8 79 Æ 8
Differential cross section
NUMERICAL RESULTS AND DISCUSSION
SUMMARY

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