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We suggest a description of the beam asymmetry in $p \bar p$ and $\Lambda\bar \Lambda$ photoproduction off the proton $\vec\gamma + p \to p \bar p + p$and $\vec\gamma + p \to \Lambda \bar\Lambda + p$, takes into account thecontribution of the scalar mesons $f_0(1370)$, $f_0(1500)$, and $f_0(1710)$.These scalars are considered as mixed states of a glueball and nonstrange andstrange quarkonia in the framework based on the use of effective hadronicLagrangians. Present results can be used to guide the possible search for thisreaction by the GlueX Collaboration at JLab. Also, we did an estimate ofcontribution of heavier scalar meson states $f_0(2020)$, $f_0(2100)$, and$f_0(2200)$.

Role of scalar mesons in the beam asymmetry of $p \bar p$ and $\Lambda \bar \Lambda$ photoproduction at JLab