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A systematic study of the effects of hyperon couplings on hyperonsuperfluidity is conducted by using the relativistic mean field model.Combining the slope of symmetry energy, the hyperon couplings are determined intwo ways -- by the hypernuclear potentials or under the SU(3) symmetry. Ineither way, the hyperon coupling constants cannot be fixed uniquely but varywithin a certain range due to the uncertainties in hypernuclear potentials orthe breaking of SU(6) to SU(3) symmetry. When the coupling constants areconstrained by the hypernuclear potentials, the pairings of $\Lambda$ and$\Xi^{0,-}$ are strong and they each show little variations. The pairing of$\Sigma^-$ is more sensitive to hyperon potentials and the slope of symmetryenergy. Under the SU(3) symmetry, the superfluidity of various hyperons differsignificantly. The dependence of the pairings of $\Lambda$ and $\Xi^{0,-}$ onthe additional parameters of SU(3) symmetry are the opposite to that of themaximum mass of neutron stars on the additional parameters of SU(3) symmetry,while the pairing of $\Sigma^-$ shows a similar trend in general. These resultssuggest that the hyperon superfluidity associated with astrophysical processesis an essential window to probe the physics of neutron star cores, thehyperon-hyperon interactions and the SU(3) symmetry. Compared with otherhyperons, $\Sigma^-$ could serve as a cleaner glass for this purpose.

The hyperon superfluidity and the hyperon couplings in neutron stars within the relativistic mean field model