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We construct cosmic void catalogues with the DIVE void finder upon SDSS BOSSDR12 and eBOSS DR16 galaxy samples with BAO reconstruction applied, and performa joint BAO analysis using different types of galaxies and the correspondingvoids. The BAO peak is evident for the galaxy-galaxy, galaxy-void, andvoid-void correlation functions of all datasets, including the ones crosscorrelating luminous red galaxy and emission line galaxy samples. Twomulti-tracer BAO fitting schemes are then tested, one combining the galaxy andvoid correlation functions with a weight applied to voids, and the other usinga single BAO dilation parameter for all clustering measurements of differenttracers. Both methods produce consistent results with mock catalogues, and onaverage ~10 per cent improvements of the BAO statistical uncertainties areobserved for all samples, compared to the results from galaxies alone. Bycombining the clustering of galaxies and voids, the uncertainties of BAOmeasurements from the SDSS data are reduced by 5 to 15 per cent, yielding 0.9,0.8, 1.1, 2.3, and 2.9 per cent constraints on the distance $D_{_{\rm V}}(z)$,at effective redshifts of 0.38, 0.51, 0.70, 0.77, and 0.85, respectively. Whencombined with BAO measurements from SDSS MGS, QSO, and Ly$\alpha$ samples, aswell as the BBN results, we obtain $H_0 = 67.58 \pm 0.91\,{\rm km}\,{\rms}^{-1}\,{\rm Mpc}^{-1}$, $\Omega_{\rm m} = 0.290 \pm 0.015$, and$\Omega_\Lambda h^2 = 0.3241 \pm 0.0079$ in the flat-$\Lambda$CDM framework,where the 1$\,\sigma$ uncertainties are around 6, 6, and 17 per cent smallerrespectively, compared to constraints from the corresponding anisotropic BAOmeasurements without voids and LRG-ELG cross correlations.

monthly notices of the royal astronomical society

The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey:  Cosmological implications from multi-tracer BAO analysis with galaxies and  voids