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We aim to use multi-band imaging from the Phase-3 Verification Data of theJ-PLUS survey to derive accurate photometric redshifts (photo-z) and look forpotential new members in the surroundings of the nearby galaxy clusters A2589(z=0.0414) & A2593 (z=0.0440), using redshift probability distributionfunctions. The ultimate goal is to demonstrate the usefulness of a 12-bandfilter system in the study of large-scale structure in the local universe. Wepresent an optimized pipeline for the estimation of photo-z in clusters ofgalaxies. We tested our photo-z with a sample of 296 spectroscopicallyconfirmed cluster members with a magnitude of <r>= 16.6 and redshift <z>=0.041.The combination of seven narrow and five broadband filters with a typicalphotometric-depth of r<21.5 provides dz/(1+z)=0.01 photo-z estimates. Aprecision of dz/(1+z)=0.005 is obtained for the 177 galaxies brighter thanmagnitude r<17. To foresee the precision beyond the spectroscopic sample, wedesigned a set of simulations in which real cluster galaxies are modeled andreinjected inside the images at different signal-to-noise. A precision ofdz/(1+z)=0.02 and dz/(1+z)=0.03 is expected at <r>= 18-22, respectively.Complementarily, we used SDSS/DR12 data to derive photo-z estimates for thesame galaxy sample, demonstrating that the wavelength-resolution of the J-PLUScan double the precision achieved by SDSS for galaxies with a high S/N. We findas much as 170 new candidates across the entire field. The spatial distributionof these galaxies may suggest an overlap between the systems with no evidenceof a clear filamentary structure connecting the clusters. These preliminaryresults show the potential of J-PLUS data to revisit membership of groups andclusters from nearby galaxies, important for the determination of luminosityand mass functions and environmental studies at the intermediate and low-massregime.

J-PLUS: On the identification of new cluster members in the double galaxy cluster A2589 & A2593 using PDFs