The impending Javalambre Physics of the accelerating universe Astrophysical Survey ( J-PAS ) will be the first wide-field survey of \gtrsim 8500 deg ^ { 2 } to reach the ‘ stage IV ’ category .
Because of the redshift resolution afforded by 54 narrow-band filters , J-PAS is particularly suitable for cluster detection in the range z < 1 .
The photometric redshift dispersion is estimated to be only \sim 0.003 with few outliers \lesssim 4 % for galaxies brighter than i \sim 23 AB , because of the sensitivity of narrow band imaging to absorption and emission lines .
Here we evaluate the cluster selection function for J-PAS using N-body+semi-analytical realistic mock catalogues .
We optimally detect clusters from this simulation with the Bayesian Cluster Finder , and we assess the completeness and purity of cluster detection against the mock data .
The minimum halo mass threshold we find for detections of galaxy clusters and groups with both > 80 % completeness and purity is M _ { h } \sim 5 \times 10 ^ { 13 } M _ { \odot } up to z \sim 0.7 .
We also model the optical observable , M ^ { * } _ { CL } -halo mass relation , finding a non-evolution with redshift and main scatter of \sigma _ { M ^ { * } _ { CL } |M _ { h } } \sim 0.14 dex down to a factor two lower in mass than other planned broad-band stage IV surveys , at least .
For the M _ { h } \sim 1 \times 10 ^ { 14 } M _ { \odot } Planck mass limit , J-PAS will arrive up to z \sim 0.85 with a \sigma _ { M ^ { * } _ { CL } |M _ { h } } \sim 0.12 dex .
Therefore J-PAS will provide the largest sample of clusters and groups up to z \sim 0.8 with a mass calibration accuracy comparable to X-ray data .