  We present a method to identify likely visual binaries in Gaia eDR3 that does
not rely on parallax or proper motion. This method utilizes the various PSF
sizes of 2MASS/Gaia, where at $<2.5$" two stars may be unresolved in 2MASS but
resolved by Gaia. Due to this, if close neighbors listed in Gaia are a resolved
pair, the associated 2MASS source will have a predictable excess in the J-band
that depends on the $\Delta G$ of the pair. We demonstrate that the expected
relationship between 2MASS excess and $\Delta G$ differs for chance alignments,
as compared to true binary systems, when parameters like magnitude and location
on the sky are also considered. Using these multidimensional distributions, we
compute the likelihood of a close pair of stars to be a chance alignment,
resulting in a total(clean) catalog of 68,725(50,230) likely binaries within
200 pc with a completeness rate of $\sim75\%$($\sim64\%$) and contamination
rate of $\sim14\%$($\sim0.4\%$). Within this, we find 590 previously
unidentified binaries from Gaia eDR3 with projected physical separations $<30$
AU, where 138 systems were previously identified, and for $s<10$ AU we find
that 4 out of 15 new likely binaries have not yet been observed with
high-resolution imaging. We also demonstrate the potential of our catalog to
determine physical separation distributions and binary fraction estimates, from
this increase in low separation binaries. Overall, this catalog provides a good
complement for the study of local binary populations by probing smaller
physical separations and mass ratios, and provides prime targets for speckle
monitoring.
