In [Phys. Rev. D 110, 103538 (2024)], we attempted to reconstruct the weak lensing convergence map $\widehat{\kappa }$ from cosmic magnification by linearly weighting the DECaLS galaxy overdensities in different magnitude bins of $grz$ photometry bands. The $\widehat{\kappa }$ map is correlated with cosmic shear at $20\sigma$ significance. However, the low galaxy number density in the DECaLS survey prohibits the measurement of $\widehat{\kappa }$ autocorrelation. In this paper, we apply the reconstruction method to the Dark Energy Survey year 3 (DES Y3) galaxies from the DES data release 2. With greater survey depth and higher galaxy number density, convergence-shear cross-correlation signals are detected with $S/N\approx 9$, 16, 20 at $0.4<z_{\kappa }<0.6$, $0.6<z_{\kappa }<0.8$, and $0.8<z_{\kappa }<1.0$, respectively. More remarkably, the $\widehat{\kappa }-\widehat{\kappa }$ correlations of the $0.4<z_{\kappa }<0.6$ and $0.6<z_{\kappa }<0.8$ bins show reasonably good agreement with predictions based on theoretical interpretation of $\widehat{\kappa }-\gamma$ measurement. This result takes a step further toward the cosmological application of our lensing reconstruction method.

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• Cosmology