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Two-parametric variation over the aspect ratio of each disk and distancebetween disks gives rise to numerous events of avoided crossing of resonancesof individual disks. For these events the hybridized anti-bonding resonantmodes can acquire a morphology close to the Mie resonant mode with high orbitalmomentum of equivalent sphere. The $Q$ factor of such resonance can exceed the$Q$ factor of isolated disk by two orders in magnitude. We show that dualincoherent counter propagating coaxial Bessel beams with power $1mW/\mu m^2$with frequency resonant to such a anti-bonding modes result in unprecedentedoptical binding forces up to decades of nano Newtons for silicon micron sizedisks. We show also that a magnitude and sign of optical forces strongly dependon the longitudinal wave vector of the Bessel beams.

Giant resonant enhancement of optical binding of dielectric disks