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Luminosities of muon-proton and muon-nucleus collisions at a recentlyproposed muon-ion collider (MuIC) at Brookhaven National Laboratory (BNL) inthe USA have been estimated using A Luminosity Optimizer for High EnergyPhysics (AloHEP) software keeping in mind beam-beam tune-shift values. It isshown that L$_{\mu p}$ = 3.6x10$^{31}$ cm$^{-2}$s$^{-1}$ and L$_{\mu{\rm -Au}}$= 2.84x10$^{27}$ cm$^{-2}$s$^{-1}$ values can be achieved at MuIC. The physicssearch potential of the collider is superior to HERA. However, LHeC willprovide 2 orders of higher luminosities at approximately same center-of-mass(CoM) energies.

Comment on $\mu p$ and $\mu A$ Luminosities of Muon-Ion Collider at BNL