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Detailed predictions for the day-night (D-N) asymmetry in theenergy-integrated one year signals in the SNO detector in the case of the MSW$\nu_e \to \nu_{\mu(\tau)}$ and/or $\nu_e \to \nu_s$ transition solutions ofthe solar neutrino problem are presented. The asymmetries in the chargedcurrent (CC) and $\nu - e^{-}$ elastic scattering (ES) event rates arecalculated for both MSW solutions; in the case of the $\nu_e \to \nu_s$transition solution the D-N asymmetry in the neutral current (NC) event rateare derived as well. The asymmetries are calculated for three night samples ofevents which are produced by the solar neutrinos crossing i) the Earth mantleonly (Mantle), ii) the Earth core (Core) and iii) the Earth core and/or themantle (Night). The effects of the uncertainties, e.g., in the values of thecross-sections of the CC and NC neutrino-induced reactions on deuterium on thecorresponding D-N asymmetry predictions are analyzed. It is shown, inparticular, that that due to the strong enhancement of the transitions of thesolar neutrinos crossing the Earth core, at $\sin^22\theta_V \leq 0.01$ thecorresponding one year average D-N asymmetry in the Core sample of CC events inthe case of the $\nu_e \to \nu_{\mu(\tau)}$ solution can be larger by a factorof up to $\sim 8$ than the asymmetry in the Night sample. Iso - (D-N) asymmetrycontours in the $\Delta m^2 - \sin^22\theta_V$ plane for the SNO detector arederived in the region $\sin^22\theta_V \gsim 10^{-4}$ for the Core and Nightsamples of the CC, ES and NC events.Comment: 27 pages latex text with 10 tables + 25 ps-files; includes 26  figures; results and conclusions unchanged, typos corrected; few improvements  made, e.g., references to earlier calculations of the D-N effect for the SNO  detector adde

Day-night effect predictions for the SNO detector