 2.1  2.2  2.3  2.4  2.5  2.6  1.5  1.6  1.7  1.8  1.9  2 R GLYPH<j32> SNO R SK normal hierarchy GLYPH<j87>GLYPH<j105>GLYPH<j116>GLYPH<j104>GLYPH<j32>GLYPH<j115>GLYPH<j104>GLYPH<j111>GLYPH<j99>GLYPH<j107> GLYPH<j87>GLYPH<j105>GLYPH<j116>GLYPH<j104>GLYPH<j111>GLYPH<j117>GLYPH<j116>GLYPH<j32>GLYPH<j115>GLYPH<j104>GLYPH<j111>GLYPH<j99>GLYPH<j107>  1. 5  2  2. 5  3  3. 5  4  4. 5  5  1 . 5  2  2. 5  3  3. 5  4  4 . 5  5 inverted hierarchy GLYPH<j87>GLYPH<j105>GLYPH<j116>GLYPH<j104>GLYPH<j32>GLYPH<j115>GLYPH<j104>GLYPH<j111>GLYPH<j99>GLYPH<j107> GLYPH<j87>GLYPH<j105>GLYPH<j116>GLYPH<j104>GLYPH<j111>GLYPH<j117>GLYPH<j116>GLYPH<j32>GLYPH<j115>GLYPH<j104>GLYPH<j111>GLYPH<j99>GLYPH<j107> GLYPH<j82> GLYPH<j83>GLYPH<j75> GLYPH<j82> GLYPH<j83>GLYPH<j78>GLYPH<j79> FIG. 8: Calculated correlation between R$_{SK}$ and R$_{SNO}$ , which are the ratio of the time-integrated events of high-energy neutrinos (20 MeV < E$_{ν}$ < 60 MeV) to those of low-energy neutrinos (5 MeV < E$_{ν}$ < 20 MeV) for the SK and SNO detectors, respectively, for various mixing angles of sin $^{2}$2 θ$_{13}$ = 10 − $^{2}$(red), 10 − $^{3}$(green), 10 − $^{4}$(blue) and 10 − $^{5}$(purple). Left panel is for normal hierarchy, and right panel for inverted hierarchy. Closed and open circles are the calculated results with and without shock wave, respectively, as denoted. Note that the scale of each panel is different, and a closed square in the right panel corresponds to a range in the left panel. 33