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In this work, we consider the canonical charmonium assignments for Y(4360) and Y(4660). Y(4660) is good candidate of state, the possibility of Y(4360) as a state is studied, and the charmonium hybrid interpretation of Y(4360) can not be excluded completely. We evaluate the leptonic widths, E1 transitions, M1 transitions and the open flavor strong decays of Y(4360) and Y(4660). Experimental tests for the charmonium assignments are suggested.

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