Possible Relationship between Arctic Oscillation and the 11-years cycles of solar irradiance

Is the decadal variability associated with the Arctic Oscillation related with the 11-years cycles of solar radiation?
Lean, J. and Rind, D. (Science, 2001) mentioned many mechanisms through which the solar cycles could affect the earth climate. Is it possible that some positive or negative feedbacks could amplify the small variability exerted by solar with a period around 11 years.
Reference: [1]        J. Lean and D. Rind. Earth’s response to a variable sun. Science, 292(5515):234–236, 2001.