Orbital dependent superconductivity in Sr2RuO4

We show that for superconducting Sr2RuO4 any unconventional pairing in the part of the Fermi surface with Ru 4d(xy) orbital character is weakly coupled to that with Ru {4d(xy), 4d(xy)} orbital character. This naturally gives rise to two disparate energy scales in the superconducting state which leads to novel low temperature properties in a variety of thermodynamic and transport properties and which would also account for the large residual density of stares seen in specific heat and nuclear quadrapole resonance measurements.