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We study the pairing symmetry of the interlayer paired state of compositefermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory,the effect of the long-range Coulomb interaction and the internal Chern-Simonsgauge fluctuation is analyzed with the random-phase approximation beyond theleading order contribution in small momentum expansion, and we observe that theinterlayer paired states with a relative angular momentum $l=+1$ areenergetically favored for filling $\nu=\frac{1}{2}+\frac{1}{2}$ and$\frac{1}{4}+\frac{1}{4}$. The degeneracy between states with $\pm l$ is liftedby the interlayer density-current interaction arising from the interplay of thelong-range Coulomb interaction and the Chern-Simons term in the HLR theory.

Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers