Chiral super conductors, have a gap function that rotates in cw or ccw direction as wave vector rotates on fermi surface. E.g. $\Delta_{k}=k_{x}\pm ik_{y}$ or $\Delta_{k}\propto exp(il\phi)$ where $\phi$ is angle between $k_{x}$ and $k_{y}$.
we can write orde parameter in more generl form but not the most general form as $\Delta=(d_{0,p}+\mathbf{\mathbf{d_{p}\cdot\mathbf{\mathbf{\tau}}}})i\tau_{2}$, where $\tau$ is pauli matrices in spin basis. And if our order parameter is symmetric matrix we have singlet pairing case, and if we have anti symmetric matrix we have triplet case.
i am not at all sure about this part. But as far as i understand the order paramater is a consequence of interaction, i.e. it depends to the two body attractive potential between electrons. And we can write this potential in terms of angular momentum components i.e. $V_{k-k'}=\sum(2l+1)V_{l}(k,k')P_{l}(\mathbf{\hat{k}\cdot\mathbf{\hat{k}'}})$ where P is legendre polynomials and we sum on l index. But we have some dominant channel where only for some particular $l$ we have dominant contributions. and that $l$ is actually our orbital angular momentum number. and if we have even $l$ then we have singlet case in 2, and if we odd $l$ we an have triplet case. hence we can indeed have a chiral superconductor even in singlet case.
Now my first question is on terminology, when we talk about s wave and p wave superconductors, we talk about $l$ is whether 0 or 1. but when we talk about singlet and triplet pairing we talk about evenness of $l$ and symmetry of $\Delta$. is it true? but for example in d wave pairing we can have chiral spin singlet solution.
And my actual question is, the chirality actually comes from nothing but the interaction potential. In scattering theory as far as i remember we have s wave scattering, p wave scattering ect. When we write Schrodinger equation for scattering we have angular momentum part in the equation, which produces centrifugal barrier for low energy. that's why we have s wave scaterring at low energy. 
so when we have chiral super conductors does it mean that we have some scatering channel for non zero $l$? in other words, when we talk about the orbital angular momentum of cooper pairs is it the $l$ at 15.4?
