Other Parts Discussed in Thread: UCC28063, UCC28061, UCC28060
The peak inductor current for one boost converter is correctly given by equation 20 in the datasheet.
Equation 37 however, which is the sum of the two inductor currents, is incorrect. Since the two inductor currents are working out of phase, the sum will never be twice the peak inductor current of a single boost converter as given in equation 20. I agree that the sum will be more than the current of a single boost converter when the on-times overlap, but not twice, since they are still out of phase.
Equation 37 is therefore an over design of the current sense resistor.