  This work presents our theoretical study of the dissociative recombination
(DR) of the closed-shell diatomic system CF$^+$ based on an approach recently
applied to the CH$^+$ molecule. Our extended treatment uses the UK R-matrix
theory and the multichannel quantum-defect theory procedure to uniformly
resolve the direct and indirect mechanisms of DR while bypassing explicit
dissociative state and electronic coupling calculations. The theoretical
results exhibit good overall agreement with previous experimental measurements.
At lower scattering energies, good agreement is found only if the rotational
structure of the ion is included and the theoretical cross sections are
averaged over initial rotational levels corresponding to the temperature at
which the experimental measurements were made. At higher scattering energies,
our rotationally resolved results are very similar to those obtained without
including the ion's rotational structure.
