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A recent model of the irreversible kinetics of ring formation in semiflexible polymers ͓J. Chem. Phys. 116, 399 ͑2002͔͒ is generalized to the case of equilibrium cyclization, for which the rate constants for the forward and backward reaction are finite. The model is based on the diffusion-reaction formalism of Wilemski and Fixman ͓J. Chem. Phys. 60, 866 ͑1974͔͒, and employs a path integral representation of the semiflexible chain ͑within a certain Gaussian approximation͒ to derive an expressiondoi:10.1063/1.1509448 fatcat:pdw7bl7x5fbohgo3ic6i43wjge