Interaction between a vortex and a columnar defect in the London approximation

We calculate the interaction between a vortex and an insulating cylindrical cavity in a type-II superconductor using the London approximation, thus extending the result in an earlier work by Mkrtchyan and Shmidt (Zh. Éksp. Teor. Fiz. 61, 367 (1971) [Sov. Phys. JETP 34, 195 (1972)]) to an arbitrarily large cavity radius. In the limit of an infinitely large radius our result reduces to the well-known Bean-Livingston formula for the interaction between a vortex and an insulating wall.