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The model of the Abrikosov vortex pinning on a cylindrical defect isproposed. It is shown that in the limit $\varkappa \gg 1$ the potential for thevortex core excitations can be treated in terms of the zero-range potentialsmethod. Using the variational method the estimates for the energy of pinning,the pinning force and the density of critical current defect are obtained.

The vortex pinning on the cylindrical defects and the electronic structure of the vortex core