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We calculate the self-energy and self-force for an electrically chargedparticle at rest in the background of Gott-Hiscock cosmic string space-time. Wefound the general expression for the self-energy which is expressed in terms ofthe $S$ matrix of the scattering problem. The self-energy continuously fallsdown outward from the string's center with maximum at the origin of the string.The self-force is repulsive for an arbitrary position of the particle. It tendsto zero in the string's center and also far from the string and it has amaximum value at the string's surface. The plots of the numerical calculationsof the self-energy and self-force are shown.Comment: 15 pages, 4 Postscript figures, ReVTe

Self-energy and self-force in the space-time of a thick cosmic string