2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197502One-loop corrections to kink masses in a family of (1+1)-dimensional field theoretical models with two real scalar fields are computed. A generalized DHN formula applicable to potentials with and without reflection is obtained. It is shown how half-bound states arising in the spectrum of the second order fluctuation operator for one-component topological kinks and the vacuum play a central r$\hat{\rm o}$le in the computation of the kink Casimir energy. The issue of whether or not the kink degeneracy exhibited by this family of models at the classical level survives one-loop quantum fluctuations is addressed.29 pages, 6 figures. Minor corrections, references added. To appear in Nucl. Phys. BHigh Energy Physics - Theorytext