2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128359We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and prove that, for each n, the droplet energies converge to a boundary condition independent value in the thermodynamic limit. We rigorously compute an explicit formula for this limiting value using the Bethe ansatz.36 pages, figures included as eps filesMathematical PhysicsStatistical Mechanics82B10; 82B20; 82B23text