2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51074The review of recent results in the s=1/2 quantum spin chains with $1/\sinh^2(κr$ exchange is presented. Related problems in the theory of classical and quantum Calogero-Sutherland-Moser systems with inverse square hyperbolic and elliptic potentials are discussed. The attention is paid to finding the explicit form of corresponding Bethe-Ansatz equations and to connection with generalized Hubbard chains in one dimension.47 pages LaTex, review paper, to appear in Physics of Particles and NucleiHigh Energy Physics - Theorytext