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Bound state excitations of the spin 1/2-XYZ model are considered inside theBethe Ansatz framework by exploiting the equivalent Non-Linear IntegralEquations. Of course, these bound states go to the sine-Gordon breathers in thesuitable limit and therefore the scattering factors between them are explicitlycomputed by inspecting the corresponding Non-Linear Integral Equations. As aconsequence, abstracting from the physical model the Zamolodchikov-Faddeevalgebra of two $n$-th elliptic breathers defines a tower of $n$-order DeformedVirasoro Algebras, reproducing the $n=1$ case the usual well-known algebra ofShiraishi-Kubo-Awata-Odake \cite{SKAO}.Comment: Latex version, 13 page

The Elliptic Scattering Theory of the 1/2-XYZ and Higher Order Deformed Virasoro Algebras