Scalar products of Bethe vectors in models with symmetry 2. Determinant representation**Dedicated to the memory of Petr Petrovich Kulish.

Abstract

We study integrable models with symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.