We consider quantum integrable models solvable by the algebraic Bethe ansatz and possessing $\mathfrak{gl}(2)$-invariant $R$-matrix. We study the models of both periodic boundary conditions and boundary conditions based on reflection algebra. We present a new method to calculate the scalar products based on formula of an action of transfer matrix of a model onto Bethe vector. Using this method we identify some coefficient in the multiple action of the transfer matrix with the scalar product between on-shell and off-shell Bethe vectors. This allows us to find determinant representation of the scalar products in both types of boundary conditions.
On the transfer matrix of the supersymmetric eight-vertex model. I. Periodic boundary conditions
Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
Recurrence relations for off-shell Bethe vectors in trigonometric integrable models
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