Abstract :
We study the scalar product image between an on-shell and an off-shell Bethe state in models with image-invariance, where ℓ and m denote the cardinalities of the two sets of Bethe roots. We construct recursion relations relating image to scalar products of smaller dimension, namely image and image. Solving these recursion relations we obtain new multiple integral expressions for image, whose integrands are image determinants, and closely related to the Slavnov determinant expression for the image scalar product.
