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arXiv:1401.4355 [math-ph]AbstractReferencesReviewsResources

Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case

S. Pakuliak, E. Ragoucy, N. A. Slavnov

Published 2014-01-17Version 1

We study quantum integrable models with $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obtain an explicit representation for them in terms of a sum with respect to partitions of Bethe parameters. This representation generalizes known formula for the scalar products in the models with $GL(3)$-invariant $R$-matrix.

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