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arXiv · 1401.4355

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

S. Pakuliak·E. Ragoucy·N. A. Slavnov
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Abstract

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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S. Pakuliak, E. Ragoucy, N. A. Slavnov. 2014-01-17. Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case. https://doi.org/10.1007/s11232-014-0180-z

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