Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation

Abstract

We study quantum integrable GL(3)-based models with a trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. We derive a determinant representation for a special case of scalar products of Bethe vectors. This representation allows one to find a determinant formula for the form factor of one of the monodromy matrix entries. We also point out essential difference between form factors in the models with the trigonometric R-matrix and their analogs in GL(3)-invariant models.

arXiv comment27 pages; typos corrected

References in corpus (7)

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• Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
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• Nested Algebraic Bethe Ansatz in integrable models: recent results
• Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models