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.

27 pages; typos corrected

References in corpus (1)

• Zero modes method and form factors in quantum integrable models

Cited by in corpus (3)

• Why scalar products in the algebraic Bethe ansatz have determinant representation
• Inner products in integrable Richardson-Gaudin models
• Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models