The algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov
TL;DR
This paper derives a determinant formula for scalar products of Bethe vectors in SU(3)-invariant integrable models, facilitating the calculation of form factors and correlation functions in these quantum systems.
Contribution
It provides a new determinant representation for scalar products in SU(3) models, advancing the algebraic Bethe ansatz method for these systems.
Findings
Determinant representation for scalar products obtained
Applicable to calculation of form factors and correlation functions
Enhances computational techniques for SU(3)-invariant models
Abstract
We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for particular case of scalar products of Bethe vectors. This representation can be used for the calculation of form factors and correlation functions of XXX SU(3)-invariant Heisenberg chain.
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