Highest coefficient of scalar products in SU(3)-invariant integrable models

Understand

We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz.

• Scalar products of Bethe vectors in such models can be expressed in terms of a bilinear combination of their highest coefficients.
• We obtain various different representations for the highest coefficient in terms of sums over partitions.
• We also obtain multiple integral representations for the highest coefficient.