Slavnov and Gaudin-Korepin formulas for models without U(1) symmetry: the XXX chain on the segment
Abstract
We consider the isotropic spin-12 Heisenberg chain with the most general integrable boundaries. The scalar product between the on-shell Bethe vector and its off-shell dual, obtained by means of the modified algebraic Bethe ansatz, is given by a modified Slavnov formula. The corresponding Gaudin-Korepin formula, i.e., the square of the norm, is also obtained.
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