Ground state solutions of inhomogeneous Bethe equations
Résumé
The distribution of Bethe roots, solution of the inhomogeneous Betheequations, which characterize the ground state of the periodic XXX Heisenbergspin-$\frac{1}{2}$ chain is investigated. Numerical calculations show that,for this state, the new inhomogeneous term does not contribute to the BaxterT-Q equation in the thermodynamic limit. Different families of Bethe roots areidentified and their large N behaviour are conjectured and validated.