The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-21 chain is investigated. Numerical calculations shows that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit. Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.
@article{arxiv.1803.09666,
title = {Ground state solutions of inhomogeneous Bethe equations},
author = {S. Belliard and A. Faribault},
journal= {arXiv preprint arXiv:1803.09666},
year = {2018}
}