## Ground state solutions of inhomogeneous Bethe equations

S. Belliard, A. Faribault

SciPost Phys. 4, 030 (2018) · published 15 June 2018

### Abstract

The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-$\frac{1}{2}$ chain is investigated. Numerical calculations show 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.

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