BAXTER EQUATION FOR THE QCD ODDERON

The Hamiltonian derived by Bartels, Kwiecinski and Praszalowicz for the study of high-energy QCD in the generalized logarithmic approximation was found to correspond to the Hamiltonian of an integrable XXX spin chain. We study the odderon Hamiltonian corresponding to three sites by means of the Bethe ansatz approach. We rewrite the Baxter equation, and consequently the Bethe ansatz equations, as a linear triangular system. We derive a new expression for the eigenvectors and the eigenvalues, and discuss the quantization of the conserved quantities.