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We calculate directly the interaction energy of the eigenstate with thesingle particle and the single hole for the XXZ-spin chain. We find theconnection of this addition to the energy with the two-particle forwardscattering phase shift function. The results can have applications to thecalculation of the exponents of the threshold singularities in the correlatorsof the XXZ-spin chain.

The interaction energy of the particle-hole pair in the XXZ-spin chain