We obtain a generic formula for the distribution of Yang-Lee zeros of one-d
imensional quantum many-body systems solvable by the Bethe ansatz and the Y
ang-Yang thermodynamic formalism. We find that the zeros are located on the
negative real axis of the complex fugacity plane and thus prove that no ph
ase transition occurs in these one-dimensional systems, as proved by others
using different methods. [S1063-651X(99)08101-5].