Populations of solutions of the XXX Bethe equations associated to   Kac-Moody algebras
  We consider the XXX Bethe equation associated with integral dominant weights of a Kac-Moody algebra and introduce a generating procedure constructing new solutions starting from a given one. The family of all solutions constructed from a given one is called a population. We describe properties of populations. 
E. Mukhin and A. Varchenko