We consider the Heisenberg chain of spin 1/2 with a concentration x of
impurity spins S. The thermodynamic Bethe ansatz equations are stated
for this model. The ground-state equations are analyzed as a function
of x and magnetic field. In zero field the ground state is a singlet
for finite x, but non-Fermi-liquid-like for x --> 0. Two energy bands
play a role at T = 0. The Van Hove singularities of the empty bands de
fine two critical fields, H(c1)(x) and H(c2)(x), at which the suscepti
bility diverges. The non-Fermi-liquid behavior as x --> 0 arises from
nonanalyticities as H(c2) vanishes.