Virial coefficients in the presence of an infinite number of bound states and strongly repulsive potentials: application to the Efimov point

Extending some work of Bolle'(1987), the authors construct expressions' for the n-particle cluster coefficients which remedy difficulties associated with the presence of both an infinite number of bound states and strongly repulsive potentials. The validity of these expressions is demonstrated by appealing to the existent theorems for cluster coefficients. A formalism is applied to obtain an expression for b3 at the Efimov point. It was also possible to directly observe the divergence in b3 due to the continuum part of the 3-body resolvent together with the counterterms which render it convergent. 18 refs., 3 figs