J. Caro, EVALUATION OF SOME 3-BODY VARIATIONAL INTEGRALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 6781-6786
Stable recurrence relations are presented for the numerical computatio
n of the Calais-Lowdin integrals integral dr(1)dr(2)r(1)(l-1)r(2)(m-1)
r(12)(n-1)exp{-alpha r(1)-beta r(2)-gamma r(12)} (where l, m, and n an
integers, and alpha, beta, and gamma are real) when the indices l, m,
or n are negative. Useful formulas are given for particular values of
the parameters alpha, beta, and gamma. [S1063-651X(98)03111-0].