Evaluation of Watson-like integrals for a hyper bcc antiferromagnetic lattice

Watson-like integrals for a d-dimensional bcc antiferromagnetic lattice, and and another two similar integrals, where Delta *h >= 1, are evaluated in an exact way in terms of generalized hypergeometric functions. A simple formula connecting Id and Jd + 1 is given along with the differential equations for Id( Delta *h) and Jd( Delta *h). An application of Id and Jd in the theory of the Heisenberg antiferromagnet is discussed, together with possible generalizations to non-integer values of d. Corresponding integrals for sc lattices are also briefly reviewed.