Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice
Watson-like integrals for a d-dimensional bcc antiferromagnetic lattice I_d(η) and J_d(η) and another two similar integrals 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 I_d(η) and J_d(η). An application of I_d and J_d 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.
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