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The bound state energies and wave functions for a particle exposed to theHulth\'en potential field in the D-dimensional space are obtained within theimproved quantization rule for any arbitrary l state. The present approximationscheme used to deal with the centrifugal term in the effective Hulth\'enpotential is systematic and accurate. The solutions for the three-dimensional(D=3) case and the s-wave (l=0) case are briefly discussed.  Keywords: Hulth\'en potential, improved quantization rule, approximationschemes.  03.65.Ge, 12.39.Jh

Quantization rule solution to the Hulth\'en potential in arbitrary dimension by a new approximate scheme for the centrifugal term