The spin-3/2 Blume-Capel model is solved on the Bethe lattice using the exa
ct recursion equations. The nature of the variation of the Curie temperatur
e with the ratio of the single-ion anisotropy term to the exchange-coupling
constant is studied and the phase diagrams are constructed on the Bethe la
ttice with the co-ordination numbers q = 3 and 6. A comparison is made with
the results of the other approximation schemes. (C) 2000 Elsevier Science
B.V. All rights reserved.