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The results of LO {\it Fixed point} QCD (FP-QCD) analysis of the CCFR datafor the nucleon structure function $~xF_3(x,Q^2)~$ are presented. Thepredictions of FP-QCD, in which the Callan-Symanzik $~\beta~$ function admits a{\it second order} ultraviolet zero at $~\alpha = \alpha_0~$ are in goodagreement with the data. Constraints for the possible values of the $~\beta~$function parameter $~b~$ regulating how fast $~\alpha_ s(Q^2)~$ tends to itsasymptotic value $~\alpha_{0}\ne 0~$ are found from the data. The correspondingvalues of $~\alpha_{0}~$ are also determined. Having in mind our recent " Firstorder fixed point" QCD fit to the same data we conclude that in spite of thehigh precision and the large $~(x,Q^2)~$ kinematic range of the CCFR data theycannot discriminate between QCD and FP-QCD predictions for $~xF_3(x,Q^2)~$.Comment: 8 pages, LaTe

CONSTRAINTS ON “SECOND-ORDER FIXED POINT” QCD FROM THE CCFR DATA ON DEEP INELASTIC NEUTRINO-NUCLEON SCATTERING