A systematic investigation of the rotating N=Z nuclei in the mass A=58-80 region has been performed within the frameworks of the cranked relativistic mean field theory, cranked relativistic Hartree-Bogoliubov theory and cranked Nilsson-Strutinsky approach. Most of the experimental data is well accounted for in the calculations. The present study suggests that there is a strong isovector np-pair field at low spin; the strength of which is defined by the isospin symmetry. At high spin, the isovector pair field is destroyed and the data are well described by the calculations assuming zero pairing. No clear evidence for the existence of the isoscalar t=0 np-pairing has been obtained in the present investigation.

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