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Using the additional operators coming up at finite temperature, we calculatethe masses and decay constants of the P wave heavy axial-vector \chi_b1 and\chi_c1 quarkonia in the framework of thermal QCD sum rules. In thecalculations, we take into account the perturbative two loop order alpha_scorrections and nonperturbative effects up to the dimension four condensates.It is observed that the masses and decay constants almost remain unchanged withrespect to the variation of the temperature up to T \simeq 100 MeV, howeverafter this point, the decay constants decrease sharply and approachapproximately to zero at critical temperature. The decreasing in values of themasses is also considerable after T \simeq 100 MeV .

Spectrum of the heavy axial vector \chi_b1(1P) and \chi_c1(1P) mesons in thermal QCD