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In the $f_2(1270)-f^\prime_2(1525)$ mixing framework, the isoscalarsinglet-octet mixing angle for 1$^3P_2$ tensor nonet is determined to be thevalue of $27.5^\circ$ and the decays of the two states are investigated.Comparing the predicted results of the decays of the two states with theavailable experimental data, we find that the predicted results are in goodagreement with the experimental data, which shows that the $f_2(1270)$ and$f^\prime_2(1525)$ wave functions don't need other components such as glueballsor the 2 $^3P_2$,3 $^3P_2$,...$q\bar{q}$.Comment: revtex 11 pages, 1 eps figure, one reference added, typo correcte

Properties of the tensor mesonsf2(1270) andf'2(1525)

Properties of the tensor mesonsf₂(1270) andf'₂(1525)