The dependence of absolute values and the relative behavior of a reduced width of Po odd isotopes upon nuclear model wave functions and the radius R0 are investigated, the radius R0 ranging from 8 f to 9.5 f. The results of calculation show that the single configuration wave function and BCS wave function are unsatisfactory, the projected wave function with blocking is better, while the projected wave function without blocking is best. The ratio of the a reduced width of Po211 and the neighboring even A isotope Po210 is insensitive to R0, and is in agreement with the experimental value within ±20%. Compared with experimental data, absolute values of a reduced width and their variation versus mass number A can be satisfactorily described by the projected wave function without blocking, if R0 is taken to be about 8 f.