Abstract:
                                      We calculate the branching ratio of B three-body decay to 
 \rmf_0(500,\;980,\;1\;500,\;1\;790) 
 resonance in perturbative QCD factorization approach with the two-hadron distribution amplitude input parameter. The Flatté and the Breit-Wigner models are adopted to parameterize the time-like scalar form factors. The Sudakov form factors suppress the soft dynamics effectively, and make the perturbative calculation possible. We get the results 
 6.41 \times 10^ - 9 
, 
 1.25 \times 10^ - 7 
, 
 1.92 \times 10^ - 8 
, 
 5.66 \times 10^ - 9 
 respectively. For the decay 
 Br(\rmB^ +  \to \textπ^ + f_0(980)\textπ^ + \textπ^ - )  
, the pQCD prediction agrees very well with currently available experimental upper limits, 
 1.5 \times 10^ - 6 
. Compared with the experimental data, we can see that the calculation including vertex corrections and 
\rms\bar s  
 component contribution are more accurate and reliable than the results before, and the main changes come from the 
 \rms\bar s 
 component contribution.