A new quantum scattering approach, linear combination of arrangement channels-scattering wavefunction(LCAC-SW) proposed by Deng and co-workers [Sci. China B 24 (1994) 463] is used to calculate the collinear state-to-state reaction probabilities for the F+H2(0)→HF(υ)+H system on the 6SEC potential energy surface(PES). The calculated results reflect the character of PES accurately (there is a 'shallow hollow' along the reaction coordinate on the 6SEC potential energy surface). They are compared with other theoretical research reported in the literature. It is shown that the LCAC-SW approach is one of the successful quantum scattering methods.