The recombination model is applied to the production of K , ϕ , Λ , and Ω at all p T in central Au+Au collisions. The thermal-shower component of the recombination is found to be important for K and Λ, but only in a minor way for ϕ and Ω in the intermediate to high p T region. The normalization and inverse slope of the thermal partons in the strange sector are determined by fitting the low- p T data. At higher p T the data of K , Λ , ϕ , and Ω in the log scale are all well reproduced in our study that extends the thermal contribution a...