The network calculation of 26Al nucleosynthesis in 3M⊙ AGB stars and the sensitivity analys- is of nuclear reaction rates have been investigated in this article. After establishing a complete nuclear re-action network from carbon to silicon, combined with the latest nuclear reaction rate data, we have calcu-lated the abundance of 26Al. The results show that 26Al is effectively synthesized in the AGB stars at the beginning, but as the reaction proceeding, 26Al is consumed by a series of nuclear reactions. The MgAl cycle appears in the network of 26Al. We divide the main nuclear reactions in the reaction network into three categories (n,γ), (p,γ) and (α,γ ), and the sensitivity of nuclear reaction rates has been analyzed in detail. We have identified the most influential reactions in each type of nuclear reactions, they are: 25Mg(n,γ)26Mg, 25Mg(p,γ)26Al, 26Mg(p,γ)27Al, 21Ne(p,γ)22Na, 18O( α,γ)22Ne and 22Ne(α,γ)26Mg.Among all the nuclear reactions involved in the present network, 25Mg(p,γ)26Al is the one that has the greatest impact on the yield of 26Al, which deserves the attention of nuclear experimentalists.
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