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Asymptotic Normalization Coefficients (ANCs) are fundamental nuclear constants. They determine the amplitude of the tail of the projection of the bound state wave function of a nucleus a onto the two-body channel b+c. ANCs also determine the residue in the poles of the S matrix corresponding to a bound or resonance state. In my talk I will address application of the ANC in nuclear astrophysics. The ANC method is especially powerful for astrophysical reactions proceeding through the subthreshold states. I will present the results obtained using the ANC method for the astrophysical factors corresponding to the slowest reaction 14N(p,g)15O which controls the energy production in the CNO cycle. The reaction rates for this reaction provide limitation on a lower bound of the age of the universe. I will also address the very recent results for the astrophysical factors for 13C(a,n)16O.The Trojan Horse Method (THM) is another powerful indirect technique. It is a unique method which allows to determine the astrophysical factors for reactions with bare nuclei down to zero energy. The THM allows one to determine the electron screening potential which is difficult or impossible to calculate from the microscopic approach. I will address the impact of the off-shell effects and initial and final state interactions on the one extracted from the THM. As a demonstration I will present the latest results for the astrophysical factor for the resonant 15N(p,a)12C reaction determined from the Trojan Horse process 15N(d,an)12C.
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