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The Trojan Horse method (THM) is a powerful indirect technique that provides information to determine astrophysical factors for binary rearrangement processes x+ A→ b+ Bat astrophysically relevant energies by measuring the cross section for the Trojan Horse (TH) reaction a+ A→ y+ b+ Bin the quasifree kinematics. The theory of the THM both for direct and resonant binary subreactions is presented based on the few-body approach and Green's function formalism. The off-energy-shell effects and initial and final state interactions have been taken into account. To treat the resonance processes we developed the half-off-energy-shell R matrix approach. Examples are presented to demonstrate how THM works.

The asymptotic normalization coefficient (ANC) for a nuclear system specifies the normalization of the tail of the nuclear overlap function. ANCs may be determined experimentally by measuring peripheral nuclear reactions. They may be used to calculate the astrophysical S-factors for radiative capture reactions at stellar energies and to determine the halo structure of loosely bound nuclei. A brief introduction to ANCs is given and applications to the 7Be(p, γ)8B and 11C(p, γ)12N reactions and the halo structure of 8B are described.

Abstract:: Peripheral transfer reactions can be used to determine asymptotic normalization coefficients (ANCs). These coefficients, which specify the normalization of the tail of the nuclear overlap function, determine S-factors for direct capture reactions at astrophysical energies. A variety of proton transfer reactions involving both stable and radioactive beams have been used to measure ANCs. Tests have demonstrated that ANCs determined from proton transfer reactions can be used to calculate astrophysical direct capture rates to within 9%. The 10B(7Be, 8B)9Be and 14N(7Be, 8B)13C reactions have been used to measure the ANC appropriate for determining the 7Be(p,γ)8B rate, and the 14N(11C, 12N)13C reaction has been used to measure the ANC required to calculate the 11C(p,γ)12N rate.