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The inhomogeneous Schrödinger equation for the off-shell wave function

B. F. IrgazievUzbekistan National University, Tashkent, 700174, UzbekistanA. M. MukhamedzhanovCyclotron Institute, Texas A&M University, College Station, TX, 77843, USAYu. V. OrlovSkobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119991, Russia
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A method has been developed for calculating the off-shell wave function by solving the inhomogeneous Schrödinger equation with allowance for the nuclear and Coulomb interactions. The off-shell wave function makes it possible to construct the off-shell scattering amplitude in order to solve the problems for three or more particles. An important application of the method is the Trojan Horse calculations of nuclear reactions that are important in nuclear astrophysics. Specific calculations are performed for neutron and proton scattering on the 7Be nucleus. The Woods-Saxon potential is used and the spin-orbital interaction is taken into account.

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