Overbarrier Resonances as Solutions of Set Inhomogeneous Schr\"{o}dinger Equations

Abstract

In the paper the Schr\"odinger equation for quasibound resonance state with complex energy is considered. The system of inhomogeneous differential equations is obtained for the real and imaginary parts of wave function. On the base of known solution of corresponding homogeneous equation, the inhomogeneus system is solved with help of iteration procedure. The single-particle neutron $2p$-state in the Woods - Saxon potential is analyzed for $^{13}C$ nucleus.Comment: 19 pages, 3 figure