Neutron Resonances in Systems of Few Nuclei and Their Possible Role in Radiation of Overdense Stars

Exact analytical solutions of three- and four-body systems made of one light particle and other heavy particles have been obtained in the model of Born–Oppenheimer approximation with two-body separable interactions. In the case of neutron scattering on a subsystem of few fixed nuclei the appearance of new resonance quantum states has been shown as well as their dependence on distances between heavy nuclei. The applications of new phenomena to overdense stars radiation are considered.