Neutron Resonances in Few-Body Systems and the EOS of Neutron Star Crust

Abstract

The effective interactions formed by neutron rescattering between the nuclei fixed in nodes of the crystalline lattice of neutron star crusts have been considered. In the case of two-body resonances in neutron-nucleus subsystems new neutron resonances of few-body nature come into existence in the overdense crystal under certain conditions. The energies and widths of new resonances get additional dependence on the lattice parameters. The effective interactions result in nonlinear correction to the equation of state determined by the balance of gravitational, Coulomb and nuclear resonance forces. This leads to resonant oscillations of density in the accordant layers of crusts that are accompanied by oscillations of gamma radiation. The phenomena may clarify some processes connected with few-body neutron resonances in neutron star crusts, that have influence on the microstructure of pulsar impulses. *

Neutron resonances in three-body system in the thermal range

“…For simplicity, we omit indices, take the form: r i = r and r j = r = − r. This approach brings us to the effect related to interference of two close resonance sources which generate additional resonance levels [14,15,16]. New resonance levels occur at specific distances between these sources L = L res , where L = | r − r | = 2r.…”

“…The solutions show the resonance behavior of three body systems. An important feature of such solutions is their resonance dependence on the distance between the heavy particles not only on the energy of the light-mass particle [13,14,15,16].…”