Attractive interaction between ions inside a quantum plasma structure
arXiv:1311.6875 · doi:10.1017/S0022377815000306
Abstract
We construct the model of a quantum spherically symmetric plasma structure based on radial oscillations of ions. We suppose that ions are involved in ion-acoustic plasma oscillations. We find the exact solution of the Schrödinger equation for an ion moving in the self-consistent oscillatory potential of an ion-acoustic wave. The system of ions is secondly quantized and its ground state is constructed. Then we consider the interaction between ions by the exchange of an acoustic wave. It is shown that this interaction can be attractive. We describe the formation of pairs of ions inside a plasma structure and demonstrate that such a plasmoid can exist in a dense astrophysical medium corresponding to the outer core of a neutron star.
17 pages, two columns, 3 figures, PDF LaTeX; paper was significantly revised, Appendix was shortened, new astrophysical application was discussed; version accepted for publication in J. Plasma Phys