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Attractive interaction between ions inside a quantum plasma structure

Published online by Cambridge University Press:  30 March 2015

Maxim Dvornikov*
Affiliation:
Physics Faculty, National Research Tomsk State University, 36 Lenin Ave., 634050 Tomsk, RussiaInstitute of Physics, University of São Paulo, CP 66318, CEP 05314-970 São Paulo, SP, BrazilPushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), 142190 Troitsk, Moscow, RussiaNonlinear Physics Centre, Research School of Physics and Engineering, Australian National University, 2601 Canberra, ACT, Australia
*
†Email address for correspondence: maxim.dvornikov@usp.br
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Abstract

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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 (NS).

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 2015