Binding energy and structure of e{sup +}Na
Abstract
We calculate the nonadiabatic binding energy and geometry of the weakly bound state of e{sup +}Na. We use the Peach model potential, which includes both the dipole and an effective quadrupole term in the polarization, to describe the interaction of the electron and positron with the ion core. The effective threebody Schroedinger equation is solved with the finite element method. Because the model potential gives rise to three spurious states, the true ground state of e{sup +}Na is embedded in a dense spectrum of spurious states. We develop a method for extracting the correct ground state for e{sup +}Na, even when the energy is nearly degenerate with a spurious level. The calculated value for the binding energy is consistent with other calculations.
 Authors:
 Department of Physics, College of the Holy Cross, Worcester, Massachusetts 01610 (United States)
 Department of Physics, University of North Texas, Denton, Texas 76203 (United States)
 Publication Date:
 OSTI Identifier:
 21437978
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.064505; (c) 2010 The American Physical Society
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; BINDING ENERGY; BOUND STATE; DIPOLES; ELECTRONS; FINITE ELEMENT METHOD; POLARIZATION; POSITRONS; POTENTIALS; SCHROEDINGER EQUATION; SODIUM; THREEBODY PROBLEM; ALKALI METALS; ANTILEPTONS; ANTIMATTER; ANTIPARTICLES; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ELEMENTS; ENERGY; EQUATIONS; FERMIONS; LEPTONS; MANYBODY PROBLEM; MATHEMATICAL SOLUTIONS; MATTER; METALS; MULTIPOLES; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Citation Formats
Shertzer, J., and Ward, S. J.. Binding energy and structure of e{sup +}Na. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.81.064505.
Shertzer, J., & Ward, S. J.. Binding energy and structure of e{sup +}Na. United States. doi:10.1103/PHYSREVA.81.064505.
Shertzer, J., and Ward, S. J.. Tue .
"Binding energy and structure of e{sup +}Na". United States.
doi:10.1103/PHYSREVA.81.064505.
@article{osti_21437978,
title = {Binding energy and structure of e{sup +}Na},
author = {Shertzer, J. and Ward, S. J.},
abstractNote = {We calculate the nonadiabatic binding energy and geometry of the weakly bound state of e{sup +}Na. We use the Peach model potential, which includes both the dipole and an effective quadrupole term in the polarization, to describe the interaction of the electron and positron with the ion core. The effective threebody Schroedinger equation is solved with the finite element method. Because the model potential gives rise to three spurious states, the true ground state of e{sup +}Na is embedded in a dense spectrum of spurious states. We develop a method for extracting the correct ground state for e{sup +}Na, even when the energy is nearly degenerate with a spurious level. The calculated value for the binding energy is consistent with other calculations.},
doi = {10.1103/PHYSREVA.81.064505},
journal = {Physical Review. A},
number = 6,
volume = 81,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}

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