Binding energy and structure of e{sup +}Na

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.064505· OSTI ID:21437978

Shertzer, J ^[1]; Ward, S J ^[2]

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1. Department of Physics, College of the Holy Cross, Worcester, Massachusetts 01610 (United States)
2. Department of Physics, University of North Texas, Denton, Texas 76203 (United States)

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 three-body 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.

• OSTI ID: 21437978
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.064505; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
BOUND STATE
DIPOLES
ELECTRONS
FINITE ELEMENT METHOD
POLARIZATION
POSITRONS
POTENTIALS
SCHROEDINGER EQUATION
SODIUM
THREE-BODY PROBLEM
ALKALI METALS
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
EQUATIONS
FERMIONS
LEPTONS
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
MATTER
METALS
MULTIPOLES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS