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A theoretical study of Ne3 using hyperspherical coordinates and a slow variable discretization approach
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10.1063/1.3645183
/content/aip/journal/jcp/135/13/10.1063/1.3645183
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/13/10.1063/1.3645183

Figures

Image of FIG. 1.
FIG. 1.

Two-dimensional contour plot of the potential surface at a fixed hyper-radius R = 10a 0 as a function of the hyperangles θ and φ for the Ne3 system. The dotted line indicates the lowest contour line (−50 cm−1) and the dashed line the second lowest contour line (−40 cm−1). The other contour lines correspond to −30, −20, and −10 cm−1.

Image of FIG. 2.
FIG. 2.

Adiabatic hyperspherical potential curves U ν(R) of the Ne3 system for (a) , (b) , (c) , and (d) . In each figure, the 40 lowest potential curves (ν = 0 − 39) are shown.

Image of FIG. 3.
FIG. 3.

Bound state energy levels of Ne3 as functions of the total nuclear orbital angular momentum J and the parity Π.

Image of FIG. 4.
FIG. 4.

Contour plots of the 2D probability density functions for the n = 0 and n = 10 bound states of Ne3() (a) in Rθ-space, (b) in θφ-space, and (c) in Rφ-space. The n = 0 state is indicated by solid lines, the n = 10 state by dashed lines.

Image of FIG. 5.
FIG. 5.

Contour plots of the 2D probability density functions for the n = 0 and n = 10 bound states of Ne3() (a) in Rθ-space, (b) in θφ-space, and (c) in Rφ-space. The n = 0 state is indicated by solid lines, the n = 10 state by dashed lines.

Image of FIG. 6.
FIG. 6.

Contour plots of the 2D probability density functions for the n = 0, n = 10, and n = 20 bound states of Ne3() (a) in Rθ-space, (b) in θφ-space, and (c) in Rφ-space. The n = 0 state is indicated by solid lines, the n = 10 state by dashed lines, and the n = 20 state by dashed-dotted lines.

Tables

Generic image for table
Table I.

Effects of permutation operations on the hyperangles φ, α, β, γ and the Wigner D function.

Generic image for table
Table II.

Energy levels of selected bound states of Ne3 at various levels of approximation. The energies are given in units of cm−1 and are relative to the three-body dissociation threshold.

Generic image for table
Table III.

Bound state energies of Ne3 for and 1±. The energies are given in units of cm−1, and are relative to the three-body dissociation limit. The results using the Morse potential are also included. The present results are compared with those based on the FEM (Ref. 18), DGF (Ref. 17), and Pekeris coordinate (Ref. 4) approaches.

Generic image for table
Table IV.

Bound state energies of Ne3 for and 3±. The energies are given in units of cm−1, and are relative to the three-body dissociation limit. The present results are compared with those based on the FEM (Ref. 18).

Generic image for table
Table V.

Bound state energies of Ne3 for , 5±, and 6±. The energies are given in units of cm−1, and are relative to the three-body dissociation limit.

Generic image for table
Table VI.

Average root-mean-square radii of Ne3 for , 1±, and 2±. The root-mean-square radii are given in units of Bohr radius a 0. The results using the Morse potential are also included. The present results are compared with those based on the FEM (Ref. 18), DGF (Ref. 17), and Pekeris coordinate (Ref. 4) approaches.

Generic image for table
Table VII.

Average root-mean-square radii of Ne3 for . The root-mean-square radii are given in units of Bohr radius a 0.

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/content/aip/journal/jcp/135/13/10.1063/1.3645183
2011-10-06
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A theoretical study of Ne3 using hyperspherical coordinates and a slow variable discretization approach
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/13/10.1063/1.3645183
10.1063/1.3645183
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