scholarly journals Three-body scattering without partial waves

2005 ◽  
Author(s):  
H. Liu
Keyword(s):  
Partial Waves ◽  
Three Body

scholarly journals Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems

2014 ◽  
Vol 23 (10) ◽  
pp. 1450055 ◽  
Author(s):  
Md. Abdul Khan
Keyword(s):  
Nuclear Charge ◽  
Expansion Method ◽  
Bound State ◽  
Hyperspherical Harmonics ◽  
Nuclear Core ◽  
Partial Waves ◽  
Extrapolation Scheme ◽  
Three Body ◽  
S States ◽  
Hyperspherical Harmonics Expansion

In this paper, energies of the low-lying bound S-states (L = 0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical harmonics expansion method (HHEM). The three-body Schrödinger equation is solved assuming purely Coulomb interaction among the binary pairs of the three-body systems X Z+μ-μ- for Z = 1 to 54. Convergence pattern of the energies have been checked with respect to the increasing number of partial waves Λmax. For available computer facilities, calculations are feasible up to Λmax = 28 partial waves, however, calculation for still higher partial waves have been achieved through an appropriate extrapolation scheme. The dependence of bound state energies has been checked against increasing nuclear charge Z and finally, the calculated energies have been compared with the ones of the literature.

scholarly journals Three-Body Scattering Below Breakup Threshold: An Approach Without Using Partial Waves

2000 ◽  
Vol 28 (1) ◽  
pp. 15-34 ◽  
Author(s):  
W. Schadow ◽  
Ch. Elster ◽  
W. Glöckle
Keyword(s):  
Breakup Threshold ◽  
Partial Waves ◽  
Three Body

ON THE THREE-BODY ELECTRON ATTACHMENT TO OXYGEN IN THE PLASMA OF A NON-SELF-MAINTAINED DISCHARGE

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-103-C7-104
Author(s):  
A. N. Vasilieva ◽  
I. A. Grishina ◽  
V. I. Ktitorov ◽  
A. S. Kovalev ◽  
A. T. Rakhimov
Keyword(s):  
Electron Attachment ◽  
Maintained Discharge ◽  
Three Body

Development of the ChIMES Force Field for Reactive Molecular Systems: Carbon Monoxide at Extreme Conditions

2019 ◽  
Author(s):  
Rebecca Lindsey ◽  
Nir Goldman ◽  
Laurence E. Fried ◽  
Sorin Bastea
Keyword(s):  
Carbon Monoxide ◽  
Molecular System ◽  
Interaction Model ◽  
System Size ◽  
Single Atom ◽  
Reactive System ◽  
Extreme Conditions ◽  
Ambient Conditions ◽  
Molecular Systems ◽  
Three Body

<p>The interatomic Chebyshev Interaction Model for Efficient Simulation (ChIMES) is based on linear combinations of Chebyshev polynomials describing explicit two- and three-body interactions. Recently, the ChIMES model has been developed and applied to a molten metallic system of a single atom type (carbon), as well as a non-reactive molecular system of two atom types at ambient conditions (water). Here, we continue application of ChIMES to increasingly complex problems through extension to a reactive system. Specifically, we develop a ChIMES model for carbon monoxide under extreme conditions, with built-in transferability to nearby state points. We demonstrate that the resulting model recovers much of the accuracy of DFT while exhibiting a 10<sup>4</sup>increase in efficiency, linear system size scalability and the ability to overcome the significant system size effects exhibited by DFT.</p>

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