Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session N01: Poster Session II 4pm-6pm CDT
4:00 PM,
Wednesday, June 2, 2021
Abstract: N01.00002 : Variational calculations of the bound-state energy of Ps$_2$*
Presenter:
Sandra J Ward Quintanilla
(University of North Texas)
Authors:
Sandra J Ward Quintanilla
(University of North Texas)
Gabriel Medrano
(University of North Texas)
Peter Van Reeth
(University College London)
that includes all six interparticle distances \cite{[1]}. We considered both electron and positron exchange.
We also computed the bound-state energy of Ps$_2$ using the the same trial functions that Ho used which include only the direct and electron-exchange terms \cite{[2]}.
The energies we obtained using these trial functions are in excellent agreement with Ho's earlier results \cite{[2]}.
Interestingly, we found that a bound-state of the Ps-Ps system is obtained when we considered only the direct term in a highly correlated Hylleraas-type trial function.
\begin{thebibliography}{References}
\bibitem{[1]} Gabriel Medrano, S. J. Ward and P. Van Reeth, {\it in preparation}.
\bibitem{[2]} Y. K. Ho, Phys.~Rev.~A {\bf 33}, 3584 (1986).
\end{thebibliography}
We are thankful for discussions with Drs. G. W. F. Drake and J. W. Humberston.
The North Texas Scientific Computing (NTSC), a division under the office of the CIO at University of North Texas, is acknowledged for providing Talon computational resources.
*$^*$S. J. W. gratefully acknowledges support from the NSF under Grant No. PHYS-1707792.
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