Jul 17 – 22, 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Confined variational calculation of low energy Ps-Li+ scattering

Not scheduled
1h 30m
Abstract of recent or ongoing work (by remote / virtual participant) Atomic, molecular, and charged-particle collisions Abstracts by remote participants


Interactions of positron and positronium (Ps) with atoms and ions have been extensively studied in recent years, with great attention being paid to the formation of weakly bound states of positronic complexes [1,2], the collision and electron-positron annihilation processes [3]. However, accurate $\textit{ab initio}$ description of these systems is challenging due to the complicated short-range correlations among particles. Utilizing the gradient-based optimization method [4,5] and the stochastic variational method (SVM) [6,7] with $4200$ explicit correlated Gaussian (ECG) basis functions, we obtained the nonrelativistic energy $-7.53241063$ hartree for the ground state of Ps-Li${}^+$(${}^1S$), which has improved the previous value $-7.53241048$ hartree obtained by Bubin et al. [1] with $3000$ ECGs. This improvement demonstrated that our program of the gradient-based optimization of ECGs’ nonlinear parameters is correct and efficient. Therefore, the low energy Ps-Li${}^+$ elastic scattering is studied with the confined variational method (CVM) developed by Mitroy et al. [8,9] and the gradient-based optimization method.

[1]S. Bubin and Oleg V. Prezhdo, Phys. Rev. Lett. $\textbf{111}$, 193401 (2013).
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[3]A. S. Kadyrov and I. Bray, J. Phys. B: At. Mol. Opt. Phys. $\textbf{49}$, 222002 (2016).
[4]S. Bubin and L. Adamowicz, J. Chem. Phys. $\textbf{124}$, 224317 (2006).
[5]S. Bubin, and L. Adamowicz, J. Chem. Phys. $\textbf{128}$, 114107 (2008).
[6]J. Mitroy, Phys. Rev. A $\textbf{70}$, 024502 (2004).
[7]K. Varga, Y. Suzuki , Phys. Rev. C $\textbf{52}$, 2885 (1995).
[8]J. Mitroy, J. Y. Zhang, and K. Varga, Phys. Rev. Lett. $\textbf{101}$, 123201 (2008).
[9]J. Y. Zhang, J. Mitroy, and K. Varga, Phys. Rev. A $\textbf{78}$, 042705 (2008).

Presenter name Deng-xin Zhao
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Primary authors

Deng-xin Zhao (State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China) Jun-Yi Zhang (Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences, Wuhan, China)

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