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The \(^{\textbf{3}}{} \textit{P}^{{\varvec{o}}}\) States of Exotic Molecular Ions with Exponential-Cosine-Screened Coulomb Potentials

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Abstract

We investigate the bound states, Borromean states and resonant states for the \(^{3}P^{o}\) (\(J=1\)) states of \(pp\mu \), \(dd\mu \) and \(tt\mu \) molecular ions interacting with exponential-cosine-screened Coulomb potential. The bound \(^{3}P^{o}\) state energies are calculated using the Rayleigh–Ritz variational method and the resonance parameters are calculated using the stabilization method. Highly correlated exponential wave functions are used. The bound \(^{3}P^{o}\) state energies, the \(^{3}P^{o}\) resonance parameters (energy and width), along with 1S and 2S threshold energies of the \(p\mu \), \(d\mu \)  and \(t\mu \) atoms are also reported for different shielding parameters. The critical values of the screening parameters for the \(^{3}P^{o}\) states are also reported for which the three-body exotic molecular systems are stable while all the possible fragments are unbound, that is shows windows for Borromean binding.

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Acknowledgements

This work was supported by the Natural Science Foundation of Heilongjiang Province (Grant No. YQ2020A006).

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  1. College of Physical Science and Technology, Heilongjiang University, Harbin, 150080, People’s Republic of China

    Xin Yan Fu & Zishi Jiang

  2. School of Physics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Sabyasachi Kar

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XYF: data curation; formal analysis; investigation; methodology; software; validation; writing—review and editing. ZJ: conceptualization; formal analysis; investigation; methodology; project administration; resources; software; validation; visualization; writing—original draft. SK: conceptualization; formal analysis; investigation; methodology; software; supervision; visualization; writing—review and editing.

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Fu, X.Y., Jiang, Z. & Kar, S. The \(^{\textbf{3}}{} \textit{P}^{{\varvec{o}}}\) States of Exotic Molecular Ions with Exponential-Cosine-Screened Coulomb Potentials. Few-Body Syst 64, 15 (2023). https://doi.org/10.1007/s00601-023-01793-1

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