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Accurate ground state wavefunctions for several three-body systems

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Abstract

The angularly correlated basis functions proposed by Gasaneo and Ancarani (Phys Rev, A 77:012705, 2008) are used to construct approximated wavefunctions, satisfying all two-body cusp conditions, for several three-body systems. The focus here is on the study of the following negatively charged hydrogen-like ions:  ∞ H − , 1H − , D − , T −  and Mu − , the negative positronium ion Ps − , and the exotic systems \(e^{-}e^{-}(nm_{e})^{+}\) in which one of the particles is heavier than the other two. Accurate results for the mean of the ground state energy and of other radial quantities are compared with those given in the literature, when available.

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References

  1. Gasaneo, G., Ancarani L.U.: Phys. Rev., A, 77, 012705 (2008)

    Article  ADS  Google Scholar 

  2. Frolov, A.M., Yeremin, A., Yu, J.: Phys. B 22, 1263 (1989)

    Article  Google Scholar 

  3. Frolov, A.M.: Phys. Rev. A 58, 4479 (1998)

    Article  ADS  Google Scholar 

  4. Moumeni, A., Dulieu, O., Le Sech, C.: J. Phys. B 23, L739 (1990)

    Article  ADS  Google Scholar 

  5. Patil, S.H.: J. Phys. B 23, 1 (1990)

    Article  ADS  Google Scholar 

  6. Ancarani, L.U., Rodriguez, K.V., Gasaneo, G.: J. Phys. B 40, 2695 (2007)

    Article  ADS  Google Scholar 

  7. Mitnik, D.M., Miraglia, J.E.: J. Phys. B 38, 3325–3338 (2005)

    Article  ADS  Google Scholar 

  8. Rodriguez, K.V., Gasaneo, G.: J. Phys. B 38, L259 (2005)

    Article  ADS  Google Scholar 

  9. Rodriguez, K.V., Gasaneo, G., Mitnik, D.M.: J. Phys. B 40(19), 3923 (2007)

    Article  ADS  Google Scholar 

  10. Kato, T.: Commun. Pure Appl. Math. 10, 151 (1957)

    Article  MATH  Google Scholar 

  11. Ancarani, L.U., Gasaneo, G.: Phys. Rev., A 75, 032706 (2007)

    Article  ADS  Google Scholar 

  12. Cohen, E.R., Taylor, B.N.: Phys. Today 51(8), 9 (1998)

    Google Scholar 

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Correspondence to K. V. Rodriguez.

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Rodriguez, K.V., Gonzalez, Y.V., Gasaneo, G. et al. Accurate ground state wavefunctions for several three-body systems. Hyperfine Interact 193, 147–151 (2009). https://doi.org/10.1007/s10751-009-9992-x

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