Abstract
An analytic wavefunction is proposed for the ground state of general atomic three-body systems in which two light particles are negatively charged and the third (heavy) is positively charged. By construction the wavefunction (i) has the same analytical form for all systems; (ii) is parameter-free; (iii) is nodeless; (iv) satisfies all two-particle cusp conditions; and (v) yields reasonable ground state energies for several three-body systems, including the prediction of a bound state for H− , D− , T− and Mu− . Simple polynomial fits are provided for certain important subcases, allowing for a rapid estimate of the ground state energy and of the stability of three-body systems.
Similar content being viewed by others
References
Ancarani, L.U., Rodriguez, K.V., Gasaneo, G.: J. Phys. B 40, 2695 (2007)
Kato, T.: Commun. Pure Appl. Math. 10, 151 (1957)
Suric, T., Drukarev, E.G., Pratt, R.H.: Phys. Rev. A 67, 22709 (2003)
Otranto, S., Garibotti, C.R.: Eur. Phys. J. D 27, 215 (2003)
Jones, S., Madison, D.H.: Phys. Rev. Lett. 91, 073201 (2003)
Ancarani, L.U., Gasaneo, G.: J. Phys. B 41, 105001 (2008)
Frolov, A.M.: Phys. Rev. A 61, 22509 (2000)
Drake, G.W.F.: Springer Handbook of Atomic, Molecular, and Optical Physics. Springer, New York (2005)
Armour, E.A.G., Richard, J.-M., Varga, K.: Phys. Rep. 413, 1 (2005)
Sergeev, A.V., Kais, S.: J. Quant. Chem. 75, 533 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ancarani, L.U., Gasaneo, G. An analytic and parameter-free wavefunction for studying the stability of three-body systems. Hyperfine Interact 193, 135–139 (2009). https://doi.org/10.1007/s10751-009-0053-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10751-009-0053-2