Skip to main content
SpringerLink
Log in

Optimized Lower Bound for Four-Body Hamiltonians

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract.

Generalizing a method elaborated for three-body systems, we derive a new lower bound on four-body ground-state energies in terms of two-body binding energies in the unequal-mass case. For simple power-law potentials, this bound is compared to variational calculations and is shown to be very close to the exact result. In particular, it gives the exact answer for harmonic interactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Département de Physique Théorique, Institut de Physique, Université de Constantine, Route d'Ain El Bey, 25000 Constantine, Algeria, , , , , , DZ

    A. Benslama, A. Metatla, A. Bachkhaznadji & S. R. Zouzou

  2. Institut de Physique Nucléaire, Université Claude Bernard, CNRS-IN2P3, 43 Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France, , , , , , FR

    A. Krikeb

  3. Division de Physique Théorique, Institut de Physique Nucléaire, Université Paris-Sud, F-91406 Orsay, and Département de Physique, École Polytechnique, F-91128 Palaiseau, France, , , , , , FR

    J.-L. Basdevant

  4. Institut des Sciences Nucléaires, Université Joseph Fourier, CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble Cedex, France, , , , , , FR

    J.-M. Richard

  5. Gordon McKay Laboratory, Harvard University, Cambridge, MA 02138, USA, and CERN, Theory Division, CH-1211 Genève 23, Switzerland, , , , , , CH

    T. T. Wu

Authors
  1. A. Benslama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Metatla
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Bachkhaznadji
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. R. Zouzou
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. Krikeb
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. J.-L. Basdevant
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. J.-M. Richard
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. T. T. Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received November 6, 1997; accepted in final form February 6, 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benslama, A., Metatla, A., Bachkhaznadji, A. et al. Optimized Lower Bound for Four-Body Hamiltonians. Few-Body Systems 24, 39–54 (1998). https://doi.org/10.1007/s006010050075

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s006010050075

Keywords

Search

Navigation