Skip to main content
SpringerLink
Log in

Borromean Bound States

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

Abstract.

The Hall-Post inequalities relating N-body to (N − 1)-body energies of quantum bound states are applied to delimit, in the space of coupling constants, the domain of Borromean binding where a composite system is bound while the smaller subsystems are unbound.

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

References

  • M. V. Zhukov B. V. Danilin D. V. Fedorov J. M. Bang I. S. Thompson J. S. Vaagen (1993) Phys. Rep. 231 151 Occurrence Handle10.1016/0370-1573(93)90141-Y Occurrence Handle1993PhR...231..151Z

    Article  ADS  Google Scholar 

  • Efimov, V.: Phys. Lett. 33B, 560 (1970); Sov. J. Nucl. Phys. 12, 581 (1971); Amado, R. N., Noble, R. V.: Phys. Lett. 35B, 25 (1971); Phys. Rev. D5, 1992 (1972); Albeverio, S., Høegh-Krohn, R., Wu, T. T.: Phys. Lett. 83A, 101 (1981); Fedorov, D. V., Jensen, A. S.: Phys. Rev. Lett. 71, 4103 (1993)

  • Thomas, L. H.: Phys. Rev. 47, 903 (1935); Delfino, A., Adhikari, K., Tomio, L., Frederico, T.: Phys. Rev. C46, 471 (1992)

  • Fisher, M. E., Ruelle, D.: J. Math. Phys. 7, 260 (1966); Dyson, F. J., Lenard, A.: J. Math. Phys. 8, 423 (1967); Lévy-Leblond, J.-M.: J. Math. Phys. 10, 806 (1969)

  • S. Nussinov M. A. Lampert (2002) Phys. Rept. 362 193 Occurrence Handle10.1016/S0370-1573(01)00091-6 Occurrence Handle2002PhR...362..193N

    Article  ADS  Google Scholar 

  • R. L. Hall H. R. Post (1967) Proc. Phys. Soc. 90 381 Occurrence Handle10.1088/0370-1328/90/2/309

    Article  Google Scholar 

  • Basdevant, J.-L., Martin, A., Richard, J.-M.: Nucl. Phys. B343, 60 (1990); B343, 69 (1990)

  • Fock, V.: Z. Physik 63, 855 (1930); see, also, Dias de Deus, J., Henriques, A. B., Pulido, J. M. R.: Z. Physik C7, 157 (1981)

  • J.-L. Basdevant A. Martin J.-M. Richard T. T. Wu (1993) Nucl. Phys. B393 111 Occurrence Handle10.1016/0550-3213(93)90240-P Occurrence Handle1993NuPhB.393..111B

    Article  ADS  Google Scholar 

  • A. Benslama A. Metala A. Bachkhaznadji S. R. Zouzou A. Krikeb J.-L. Basdevant J.-M. Richard T. T. Wu (1998) Few-Body Systems 24 24 Occurrence Handle10.1007/s006010050075

    Article  Google Scholar 

  • See, for example, Yang, K., de Liano, M.: Am. J. Phys. 57, 57 (1989); Grosse, H., Martin, A.: Particle Physics and the Schrödinger Equation (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, Vol. 6). Cambridge, UK: Cambridge University Press 1997

  • L. D. Landau E. M. Lifschitz (1977) Quantum Mechanics EditionNumber3 Pergamon Press Oxford, UK

    Google Scholar 

  • J. M. Blatt J. D. Jackson (1949) Phys. Rev. 76 18 Occurrence Handle10.1103/PhysRev.76.18 Occurrence Handle1949PhRv...76...18B

    Article  ADS  Google Scholar 

  • J.-M. Richard S. Fleck (1994) Phys. Rev. Lett. 73 1464 Occurrence Handle10.1103/PhysRevLett.73.1464 Occurrence Handle1994PhRvL..73.1464R

    Article  ADS  Google Scholar 

  • J. Goy J.-M. Richard S. Fleck (1995) Phys. Rev. A52 3511 Occurrence Handle1995PhRvA..52.3511G

    ADS  Google Scholar 

  • S. Moszkowski S. Fleck A. Krikeb L. Theußl J.-M. Richard K. Varga (2000) Phys. Rev. A62 032504 Occurrence Handle2000PhRvA..62c2504M

    ADS  Google Scholar 

  • See, for instance, Armour, E. A. G., Richard, J.-M., Varga, K.: Phys. Rept. 413, 1 (2005), and references therein

  • J.-M. Richard (2003) Phys. Rev. A67 034702 Occurrence Handle2003PhRvA..67c4702R

    ADS  Google Scholar 

  • J. Mitroy (2000) J. Phys. B33 5307 Occurrence Handle2000JPhB...33.5307M

    ADS  Google Scholar 

  • Varga, K., Suzuki, Y.: Phys. Rev. C52, 2882 (1995); Comput. Phys. Commun. 106, 157 (1997)

    Google Scholar 

  • D. Bressanini M. Mella G. Morosi (1997) Phys. Rev. A55 200 Occurrence Handle1997PhRvA..55..200B

    ADS  Google Scholar 

  • Varga, K.: Few-Body Systems Suppl. 10, 11 (1999) (Proc. 16th European Conference on Few-Body Problems in Physics, Autrans, France, June 1998 (Desplanques, B., et al., eds.))

  • Zickendraht, W.: Ann. Phys. (NY) 35, 38 (1965); Levy-Leblond, J.-M., Levy-Nahas, M.: J. Math. Phys. 6, 1571 (1965); Basdevant, J.-L., Martin, A.: J. Math. Phys. 37, 5916 (1996); Juillet, O., Fleck, S., Theußl, L., Richard, J.-M., Varga, K.: Phys. Rev. B63, 07310 (2001); Khare, A., Richard, J.-M.: J. Phys. A34, L447 (2001); Van Neck, D., Dewulf, Y., Waroquier, M.: Phys. Rev. A63, 062107 (2001)

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Physique Subatomique et Cosmologie, Université Joseph Fourier-CNRS-IN2P3, 53 avenue des Martyrs, 38026, Grenoble, France

    J.-M. Richard

Authors
  1. J.-M. Richard
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Richard, JM. Borromean Bound States. Few-Body Systems 38, 79–84 (2006). https://doi.org/10.1007/s00601-005-0148-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-005-0148-5

Keywords

Search

Navigation