Skip to main content
SpringerLink
Log in

Tetramers of Two Heavy and Two Light Bosons

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

Abstract

This article considers the bound states of two heavy and two light bosons, when a short-range force attracts the bosons of different mass, and a short-range force repels the light bosons. The existence of such four-body bound states results from the competition between these two forces. For a given strength of the attraction, the critical strength of the repulsion necessary to unbind the four particles is calculated. This study is motivated by the experimental realisation of impurity atoms immersed in an atomic Bose–Einstein condensate, and aims at determining in which regime only one boson contributes to binding two impurities.

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

  1. T. Kraemer, M. Mark, P. Waldburger, J.G. Danzl, C. Chin, B. Engeser, A.D. Lange, K. Pilch, A. Jaakkola, H.C. Nägerl, R. Grimm, Nature 440, 315 (2006). https://doi.org/10.1038/nature04626

    Article  ADS  Google Scholar 

  2. E. Braaten, H.W. Hammer, Ann. Phys. 322(1), 120 (2007). https://doi.org/10.1016/j.aop.2006.10.011. http://www.sciencedirect.com/science/article/pii/S0003491606002387. January Special Issue 2007

  3. F. Ferlaino, R. Grimm, Physics 3, 9 (2010). https://doi.org/10.1103/Physics.3.9

    Article  Google Scholar 

  4. P. Naidon, S. Endo, Rep. Prog. Phys. 80(5), 056001 (2017). http://stacks.iop.org/0034-4885/80/i=5/a=056001

  5. L. Platter, H.W. Hammer, U.G. Meißner, Phys. Rev. A 70, 052101 (2004). https://doi.org/10.1103/PhysRevA.70.052101

    Article  ADS  Google Scholar 

  6. M.T. Yamashita, L. Tomio, A. Delfino, T. Frederico, Europhys. Lett. 75, 555 (2006). http://stacks.iop.org/0295-5075/75/i=4/a=555

  7. H.W. Hammer, L. Platter, Eur. Phys. J. A 32(1), 113 (2007). https://doi.org/10.1140/epja/i2006-10301-8

    Article  ADS  Google Scholar 

  8. J. von Stecher, J.P. D’Incao, C.H. Greene, Nat. Phys. 5(6), 417 (2009). https://doi.org/10.1038/nphys1253

    Article  Google Scholar 

  9. M.R. Hadizadeh, M.T. Yamashita, L. Tomio, A. Delfino, T. Frederico, Phys. Rev. Lett. 107, 135304 (2011). https://doi.org/10.1103/PhysRevLett.107.135304

    Article  ADS  Google Scholar 

  10. A. Deltuva, Phys. Rev. A 85, 042705 (2012). https://doi.org/10.1103/PhysRevA.85.042705

    Article  ADS  Google Scholar 

  11. A. Deltuva, Few-Body Syst. 54(5), 569 (2012). https://doi.org/10.1007/s00601-012-0313-6

    ADS  Google Scholar 

  12. A. Deltuva, Few-Body Syst. 54(7), 1517 (2013). https://doi.org/10.1007/s00601-012-0570-4

    Article  ADS  Google Scholar 

  13. F. Ferlaino, S. Knoop, M. Berninger, W. Harm, J. D’Incao, H.C. Nägerl, R. Grimm, Phys. Rev. Lett. 102, 140401 (2009). https://doi.org/10.1103/PhysRevLett.102.140401

    Article  ADS  Google Scholar 

  14. S.E. Pollack, D. Dries, R.G. Hulet, Science 326(5960), 1683 (2009). https://doi.org/10.1126/science.1182840. http://www.sciencemag.org/content/326/5960/1683.abstract

  15. P. Dyke, S.E. Pollack, R.G. Hulet, Phys. Rev. A 88, 023625 (2013). https://doi.org/10.1103/PhysRevA.88.023625

    Article  ADS  Google Scholar 

  16. Y. Castin, C. Mora, L. Pricoupenko, Phys. Rev. Lett. 105, 223201 (2010). https://doi.org/10.1103/PhysRevLett.105.223201

    Article  ADS  Google Scholar 

  17. Y. Wang, W.B. Laing, J. von Stecher, B.D. Esry, Phys. Rev. Lett. 108, 073201 (2012). https://doi.org/10.1103/PhysRevLett.108.073201

    Article  ADS  Google Scholar 

  18. D. Blume, Y. Yan, Phys. Rev. Lett. 113, 213201 (2014). https://doi.org/10.1103/PhysRevLett.113.213201

    Article  ADS  Google Scholar 

  19. C.H. Schmickler, H.W. Hammer, E. Hiyama, Few-Body Syst. 58(1), 22 (2016). https://doi.org/10.1007/s00601-016-1182-1

    Article  ADS  Google Scholar 

  20. C.H. Schmickler, H.W. Hammer, E. Hiyama, Phys. Rev. A 95, 052710 (2017). https://doi.org/10.1103/PhysRevA.95.052710

    Article  ADS  Google Scholar 

  21. D. Blume, K.M. Daily, Phys. Rev. Lett. 105, 170403 (2010). https://doi.org/10.1103/PhysRevLett.105.170403

    Article  ADS  Google Scholar 

  22. D. Blume, K.M. Daily, Phys. Rev. A 82, 063612 (2010). https://doi.org/10.1103/PhysRevA.82.063612

    Article  ADS  Google Scholar 

  23. D. Blume, Phys. Rev. Lett. 109, 230404 (2012). https://doi.org/10.1103/PhysRevLett.109.230404

    Article  ADS  Google Scholar 

  24. B. Bazak, D.S. Petrov, Phys. Rev. Lett. 118, 083002 (2017). https://doi.org/10.1103/PhysRevLett.118.083002

    Article  ADS  Google Scholar 

  25. P. Naidon, arXiv:1607.04507 (2016)

  26. O. Yakubovsky, Sov. J. Nucl. Phys. 5, 937 (1967)

    Google Scholar 

  27. W. Glöckle, H. Kamada, Nucl. Phys. A 560(1), 541 (1993). https://doi.org/10.1016/0375-9474(93)90113-C. http://www.sciencedirect.com/science/article/pii/037594749390113C

Download references

Author information

Authors and Affiliations

  1. RIKEN, 2-1 Hirosawa, Wako, 351-0198, Japan

    Pascal Naidon

Authors
  1. Pascal Naidon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pascal Naidon.

Additional information

This article belongs to the Topical Collection “Critical Stability of Quantum Few-Body Systems”.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Naidon, P. Tetramers of Two Heavy and Two Light Bosons. Few-Body Syst 59, 64 (2018). https://doi.org/10.1007/s00601-018-1382-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00601-018-1382-y

Search

Navigation