Skip to main content
Log in

The Properties of the Symmetric and Asymmetric Helium Three-Atomic Systems

  • Published:
Physics of Particles and Nuclei Aims and scope Submit manuscript

Abstract

The spectrum of the 4He3 and 3He4He2 trimers are studied using the Faddeev differential equations with different realistic potentials. The influence assessment of a modern potential models on the binding energies of these systems is studied.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. V. N. Efimov, “Weakly bound states of three resonantly-interacting particles,” Sov. J. Nucl. Phys. 12, 589–595 (1971).

    Google Scholar 

  2. V. N. Efimov. “Energy levels arising from resonant two-body forces in a three-body system,” Phys. Lett. B 33, 563–564 (1970). https://doi.org/10.1016/0370-2693(70)90349-7

  3. E. A. Kolganova, A. K. Motovilov, and W. Sandhas, “The 4He trimer as an Efimov system,” Few-Body Syst. 51, 249–257 (2011). https://doi.org/10.1007/s00601-011-0233-x

    Article  ADS  Google Scholar 

  4. E. A. Kolganova, A. K. Motovilov, and W. Sandhas, “The 4He trimer as an Efimov system: Latest developments,” Few-Body Syst. 58, 35–38 (2017). https://doi.org/10.1007/s00601-016-1181-2

    Article  ADS  Google Scholar 

  5. M. Kunitski, S. Zeller, J. Voigtsberger, A. Kalinin, L. Ph. H. Schmidt, M. Schöffler, A. Czasch, W. Schöllkopf, R. E. Grisenti, T. Jahnke, D. Blume, and R. Dörner, “Observation of the Efimov state of the helium trimer,” Science 348, 551 –555 (2015). https://doi.org/10.1126/science.aaa5601

    Article  ADS  Google Scholar 

  6. S. Zeller, M. Kunitski, J. Voigtsberger, A. Kalinin, A. Schottelius, C. Schober, M. Waitz, H. Sann, A. Hartung, T. Bauer, et al., “Imaging the He2 quantum halo state using a free electron laser,” Proc. Nat. Acad. Sci. 113, 14651–14655 (2016). https://doi.org/10.1073/pnas.1610688113

    Article  ADS  Google Scholar 

  7. P. Naidon and Sh. Endo, “Efimov physics: A review,” Rep. Prog. Phys. 80, 056001 (2017)

    Article  ADS  Google Scholar 

  8. S. P. Merkuriev and L. D. Faddeev, Quantum Scattering Theory for Several Particle Systems (Nauka, Moscow, 1985; Kluwer Acad. Publ., Dordrecht, 1993).

  9. E. A. Kolganova, A. K. Motovilov, and S. A. Sofianos, “Three-body configuration space calculations with hard-core potentials,” J. Phys. B: At. Mol. Phys. 31, 1279 (1998).

    Article  ADS  Google Scholar 

  10. M. Przybytek, W. Cencek, J. Komasa, G. Lach, B. Jeziorski, and K. Szalewicz, “Relativistic and quantum electrodynamics effects in the helium pair potential,” Phys. Rev. Lett. 104, 183003–4 (2010).

    Article  ADS  Google Scholar 

  11. M. Przybytek, W. Cencek, B. Jeziorski, and K. Szalewicz, “Pair potential with submillikelvin uncertainties and nonadiabatic treatment of the halo state of the helium dimer,” Phys. Rev. Lett. 119, 123401–6 (2017).

    Article  ADS  Google Scholar 

  12. R. A. Aziz, F. R. W. McCourt, and C. C. K. Wong, “A new determination of the ground state interatomic potential for He2,” Mol. Phys. 61, 1487–1511 (1987).

    Article  ADS  Google Scholar 

  13. R. A. Aziz and M. J. Slaman, “An examination of ab initio results for helium potential energy curve,” J. Chem. Phys. 94, 8047–8053 (1991).

    Article  ADS  Google Scholar 

  14. A. K. Motovilov, W. Sandhas, S.A. Sofianos, and E. A. Kolganova, “Binding energies and scattering observables in the 4He3 atomic system,” Eur. Phys. J. D 13, 33–34 (2001).

    Article  ADS  Google Scholar 

  15. A. K. Motovilov, W. Sandhas, S. A. Sofianos, and E. A. Kolganova, “Ultracold collisions in the system of three helium atoms,” Phys. Part. Nucl. 40, 206–235 (2009).

    Article  Google Scholar 

  16. A. A. Kvitsinsky, V. V. Kostrykin, and S. P. Merkuriev, “Faddeev approach to the three-body problem in total-angular-momentum representation,” Few-Body Syst. 6, 97–113 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  17. V. Roudnev and M. Cavagnero, “Benchmark helium dimer and trimer calculations with a public few-body code,” J. Phys. B: At. Mol. Phys. 45, 025101 (2012).

    Article  ADS  Google Scholar 

  18. I. Mills, T. Cvitaŝ, K. Homann, N. Kallay, and K. Kuchitsu, Quantities, Units and Symbols in Physical Chemistry, 2nd ed. (Blackwell Science, Oxford, 1993).

    Google Scholar 

  19. R. Grisenti, W. Schöllkopf, J. P. Toennies, et al., “Determination of the bond length and binding energy of the helium dimer by diffraction from a transmission grating,” Phys. Rev. Lett. 85, 2284 (2000).

    Article  ADS  Google Scholar 

  20. W. Cencek, M. Przybytek, J. Komasa, et al., “Effects of adiabatic, relativistic, and quantum electrodynamics interactions on the pair potential and thermophysical properties of helium,” J. Chem. Phys. 136, 224303 (2012).

    Article  ADS  Google Scholar 

  21. V. A. Roudnev and S. L. Yakovlev, “Investigation of 4He3 trimer on the base of Faddeev equations in configuration space,” Chem. Phys. Lett. 328, 97–106 (2000).

    Article  ADS  Google Scholar 

  22. P. Stipanović, L. V. Markić, and J. Boronat, “Elusive structure of helium trimers,” J. Phys. B: At. Mol. Phys. 49, 185101 (2016).

    Article  ADS  Google Scholar 

  23. E. Nielsen, D. V. Fedorov, and A. S. Jensen, “The structure of the atomic helium trimers: Halos and Efimov states,” J. Phys. B: At. Mol. Phys. 31, 4085–4105 (1998).

    Article  ADS  Google Scholar 

  24. M. Salci et al., “Finite element investigation of the ground states of the helium trimers 4He3 and 4He2 3He,” Int. J. Quant. Chem. 107, 464–468 (2007).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. A. Kolganova.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Korobitsin, A.A., Kolganova, E.A. The Properties of the Symmetric and Asymmetric Helium Three-Atomic Systems. Phys. Part. Nuclei 54, 1029–1032 (2023). https://doi.org/10.1134/S1063779623060187

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063779623060187

Navigation