Skip to main content
Log in

Reaction Dynamics of Weakly-Bound Few-Body Nuclei at Energies Around the Coulomb Barrier

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

Abstract

We present a quantum reaction approach that unambiguously quantifies the complete and incomplete fusion of weakly-bound few-body nuclei. Calculations carried out within a simple model for \({\text{}^{6}}\)Li + \({\text{}^{209}}\)Bi at energies near the Coulomb barrier show that converged probabilities for the total, complete and incomplete fusion as well as for the scattering process can be obtained with the time-dependent wave-packet dynamics.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Blumenfeld Y., Nilsson T., Van Duppen P.: Facilities and methods for radioactive ion beam production. Phys. Scr. T152, 014023-1–014023-24 (2013)

    Article  ADS  Google Scholar 

  2. Back B.B., Esbensen H., Jiang C.L., Rehm K.E.: Recent developments in heavy-ion fusion reactions. Rev. Mod. Phys. 86, 317–360 (2014)

    Article  ADS  Google Scholar 

  3. Canto L.F., Gomes P.R.S., Donangelo R., Lubian J., Hussein M.S.: Recent developments in fusion and direct reactions with weakly bound nuclei. Phys. Rep. 596, 1–86 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  4. Diaz-Torres A., Hinde D.J., Tostevin J.A., Dasgupta M., Gasques L.R.: Relating breakup and incomplete fusion of weakly-bound nuclei through a classical trajectory model with stochastic breakup. Phys. Rev. Lett. 98, 152701-1–152701-4 (2007)

    Article  ADS  Google Scholar 

  5. Diaz-Torres A.: Modelling incomplete fusion dynamics of weakly-bound nuclei at near-barrier energies. J. Phys. G Nucl. Part. Phys. 37, 075109-10–075109-10 (2010)

    Article  ADS  Google Scholar 

  6. Diaz-Torres A.: PLATYPUS: a code for reaction dynamics of weakly-bound nuclei at near-barrier energies within a classical dynamical model. Comput. Phys. Commun. 182, 1100–1104 (2011)

    Article  ADS  MATH  Google Scholar 

  7. Diaz-Torres A., Thompson I.J.: Effect of continuum couplings in fusion of halo \({\text{}^{11}}\)Be on \({\text{}^{208}}\)Pb around the Coulomb barrier. Phys. Rev. C 65, 024606-1–024606-6 (2002)

    Article  ADS  Google Scholar 

  8. Diaz-Torres A., Thompson I.J., Beck C.: How does breakup influence the total fusion of  \({\text{}^{6,7}}\)Li at the Coulomb barrier?. Phys. Rev. C 68, 044607-1–044607-8 (2003)

    Article  ADS  Google Scholar 

  9. Boselli M., Diaz-Torres A.: Unambiguous separation of low-energy fusion processes of weakly-bound nuclei. J. Phys. G Nucl. Part. Phys. 41, 094001-1–094001-11 (2014)

    Article  ADS  Google Scholar 

  10. Yabana K.: Low energy reactions of halo nuclei in a three-body model. Prog. Theor. Phys. 97, 437–450 (1997)

    Article  ADS  Google Scholar 

  11. Tannor D.J.: Introduction to Quantum Mechanics: A Time-Dependent Perspective. University Science Books, Saulito (2007)

    Google Scholar 

  12. Chamon L.C. et al.: Toward a global description of the nucleus-nucleus interaction. Phys. Rev. C 66, 014610-1–014610-13 (2002)

    Article  ADS  Google Scholar 

  13. Mandelshtam V.A., Taylor H.S.: A simple recursion polynomial expansion of the Green’s function with absorbing boundary conditions: Application to the reactive scattering. J. Chem. Phys. 103, 2903–2907 (1995)

    Article  ADS  Google Scholar 

  14. Tal-Ezer H., Kosloff R.: An accurate and efficient scheme for propagating the time dependent Schrödinger equation. J. Chem. Phys. 81, 3967–3971 (1984)

    Article  ADS  Google Scholar 

  15. Schafer K.J., Kulander K.C.: Energy analysis of time-dependent wave functions: Application to above-threshold ionization. Phys. Rev. A 42, 5794–5797 (1990)

    Article  ADS  Google Scholar 

  16. Hashimoto S., Ogata K., Chiba S., Yahiro M.: New approach for evaluating incomplete and complete fusion cross sections with continuum-discretized coupled-channels method. Prog. Theor. Phys. 122, 1291–1300 (2009)

    Article  ADS  MATH  Google Scholar 

  17. Dasgupta M. et al.: Effect of breakup on the fusion of \({\text{}^6}\)Li, \({\text{}^7}\)Li, and \({\text{}^9}\)Be with heavy targets. Phys. Rev. C 70, 024606-1–024606-20 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexis Diaz-Torres.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Boselli, M., Diaz-Torres, A. Reaction Dynamics of Weakly-Bound Few-Body Nuclei at Energies Around the Coulomb Barrier. Few-Body Syst 57, 177–184 (2016). https://doi.org/10.1007/s00601-015-1028-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-015-1028-2

Keywords

Navigation