Skip to main content
SpringerLink
Log in

New inversion methods for the Lorentz Integral Transform

  • Original Article
  • Published:
The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform.

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.

Similar content being viewed by others

References

  1. V. Efros, W. Leidemann, G. Orlandini, Phys. Lett. B 338, 130 (1994).

    Article  CAS  Google Scholar 

  2. V. Efros, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 78, 432 (1997).

    Article  CAS  Google Scholar 

  3. V.D. Efros, W. Leidemann, G. Orlandini, E.L. Tomusiak, Phys. Rev. C 69, 044001 (2004).

    Article  Google Scholar 

  4. V. Efros, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 78, 4015 (1997).

    Article  CAS  Google Scholar 

  5. S. Bacca, M. Marchisio, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev Lett. 89, 052502 (2002).

    Article  PubMed  Google Scholar 

  6. S. Bacca, H. Arenhövel, N. Barnea, W. Leidemann, G. Orlandini, Phys. Lett. B 603.

  7. A. La Piana, W. Leidemann, Nucl. Phys. A 677, 423 (2000).

    Article  Google Scholar 

  8. S. Quaglioni, N. Barnea, V.D. Efros, W. Leidemann, G. Orlandini, Phys. Rev. C 69, 044002 (2004).

    Article  Google Scholar 

  9. C. Reiß, E.L. Tomusiak, W. Leidemann, G. Orlandini, Eur. Phys. J. A 17, 589 (2003).

    Google Scholar 

  10. D. Gazit, N. Barnea, Phys. Rev. C 70, 048801 (2004).

    Article  Google Scholar 

  11. V. Efros, W. Leidemann, G. Orlandini, Few-Body Syst. 26, 251 (1999).

    Article  CAS  Google Scholar 

  12. H. Kamada , Phys. Rev. C 64, 044001 (2001).

    Article  Google Scholar 

  13. D. Andreasi, Thesis, Università di Trento (2005).

  14. V.M. Fridman, Usp. Mat. Nauk 11, 233 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università di Trento, I-38050, Povo (TN), Italy

    D. Andreasi, W. Leidemann & C. Reiß

  2. Gruppo Collegato di Trento, INFN, I-38050, Povo (TN), Italy

    D. Andreasi & W. Leidemann

  3. Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099, Mainz, Germany

    M. Schwamb

Authors
  1. D. Andreasi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. Leidemann
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Reiß
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. Schwamb
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. Leidemann.

Additional information

V. Vento

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andreasi, D., Leidemann, W., Reiß, C. et al. New inversion methods for the Lorentz Integral Transform. Eur. Phys. J. A 24, 361–372 (2005). https://doi.org/10.1140/epja/i2005-10009-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2005-10009-3

PACS.

Search

Navigation