Skip to main content
SpringerLink
Log in

Fixed-angle method for low-energy resonance calculations

  • Published:
Il Nuovo Cimento (1955-1965)

Summary

A new method for the approximate calculation of low-energy resonance phenomena is proposed. It is based on replacing the partial-wave amplitudes by linear combinations of fixed-angle amplitudes which can be chosen to approximate them arbitrarily closely in the low-energy physical region. TheN/D integral equations are algebraic and always soluble. Simple solutions for thep-wave π-π problem are given.

Riassunto

Si propone un nuovo metodo per calcoli approssimati dei fenomeni di risonanza di bassa energia. È basato sulla sostituzione delle ampiezze delle onde parziali con combinazioni lineari di ampiezza di angolo fisso che possono essere soelte in modo da approssimarle in modo arbitrariamente prossimo nella regione fisica di basse énergie. Le equazioni integrali N/D sono algebriche e sempre risolvibili. Si danno soluzioni semplici per il problema π-π in ondap.

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. M. Cini, S. Fubini andA. Stanghellini : Phys. Rev.,114, 1633 (1959).

    Article  ADS  MATH  Google Scholar 

  2. S. Mandelstam:Phys. Rev.,115, 1741, 1752 (1959); or for instance,G. F. Chew:S-Matrix Theory of Strong Interactions (New York, 1961).

    Article  MathSciNet  ADS  Google Scholar 

  3. G. F. Chew andS. Mandelstam:Phys. Rev.,119, 467 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. F. Zachariasen andC. Zemach:Phys. Rev.,128, 849 (1962).

    Article  ADS  Google Scholar 

  5. M. Froissakt:Nuovo Cimento,22, 191 (1961).

    Article  Google Scholar 

  6. G. F. Chew:Phys. Rev.,129, 2363 (1963).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CERN, Geneva

    H. Burkhardt

  2. Department of Mathematical Physics, University of Birmingham, Birmingham

    G. P. McCauley

Authors
  1. H. Burkhardt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. P. McCauley
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

On leave of absence from the Department of Mathematical Physics, University of Birmingham.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burkhardt, H., McCauley, G.P. Fixed-angle method for low-energy resonance calculations. Nuovo Cim 38, 872–882 (1965). https://doi.org/10.1007/BF02748603

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02748603

Search

Navigation