Skip to main content
SpringerLink
Log in

FESR for soft-pion amplitudes, or the zero-energy theorems revisited

FESR для амплитуд мягких пионов или уточненные теоремы при нулевой знергии

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The Adler treatment of the off-mass-shell corrections to pion-nucleon forward amplitudes has been re-examined in the light of the new experimental data. This treatment is found to be consistent both with the experimental knowledge on |g A | and with the chiral-symmetry-breaking scheme of Gell-Mann, Oakes and Renner, in whose framework it had previously been employed to evaluate the kaon-nucleon sigma-term.

Riassunto

In questo lavoro si è ripreso in esame il trattamento dato da Adler per le correzioni fuori dello strato della massa all’ampiezza di diffusione in avanti pione-nucleone, alla luce dei nuovi dati sperimentali. Questo trattamento è stato trovato ancora consistente sia con la conoscenza sperimentale di |g A | che con lo schema di rottura della simmetria chirale proposto da Gell-Mann, Oakes e Renner, nel cui quadro generale è già stato impiegato in precendenza per una stima del termine sigma nella diffusione kaone-nucleone.

Реэюме

В свете новых эксперментальных данных была эаново исследована трактовка Адлера поправок вне массовой поверхности к амплитудам пион-нуклонного рассеяния вперед. Обнаружено, что зто рассмотрение согласуется и с зксперимен-тальными данныии для |g A | и со схемой нарущенной киральной симметрии Гелл-Манна, Оакса и Реннера, которые испольэовали ранее зто рассмотрение для оценки каон-нуклонного сигма-члена.

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. R. A. Brandt andG. Preparata:Phys. Rev. D,7, 218 (1973);R. A. Brandt:Proc. S.I.F., Course LIV (New York and London, 1972), p. 297.

    Article  ADS  Google Scholar 

  2. S. L. Adler:Phys. Rev.,140, B 736 (1965).

    Google Scholar 

  3. W. I. Weisberger:Phys. Rev.,143, 1302 (1966).

    Article  ADS  Google Scholar 

  4. M. Gell-Mann:Phys. Rev.,125, 1067 (1962);R. A. Brandt andG. Preparata:Ann. of Phys.,61, 119 (1970).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. F. von Hippel andJ. K. Kim:Phys. Rev. D,1, 151 (1970);E. T. Osypowski:Nucl. Phys.,21 B, 615 (1970);G. Höhler, H. P. Jakob andR. Strauss:Phys. Lett.,35 B, 445 (1971);M. Ericson andM. Rho:Phys. Lett.,36 B, 93 (1971);P. Gensini:Nuovo Cimento,6 A, 98 (1971);G. Altarelli, N. Cabibbo andL. Maiani:Nucl. Phys.,34 B, 621 (1917);S. J. Hakim:Nucl. Phys.,36 B, 436 (1972).

    Article  ADS  Google Scholar 

  6. M. Gell-Mann, R. J. Oakes andB. Renner:Phys. Rev.,175, 2196 (1968).

    Article  ADS  Google Scholar 

  7. C. H. Chan andF. T. Meiere:Phys. Rev.,175, 2222 (1968).

    Article  ADS  Google Scholar 

  8. G. Köpp, T. F. Walsh andP. Zerwas:Nucl. Phys.,42 B, 109 (1972).

    Article  ADS  Google Scholar 

  9. J. Ellis andP. H. Weisz:Nuovo Cimento,4 A, 873 (1971).

    Article  ADS  Google Scholar 

  10. L. Maiani andG. Preparata:Fortschr. Phys.,17, 537 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  11. S. L. Adler andR. F. Dashen:Current Algebras and Applications to Particle Physics (New York, 1968).

  12. G. Veneziano:Nuovo Cimento,57 A, 190 (1968);C. Lovelace:Phys. Lett.,28 B, 264 (1968);J. Ellis andH. Osborn:Phys. Lett.,31 B, 580 (1970).

    Article  ADS  Google Scholar 

  13. R. A. Brandt andG. Preparata:Ann. of Phys.,61, 119 (1970).

    Article  ADS  Google Scholar 

  14. Below the first resonance:D. Bodansky, A. M. Sachs andJ. Steinberger:Phys. Rev.,93, 1367 (1954);S. W. Barnes, B. Rose, G. Giacomelli, J. Ring, K. Miyake andK. Kinsey:Phys. Rev.,117, 226 (1960);D. E. Knapp andK. F. Kinsey:Phys. Rev.,131, 1822 (1963).First resonance region:A. A. Carter, J. R. Williams, D. V. Bugg, P. J. Bussey andD. R. Dance:Nucl. Phys.,26 B, 445 (1971).Up to p L ⋍ 7 GeV/c:A. Citron, W. Galbraith, T. F. Kycia, B. A. Leontic, R. H. Phillips andA. Rousset:Phys. Rev. Lett.,13, 205 (1964);A. A. Carter, K. F. Riley, R. J. Tapper, D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer andA. W. O’Dell:Phys. Rev.,168, 1457 (1968).Above p L =8 GeV/c:K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles andE. H. Willer:Phys. Rev. Lett.,19, 330 (1967);S. P. Denisov, S. V. Donskov, Yu. P. Gorin, A. I. Petrukhin, Yu. D. Prokoshkin, D. A. Stoyanova, J. V. Allaby andG. Giacomelli:Phys. Lett.,36 B, 415 (1971);S. P. Denisov, Yu. P. Dmitrevski, S. V. Donskov, Yu. P. Gorin, Yu. P. Melnik, A. I. Petrukhin, Yu. D. Prokoshkin, V. S. Seleznev, R. S. Shuvalov, D. A. Stoyanova andL. M. Vasiljev:Phys. Lett.,36 B, 528 (1971). This collection of data is extended and brought up to date with respect not only to that employed in the original papers (ref. (2,3)) but also with respect to that employed in ref. (9) (particularly on the first resonance and at very high energies).

    Article  ADS  Google Scholar 

  15. W. Rarita, R. J. Riddel jr.,G. B. Chiu andR. J. N. Phillips:Phys. Rev.,165, 1615 (1967); more recent fits do not change these values very much: see, for instance,M. Restignoli, D. Schiff andG. Violini:Nuovo Cimento,7 A, 856 (1972).

    Article  ADS  Google Scholar 

  16. S. Almehed andC. Lovelace:Nucl. Phys.,40 B, 147 (1972); CERN report Th. 1408, addendum (1971), unpublished.

    ADS  Google Scholar 

  17. V. K. Samaranayake andW. S. Woolcock:Nucl. Phys.,48 B, 205 (1972).

    Article  ADS  Google Scholar 

  18. R. J. Blin-Stoyle andJ. M. Freeman:Nucl. Phys.,150 A, 369 (1970).

    Article  ADS  Google Scholar 

  19. G. Cohen-Tannoudji, A. Morel andH. Navelet:Ann. of Phys.,46, 239 (1968);J. P. Ader, M. Capdeville andH. Navelet:Nuovo Cimento,56 A, 315 (1968).

    Article  ADS  Google Scholar 

  20. L. M. Simmons:Phys. Rev. Lett.,12, 229 (1964).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica dell’Università, Lecce

    P. Gensini

Authors
  1. P. Gensini
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Work done while the author was at the International Centre for Theoretical Physics, Trieste, October–November 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gensini, P. FESR for soft-pion amplitudes, or the zero-energy theorems revisited. Nuov Cim A 18, 697–710 (1973). https://doi.org/10.1007/BF02727586

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02727586

Search

Navigation