Skip to main content
SpringerLink
Log in

Possible implications of the Gribov-Lipatov reciprocity relations in inclusive processes

  • Published:
Lettere al Nuovo Cimento (1971-1985)

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

References

  1. V. N. Gribov andL. N. Lipatov:Phys. Lett.,37 B, 78 (1971);Sov. Journ. Nucl. Phys.,15, 438, 675 (1972).

    Article  ADS  Google Scholar 

  2. Simpler derivations of the reciprocity relations in eq. (1) can be found ina)N. Christ, B. Hasslacher andA. Muller:Phys. Rev. D,6, 1453 (1972).b)P. M. Fishbane andJ. D. Sullivan:Phys. Rev. D,6, 3568 (1972). Interesting indications of a more general validity of the reciprocity relations by reason of scale invariance at short distances or alternatively the energy-momentum sum rules together with some analyticity postulates are given inc)S. Ferrara, R. Gatto andG. Parisi:Phys. Lett.,44 B, 381 (1973);d)E. Etim:Phys. Lett., to be published.

    Article  Google Scholar 

  3. G. De Franceschi, E. Etim andS. Ferrara:Phys. Lett., to be published.

  4. We consider values ofj=0,1/2; we have made use of the (spin-1/2 parton) relation betweenF 1(ω) andF 2(ω).

  5. R. A. Brandt: CERN Report TH-1557 (1972);Lectures given at the International School of Physics of Subnuclear Physics (Erice, 1972).

  6. E. D. Bloom et al.: SLAC-PUB-796 (1970), report presented at theXV International Conference on High-Energy Physics (Kiev, 1970).

  7. J. D. Bjorken andE. A. Paschos:Phys. Rev.,185, 1975 (1969);D. J. Gross andC. H. Llewellyn Smith:Nucl. Phys.,14 B, 337 (1969);C. H. Llewellyn Smith:Nucl. Phys.,17 B, 277 (1970);P. V. Landshoff andJ. C. Polkinghorne:Nucl. Phys.,28 B, 240 (1971);M. Gourdin: CERN Report TH-1266 (1970).

    Article  ADS  Google Scholar 

  8. F. Ceradini, R. Santonico, M. Conversi, L. Paoluzi, M. Grilli, E. Iarocci, P. Spillantini, V. Valente, R. Visentin andM. Nigro:Phys. Lett. 42 B, 501 (1972);M. Grilli, E. Iarocci, P. Spillantini, V. Valente, R. Visentin, B. Borgia, F. Ceradini, M. Conversi, L. Paoluzi, R. Santonico, M. Nigro, L. Trasatti andG. T. Zorn:Nuovo Cimento,13 A, 593 (1972). At CEA energy (4 GeV) the charged multiplicity is about 4 and 2.7<R<5.3, CEA preprint, CEAL 3063 (September 1972).

    Article  ADS  Google Scholar 

  9. N. Cabibbo, G. Parisi andM. Testa:Lett., Nuovo Cimento,4, 35 (1970).

    Article  Google Scholar 

  10. E. D. Bloom andF. J. Gilman:Phys. Rev. D,4, 2901 (1971);M. E. Law et al.: A compilation of data on inclusive reactions, LBL-80 (1972).

    Article  ADS  Google Scholar 

  11. The determination of the pion scattering structure function carried out here is not just an interesting theoretical application of the reciprocity ideas, firstly because data on the pion structure function may be forthcoming from Serpukhov and secondly because, by comparing the computed pion structure function with the proton’s, important general conclusions may be drawn regarding the shape, asymptotic behaviour and other characteristics which are supposed to reflect the internal structure of hadrons.

  12. S. D. Drell andT. M. Yan:Phys. Rev. Lett.,24, 181 (1970). For this theorem to be also applicable to spin-zero particles the threshold behaviour must be understood as referred to the differential cross-sections.

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. E. Etim & A. F. Grillo

    Present address: Laboratori Nazionali di Frascati del CNEN, Frascati

  2. S. Ferrara (A. Della Riccia Fellow)

    Present address: CERN, Geneva

Authors and Affiliations

  1. Laboratori Nazionali di Frascati del CNEN, Frascati

    S. Ferrara (A. Della Riccia Fellow)

Authors
  1. E. Etim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Ferrara
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. F. Grillo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by the INFN.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Etim, E., Ferrara, S. & Grillo, A.F. Possible implications of the Gribov-Lipatov reciprocity relations in inclusive processes. Lett. Nuovo Cimento 8, 849–853 (1973). https://doi.org/10.1007/BF02725349

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02725349

Search

Navigation