Skip to main content
Log in

Near-threshold amplitude of pion-deuteron scattering: One-loop contributions

  • Nuclei
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The one-loop expression for the absorptive correction to the πd scattering length is discussed. Relevant Feynman diagrams are calculated both in the relativistic and in the nonrelativistic formalism. A simple expression is obtained for the one-loop correction that arises in the πd scattering length owing to the Fermi motion of the nucleons in the deuteron. This correction includes absorption effects. Fulfillment of the unitarity relation is verified explicitly.

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. D. Sigg et al., Phys. Rev. Lett. 75, 3245 (1995).

    Article  ADS  Google Scholar 

  2. D. Sigg et al., Nucl. Phys. A 609, 269 (1996).

    ADS  Google Scholar 

  3. D. Chatellard et al., Phys. Rev. Lett. 74, 4157 (1995).

    Article  ADS  Google Scholar 

  4. D. Chatellard et al., Nucl. Phys. A 625, 855 (1997).

    ADS  Google Scholar 

  5. V. Bernard, N. Kaiser, and Ulf-G. Meissner, Phys. Lett. B 309, 421 (1993); Int. J. Mod. Phys. E 4, 193 (1995); Phys. Rev. C 52, 2185 (1995).

    ADS  Google Scholar 

  6. S. R. Beane, V. Bernard, T.-S. H. Lee, et al., Phys. Rev. C 57, 424 (1998).

    Article  ADS  Google Scholar 

  7. V. V. Baru and A. E. Kudryavtsev, Yad. Fiz. 60, 1620 (1997) [Phys. At. Nucl. 60, 1475 (1997)].

    Google Scholar 

  8. A. W. Thomas and R. H. Landau, Phys. Rep. 58, 121 (1980).

    Article  ADS  Google Scholar 

  9. D. S. Koltun and T. Mizutani, Ann. Phys. (N.Y.) 109, 1 (1977).

    Article  Google Scholar 

  10. P. F. A. Goudsmit et al., Nucl. Phys. A 575, 673 (1994).

    ADS  Google Scholar 

  11. I. S. Shapiro, The Theory of Direct Nuclear Reactions (Atomizdat, Moscow, 1963).

    Google Scholar 

  12. I. S. Shapiro, Usp. Fiz. Nauk 92, 549 (1967) [Sov. Phys. Usp. 10, 515 (1967)].

    Google Scholar 

  13. A. P. Yutsis, I. B. Levinson, and V. V. Vaganas, Mathematical Apparatus of the Theory of Angular Momentum (Gospolitnauchizdat, Vilnius, 1960; Israel Program for Scientific Transl., Jerusalem, 1962).

    Google Scholar 

  14. E. El Baz and B. Castel, Graphical Methods of Spin Algebras in Atomic, Nuclear, and Particle Physics (Dekker, New York, 1972; Mir, Moscow, 1974).

    Google Scholar 

  15. V. M. Kolybasov, General Properties of the Scattering Matrix and Polarization Effects in Direct Nuclear Reactions (Izd. MIFI, Moscow, 1971).

    Google Scholar 

  16. T. E. O. Ericson and W. Weise, Pions and Nuclei (Clarendon, Oxford, 1988; Nauka, Moscow, 1991).

    Google Scholar 

  17. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965; Nauka, Moscow, 1978).

    Google Scholar 

  18. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory (Russ. original, Part 1, Nauka, Moscow, 1968; Pergamon, Oxford, 1971).

    Google Scholar 

  19. V. A. Karmanov and A. V. Smirnov, Nucl. Phys. A 575, 520 (1994).

    ADS  Google Scholar 

  20. C. Fayard, G. Lamot, B. Kerbikov, et al., Strangeness Photoproduction on Deuteron (to be published).

  21. F. Gross, Phys. Rev. B 136, 140 (1964); 140, 410 (1965).

    ADS  Google Scholar 

  22. G. D. Alkhazov, V. V. Anisovich, and P. É. Volkovitskii, Diffractive Hadron-Nucleus Interactions at High Energies (Nauka, Leningrad, 1991).

    Google Scholar 

  23. R. Machleidt et al., Phys. Rep. 149, 1 (1987).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Yadernaya Fizika, Vol. 63, No. 5, 2000, pp. 871–880.

Original Russian Text Copyright © 2000 by Tarasov, Baru, Kudryavtsev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tarasov, V.E., Baru, V.V. & Kudryavtsev, A.E. Near-threshold amplitude of pion-deuteron scattering: One-loop contributions. Phys. Atom. Nuclei 63, 801–811 (2000). https://doi.org/10.1134/1.855709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.855709

Keywords

Navigation