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Nuclear effects in positive pion electroproduction on the deuteron near threshold

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Abstract.

Positive pion electroproduction from the deuteron near threshold has been considered within an approach based on the unitary transformation method. The gauge independence of the treatment is provided by using an explicitly gauge-independent expression for the reaction amplitude. The results of calculations for the kinematics of the experiments on forward-angle \(\pi^ + \) meson electroproduction accomplished at Saclay and Jefferson Laboratory are discussed and compared with those given by the impulse approximation. It is shown that the observed behaviour of the cross-sections is in accordance with the calculations based on the pion-nucleon dynamics. In particular, the pion production rate suppression in the \(^2{\rm H}({\rm e,e}'\pi^ + \))nn reaction compared to that for the \(^1{\rm H}({\rm e,e}'\pi^ + \))n one can be due to such “nuclear medium” effects as nucleon motion and binding along with Pauli blocking in the final nn state.

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References

  1. Y. Surya, F. Gross, Phys. Rev. C 53, 2422 (1996); C.H.M. van Antwerpen, I.R. Afnan, Phys. Rev. C 52, 554 (1995); S. Nozawa, T.-S.H. Lee, B. Blankleider, Phys. Rev. C 41, 213 (1990).

    Article  Google Scholar 

  2. E. Mazzucato et al. , Phys. Rev. Lett. 57, 3144 (1986); R. Beck et al. , Phys. Rev. Lett. 65, 1841 (1990); J.C. Bergstrom et al. , Phys. Rev. C 53, R1052 (1996); H.B. van den Brink et al. , Phys. Rev. Lett. 74, 3561 (1995).

    Article  Google Scholar 

  3. V. Bernard, N. Kaiser, J. Gasser, U.-G. Meißner, Phys. Lett. B 268, 291 (1991); V. Bernard, N. Kaiser, T.-S.H. Lee, U.-G. Meißner, Phys. Rep. B 246, 315 (1994).

    Article  Google Scholar 

  4. H.W.L. Naus, J.H. Koch, J.L. Friar, Phys. Rev. C 41, 2852 (1990); S. Scherer, J.H. Koch, Nucl. Phys. A 534, 461 (1991).

    Article  Google Scholar 

  5. M.L. Goldberger, K.M. Watson, Collision Theory (J. Wiley & Sons, NY, 1964).

  6. L.G. Levchuk, A.V. Shebeko, Phys. At. Nuclei 58, 923 (1995).

    Google Scholar 

  7. L.G. Levchuk, A.V. Shebeko, Phys. At. Nuclei 62, 228 (1999).

    Google Scholar 

  8. L.G. Levchuk, A.V. Shebeko, Sov. J. Nucl. Phys. 50, 607 (1989).

    Google Scholar 

  9. S. Okubo, Prog. Theor. Phys. 12, 603 (1954).

    MathSciNet  MATH  Google Scholar 

  10. L.L. Foldy, Phys. Rev. 92, 178 (1953).

    Article  MATH  Google Scholar 

  11. J.L. Friar, S. Fallieros, Phys. Rev. C 34, 2029 (1986).

    Article  Google Scholar 

  12. A.V. Shebeko, Sov. J. Nucl. Phys. 49, 30 (1989); L.G. Levchuk, A.V. Shebeko, Phys. At. Nuclei 56, 227 (1993).

    Google Scholar 

  13. C. Itzykson, J-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).

  14. B.K. Jennings, Phys. Lett. B 205, 187 (1988).

    Article  Google Scholar 

  15. A.J.F. Siegert, Phys. Rev. 52, 787 (1937).

    Article  Google Scholar 

  16. N.M. Kroll, M.A. Ruderman, Phys. Rev. 93, 233 (1954).

    Article  MATH  Google Scholar 

  17. R. Gilman et al. , Phys. Rev. Lett. 64, 622 (1990).

    Article  Google Scholar 

  18. R.J. Loucks, V.R. Pandharipande, R. Schiavilla, Phys. Rev. C 49, 342 (1994).

    Article  Google Scholar 

  19. T. de Forest, Ann. Phys. (N.Y.), 45, 365 (1967).

    Google Scholar 

  20. N. Dombey, B.J. Read, Nucl. Phys. B 60, 65 (1973).

    Article  Google Scholar 

  21. J.G. Körner, M. Kuroda, Phys. Rev. D 16, 2165 (1977).

    Article  Google Scholar 

  22. T. Ericson, W. Weise, Pions and Nuclei (Clarendon Press, Oxford, 1988).

  23. G. Bardin et al. , Nucl. Phys. B 120, 45 (1977).

    Article  Google Scholar 

  24. M. Lacombe et al. , Phys. Lett. B 101, 139 (1981).

    Article  Google Scholar 

  25. M. Lacombe et al. , Phys. Rev. C 21, 861 (1980).

    Article  Google Scholar 

  26. A.Yu. Korchin, A.V. Shebeko, KhFTI 77-35, Kharkov, 1977.

  27. G.E. Brown, A.D. Jackson, The Nucleon-Nucleon Interaction (North Holland Publ. Co., Amsterdam, 1976).

  28. G. Köbschall et al. , Nucl. Phys. A 466, 612 (1987).

    Article  Google Scholar 

  29. D. Gaskell et al. , Phys. Rev. Lett. 87, 202301 (2001).

    Article  Google Scholar 

  30. V.B. Ganenko, I.I. Miroshnichenko, V.M. Sanin, P.V. Sorokin, S.V. Shalatskij, A.V. Shebeko, Sov. J. Nucl. Phys. 29, 565 (1979).

    Google Scholar 

  31. L. Canton, W. Schadow, Phys. Rev. C 56, 1231 (1997).

    Article  Google Scholar 

  32. K. Hafidi, T.-S.H. Lee, Phys. Rev. C 64, 064607 (2001).

    Article  Google Scholar 

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Authors and Affiliations

  1. Kharkov Institute of Physics and Technology, 61108, Kharkov, Ukraine

    L. Levchuk & A. Shebeko

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, I-35131, Padova, Italy

    L. Canton

Authors
  1. L. Levchuk
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  2. L. Canton
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  3. A. Shebeko
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Correspondence to L. Levchuk.

Additional information

Communicated by A. Molinari

Received: 28 October 2003, Published online: 29 June 2004

PACS:

13.60.Le Meson production - 25.10. + s Nuclear reactions involving few-nucleon systems - 25.20.Lj Photoproduction reactions - 25.30.Rw Electroproduction reactions

L. Levchuk: leonid.levchuk@pd.infn.it

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Levchuk, L., Canton, L. & Shebeko, A. Nuclear effects in positive pion electroproduction on the deuteron near threshold. Eur. Phys. J. A 21, 29–36 (2004). https://doi.org/10.1140/epja/i2003-10184-1

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