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Prog. Theor. Phys. Vol. 38 No. 5 (1967) pp. 1116-1133

[ Full Text PDF : FREE ACCESS (1134K) ]

Analysis of Single-Pion Production Reactions π+ + p → π+ + π0 + p, π+ + π+ + n below 1 BeV

Yoshiko Oi Nakamura

Department of Physics, University of Tokyo, Tokyo

(Received May 25, 1967)

Abstract:

The single-pion production reactions π+p → π+π0p, π+π+n below 1 Bev are analyzed by using the “generalized isobar model” based on the Lovelace equation. The “generalized isobar model” includes the effect of the pin cloud around the nucleon in addition to the (3-3) isobar production of the usual isobar model. The estimate of the production amplitude includes no adjustable parameter. We calculate the charge ratio σ (π+p → π+π0p)/σ (π+p → π+π+n), the distribution of Treiman Yang angles φ and β, and the angular distributions of final pions in the overall center of mass system. The agreement with experiment is much improved compared with the usual isobar model.


URL : http://ptp.ipap.jp/link?PTP/38/1116/
DOI : 10.1143/PTP.38.1116

[ Full Text PDF : FREE ACCESS (1134K) ] Citation:


References:

  1. G. Taufest and R. Willmann, Bull. Am. Phys. Soc. 10 (1965), 114.
  2. J. Kirz, J. Schwartz and R. Tripp, Phys. Rev. 130 (1963), 2481[APS].
  3. H. Jahn, Phys. Rev. 126 (1962), 824[APS].
  4. Newcomb, Phys. Rev. 132 (1963), 1283[APS].
  5. R. Barloutaud, J. Heughebaert, A. Leveque, C. Louedec, J. Meyer and D. Yucho, Nuovo Cim. 27 (1963), 238.
  6. J. Kirz, J. Schwartz and R. Tripp, Phys. Rev. 126 (1962), 763[APS].
  7. R. Burstein, G. Charlton, T. Day, G. Quareni, A. Quareni-Vignudelli, G. Yodh and I. Nadelhaft, Phys. Rev. 137 (1965), B1044[APS].
  8. C. A. Tilger, C. P. Poirier, E. D. Alyea, Jr., H. J. Martin, Jr. and J. H. Scandrett, Phys. Rev. 142 (1966), 972[APS].
  9. C. P. Poirier, C. A. Tilger, E. D. Alyea, Jr., H. J. Martin, Jr. and J. H. Scandrett, Phys. Rev. 143 (1966), 1092[APS].
  10. J. F. Dotoeuf, Y. Ducros, J. P. Merlo, A. String, B. Thevenst and L. van Rossum, Phys. Rev. 134 (1964), B228[APS].
  11. M. G. Olsson and G. B. Yodh, Phys. Rev. 145 (1966), 1327[APS]; ibid. 145 (1966), 1309[APS].
  12. R. M. Sternheimer and S. J. Lindenbau, Phys. Rev. 110 (1958), 1723[APS]; ibid. 105 (1957), 1874[APS]; ibid. 106 (1957), 1107[APS]; ibid. 123 (1961), 333[APS].
  13. M. Olsson and G. B. Yodh, Bull. Am. Phys. Soc. 10 (1965), 35.
  14. G. B. Yodh and M. Olsson, Phys. Rev. 145 (1966), 1309[APS]; ibid. 145 (1966), 1327[APS].
  15. V. Anisovich and L. Dakhno, Phys. Lett. 10 (1964), 221[CrossRef].
  16. L. Rodberg, Phys. Rev. Lett. 3 (1959), 58[APS].
  17. P. Carruthers and H. Bethe, Phys. Rev. Lett. 4 (1966), 536[APS].
  18. P. Carruthers, Ann. of Phys. 14 (1961), 229[CrossRef].
  19. C. Goebel and H. Schnitzer, Phys. Rev. 123 (1961), 1021[APS].
    H. Schnitzer, Phys. Rev. 125 (1962), 1059[APS].
  20. L. Stodolsky and J. Sakurai, Phys. Rev. Lett. 11 (1963), 90[APS].
    L. Stodolsky, Phys. Rev. 134 (1964), B1099[APS].
    K. Itabashi and T. Ebata, Prog. Theor. Phys. 30 (1963), 505[PTP].
  21. F. Selleri, in Lectures in Theoretical Physics (University Colorado Press, Boulder, Colorado, 1964), p. 236.
  22. Bergia, F. Bonsignori and A. Stanghellini, Nuovo Cim. 16 (1960), 1073.
  23. M. Olsson and G. B. Yodh, Phys. Rev. Lett. 10 (1963), 353[APS].
  24. V. Anisovich, Zh. Eksp. Teor. Fiz. 39 (1960), 97; ibid. 39 (1960), 1357.
  25. L. D. Faddeev, Zh. Eksp. Teor. Fiz. 39 (1960), 1459 [Sov. Phys. JETP 12 (1961), 1014].
    L. D. Faddeev, Dokl. Akad. Nauk SSSR 138 (1961), 565 [Sov. Phys. Doklady 6 (1961), 384].
    L. D. Faddeev, Dokl. Akad. Nauk SSSR 145 (1962), 301 [Sov. Phys. Doklady 7 (1963), 600].
    L. D. Faddeev, Mathematical Problems of the Quantum Theory of Scattering for a Three-Particle System (Publications of the Steklov Mathematical Institute, Leningrad, 1963), No. 69 [H. M. Stationary Office (Harwell, 1964)].
  26. C. Lovelace, Phys. Rev. 135 (1964), 1225[APS].
  27. R. F. Peierls, Phys. Rev. Lett. 16 (1961), 641[APS].
    M. Nauemberg and A. Pais, Phys. Rev. Lett. 8 (1962), 82[APS].
    R. J. Oakes, Phys. Rev. Lett. 12 (1964), 134[APS].
  28. G. F. Chew, M. L. Goldberger, F. E. Low and Y. Nambu, Phys. Rev. 106 (1957), 1345[APS].
  29. L. D. Roper, Phys. Rev. Lett. 12 (1964), 340[APS].
  30. P. Bareyer, C. Brikman, A. V. String and G. Villet, Phys. Lett. 18 (1965), 342[CrossRef].
  31. G. C. Wick, Ann. of Phys. 18 (1962), 65[CrossRef].
  32. G. W. Tautfest and R. B. Willmann, Preprint.
  33. V. P. Shelest and D. Stoyanov, Phys. Lett. 13 (1964), 253[CrossRef].
    D. Stojanov and A. N. Tavkhelidge, Phys. Lett. 13 (1964), 76[CrossRef].
  34. M. Jacob and G. C. Wick, Ann. of Phys. 7 (1959), 404[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 837-860 :
    Three-Pion-Exchange Contribution to Nucleon-Nucleon Scattering through Simple 3π-NN Diagrams
    Susumu Furuichi
  2. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 350-352 :
    New Definition of the Three-Body Separable Potential and Its Application to the Three-Nucleon System
    Shinsho Oryu