Abstract
The process of electron-positron annihilation into quark-antiquark is considered with non-relativistic potential account of final state interaction. Calculations are made for confining ponentials with discrete bound final states, and for corresponding non-confining potentials, with continua of finally free quark-antiquark pairs. When suitably averaged over energy the two ways of calculating agree closely, illustrating well the local duality concept.
Similar content being viewed by others
References
A. Bramon, E. Etim, M. Greco: Phys. Lett.41B, 609 (1972); M. Greco: Nucl. Phys.B63, 398 (1973); J. J. Sakurai: Phys. Lett.46B, 207 (1973); J.J. Sakurai: Proceedings of the International School of Subnuclear Physics, Part A, p. 290. (Erice, Sicily 1973). A. Zichichi (ed.). Milan: (Periodici Scientifici 1975); M. Böhm, H. Joos, M. Krammer: Acta Phys. Austriaca38, 123 (1973); M. Böhm, M. Krammer: Nucl. Phys.B120, 113 (1977)
G.R. Farrar et al.: Phys. Lett.71B, 115 (1977); V. A. Novikov et al.: Phys. Rep.41C, 1 (1978); G.J. Gounaris, E.K. Manesis, A. Verganelakis: Phys. Lett.56B, 457 (1975); V. Barger, V.F. Long, M.G. Olsson: Phys. Lett.57B, 452 (1975); F.E. Close, D.M. Scott, D. Sivers: Nucl. Phys.B117, 134 (1976);
E.C. Poggio, H.R. Quinn, S. Weinberg: Phys. Rev.D 13, 1958 (1976)
J.S. Bell, J. Pasupath: Preprint TH. 2636-CERN (1979); J.S. Bell, J. Pasupathy: preprint TH. 2649-CERN (1979)
M. Krammer, P. Leal-Ferreira. Rev. Bras. Fis.6, 7 (1976)
C. Quigg, J.L. Rosner. Phys. Rev.D 17, 2364 (1978)
K. Ishikawa, J.J. Sakurai: Z. Physik C, Particles and Fields1, 117 (1979)
R. Van Royen, V.F. Weisskopf: Nuovo Cimento50A, 617 (1967)
E. Eichten et al. Phys. Lett.34, 369 (1975)l;ibid 36, 500 (1976); T Appelquist et al.: Phys. Rev. Lett.34, 365 (1975); B.J. Harrington et al.: Phys. Rev. Lett.34, 168 (1975); R. Barbieri et al.: Nucl. Phys.B105, 125 (1976)
This potential is motivated by theoretical considerations of C.M. Bender, T. Eguchi, H. Pagels. Phys. Rev.D 17, 1086 (1978)
C. Quigg, J.L. Rosner: Phys. Lett.71B, 153 (1977)
This can be checked for instance by the theorem of Glaser-Martin-Grosse-Thirring Studies in Mathematical Physics E.H. Lieb, B. Simon, A.S. Wightman, (eds.), p. 169. Princeton: Princeton University Press 1976
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bell, J.S., Bertlmann, R.A. TestingQ 2 duality with non-relativistic potentials. Z. Phys. C - Particles and Fields 4, 11–15 (1980). https://doi.org/10.1007/BF01477302
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01477302