Elsevier

Nuclear Physics A

Volume 516, Issues 3–4, 1–8 October 1990, Pages 643-661
Nuclear Physics A

The isospin mixing effect in p p annihilation at rest into π+ π and KK

https://doi.org/10.1016/0375-9474(90)90132-6Get rights and content

Abstract

The isospin-mixing effect in p̄p annihilation at rest into π+ π and KK̄ is studied. We compare the results obtained with a pp̄ optical potential and a meson-exchange interaction which is derived either from the Bonn or from the Paris potential. The annihilation potential is derived from the constituent quark model. We adopt the annihilation model A2, i.e. we assume that the two mesons are created by annihilation of two, and creation of one, qq̄ pairs with the quantum numbers of the vacuum. The annihilation into three mesons is described by the rearrangement model R3. The isospin-mixing effect is sensitive to the choice of the meson-exchange potential. The combination of the Paris potential and the quark-model annihilation potential reproduces the ratios of π+ π and KK̄ production fairly well when the ss̄ pair creation is suppressed as compared to a uū or a dd̄ pair creation by a factor of about 0.3 in the amplitude. In the 3SD1 channel the model predicts substantial KK̄ production from the D-wave. For the π+ π production in the P-wave, the model yields comparable contributions from 3P0 and 3P2 waves. Predictions of the model on several other two-meson decay modes are also presented and compared with those of other quark models.

References (46)

  • M. Maruyama et al.

    Nucl. Phys.

    (1987)
    S. Furui et al.
  • W.N. Cottingham et al.

    Phys. Rev.

    (1973)
  • M. Maruyama et al.

    Nucl. Phys.

    (1987)
    S. Furui et al.
  • K. Holinde

    Phys. Reports

    (1981)
    K. Erkelenz

    Phys. Reports

    (1974)
  • Y.P. Kwon et al.

    Phys. Rev.

    (1978)
    D.P. Heddle et al.

    Comp. Phys. Comm.

    (1985)
  • A.M. Green et al.

    HU-TFT-88-13

    (April 1988)
  • S. Furui

    Nucl. Phys.

    (1988)
  • S. Furui et al.

    Nucl. Phys.

    (1988)
  • A.N. Mitra et al.

    Phys. Rev.

    (1967)
  • M. Ziegler

    Phys. Lett.

    (1988)
    C.J. Batty
  • U. Hartmann et al.

    Phys. Lett.

    (1985)
  • M. Chiba

    Phys. Rev.

    (1988)
    M. Chiba

    Phys. Rev.

    (1989)
    A.M. Green
  • B. May
  • C.B. Dover et al.

    Phys. Rev. Lett.

    (1989)
  • S. Furui

    Z. Phys.

    (1986)
    S. Furui

    Z. Phys.

    (1987)
  • M. Doser et al., preprint CERN/EP 88-42 Nucl. Phys. A, to be...R. Landua
  • R. Armenteros et al.S. Ahmed
  • W.B. Kaufmann et al.

    Phys. Rev.

    (1978)
  • B. MoussalamJ. Coté et al.

    Phys. Rev. Lett.

    (1982)
  • C.B. Dover et al.

    Phys. Rev.

    (1981)
    C.B. Dover et al.

    Ann. of Phys.

    (1980)
  • G.C. Oades et al.

    Nucl. Phys.

    (1987)
  • M. Kohno et al.

    Nucl. Phys.

    (1986)
  • B.R. Martin et al.
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    Supported by the Deutsche Forschungsgemeinschaft and Alexander von Humboldt Stiftung.

    1

    Present address: School of Science and Engineering, Teikyo University, Utsunomiya 320, Japan.

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