BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS

  • Assuming that leptons are composed of a heavy fermion and a heavy scalar boson and using Bethe-Salpeter equation, we conclude that in the non-relativistic limit the radius and , in particular, the anomalous magnetic moment of leptons can be sufficiently small provided that the interaction of the constituents is of vector type and that the fermion is much beavier than the scalar boson. Whereas the scalar type interaction can only give wavefunctions with large radius and anomalous magnetic moment.
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  • [1] G. L. Shaw, D. Siherman and R. Slausky, Phys. Lett., 94B(1980), 57.[2] P. F. Smith and J. D. Lewin, Phys. Lett., 94B(1980), 484.[3] H. Terazawa and K. Akama, Phys. Lett., 96B(1980), 276.[4] S. Brodsky and S. D. Drell, Phys. Rev., D22(1980), 2236.[5] 黄朝商、戴元本, 高能物理与核物理, 5 (1981),699; Huang Tao, Xie Yicheng BIHEP-TH-82-3(1982).[6] O. W. Greenberg and J. Sucher, Phys. Lett., 99B (1981), 339.[7] H. Fritzsch and G. Mandelbaum, Phys. Lett., 102B(1981), 319.[8] S. D. Drell and T. D. Lee, Phys. Rev., D5(1972), 1738.[9] C Quigg and J. L. Rosner, Phys. Reports, 56(1979), 168.[10] P. Van Royen amd V. F. Weisskopf, Nuovo Cimento, 50A(1967), 617.
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ZHAO Guang-Da. BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS[J]. Chinese Physics C, 1983, 7(3): 323-332.
ZHAO Guang-Da. BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS[J]. Chinese Physics C, 1983, 7(3): 323-332. shu
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Received: 1900-01-01
Revised: 1900-01-01
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BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS

    Corresponding author: ZHAO Guang-Da,
  • Department of Physics, Peking University

Abstract: Assuming that leptons are composed of a heavy fermion and a heavy scalar boson and using Bethe-Salpeter equation, we conclude that in the non-relativistic limit the radius and , in particular, the anomalous magnetic moment of leptons can be sufficiently small provided that the interaction of the constituents is of vector type and that the fermion is much beavier than the scalar boson. Whereas the scalar type interaction can only give wavefunctions with large radius and anomalous magnetic moment.

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