Lettere al Nuovo Cimento (1971-1985)

, Volume 41, Issue 12, pp 405–408 | Cite as

Consistency and inconsistency of the pion wave function

  • M. Yamada


The Van Royen-Weisskopf relation is extended to incorporate the second-order electromagnetic decay of the neutral pion. Using this result, we connect the decay rate of the process π0 → 2γ to the square of the absolute value of the pion wave function at zero distance ¦ϕ(0)¦2 through the effective quark propagator. This connection is compared with the result from the anomalous Ward-Takahashi identity for the axial vector current. It is shown that previously noticed disagreement on ϕ(0)¦2 of the pion wave function is solved if the quark propagator is parametrized like a free propagator with a mass of the same order as the constituent quark mass.


14.40 Mesons and meson resonances 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    R. Van Royen andV. F. Weisskopf:Nuovo Cimento A,50, 617 (1967).ADSCrossRefGoogle Scholar
  2. (2).
    See,e.g.,V. A. Novikov,L. B. Okun,M. A. Shifman,A. I. Vainshtein,M. B. Voloshin andZ.I. Zakharov:Phys. Rep.,11, 1 (1978).ADSCrossRefGoogle Scholar
  3. (3).
    Y. Hara:Prog. Theor. Phys. (Kyoto),65, 1987 (1981).ADSCrossRefGoogle Scholar
  4. (4).
    J. Gasser andH. Leutwyler:Phys. Rep.,87, 77 (1982).ADSCrossRefGoogle Scholar
  5. (5).
    S. L. Adler:Phys. Rev.,177, 2426 (1969);J. S. Bell andR. Jaokiw:Nuovo Cimento A,60, 47 (1969).ADSCrossRefGoogle Scholar
  6. (6).
    D. G. Sutherland:Nucl. Phys. B,2, 433 (1967);M. Veltman:Proc. R. Soc. London, Ser. A,301, 107 (1967).ADSCrossRefGoogle Scholar
  7. (7).
    Particle Data group:Rev. Mod. Phys.,56, No. 2, Part. II (1984)Google Scholar

Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • M. Yamada
    • 1
  1. 1.Technical Junior CollegeIbaraki UniversityHitachi, Ibaraki 316Japan

Personalised recommendations