Quick Search:
Prog. Theor. Phys. Vol. 92 No. 3 (1994) pp. 583-602
Interpolating Axial Anomaly Induced Amplitudes
Masako Bando and
Masayasu Harada
Department of Physics, Kyoto University, Kyoto 606-01
(Received July 28, 1993)
Abstract:
We propose to use quark triangle anomaly graph amplitudes with QCD corrections as an interpolating formula for the amplitude induced by the axial anomaly. The QCD corrections to this amplitude are generally described by two major contributions coming from the q$q$ bound state and the background continuous spectrum, respectively.
For the first contribution, we include the contributions of the lowest vector bound state, and the second contributions comes from the quark triangle graph with a QCD corrected constituent masses used for the internal quark lines. Using the resulting form factor, we fit the experimental data for the π0γ and the ωπ0 transition form factors and show that our result describes the experimental data well.
URL :
http://ptp.ipap.jp/link?PTP/92/583/
DOI : 10.1143/PTP.92.583
References:
- J. Wess and B. Zumino, Phys. Lett. B37 (1971), 95.
- E. Witten, Nucl. Phys. B223 (1983), 422.
-
S. Adler, Phys. Rev. 177 (1969), 2426[APS].
- J. S. Bell and R. Jackiw, Nuovo Cim. 60 (1969), 37.
-
S. Adler and W. Bardeen, Phys. Rev. 182 (1969), 1517[APS].
-
M. Bando, T. Kugo and K. Yamawaki, Phys. Rep. 164 (1988), 217[CrossRef].
- G. Lepage and S. Brodsky, Phys. Lett. B87 (1979), 359.
- B. Guberina, J. H. Kühn, R. D. Peccei and R. Rückl, Nucl. Phys. B174 (1980), 317.
- K. Hikasa, Mod. Phys. Lett. A5 (1990), 1801.
- N. G. Deshpande, P. B. Pal and F. Olness, Phys. Lett. B241 (1990), 119.
- A. Manohar, Phys. Lett. B244 (1990), 101.
-
M. Bando and M. Harada, Phys. Rev. 49 (1994), 6096[APS].
- T. Fujiwara, T. Kugo, H. Terao, S. Uehara and K. Yamawaki, Prog. Theor. Phys. 73 (1985), 926[PTP].
-
M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Phys. Rev. Lett. 54 (1985), 1215[APS].
- M. Bando, T. Kugo and K. Yamawaki, Nucl. Phys. B259 (1985), 493.
- J. Sakurai, Currents and Mesons (Univ. Chicago Press, Chicago, 1969).
- L. Arnellos, W. J. Marciano and Z. Parsa, Nucl. Phys. B196 (1982), 378.
- A. Bramon, A. Grau and G. Pancheri, Phys. Lett. B277 (1992), 353.
- M. Jacob and T. Wu, Phys. Lett. B232 (1989), 529.
- CELLO Collaboration, Z. Phys. C49 (1991), 401.
- Particle Data Group: Review of Particle Properties, Phys. Rev. D45 (1992).
- R. I. Dzhelyadin et al., Phys. Lett. B102 (1981), 296.
- A. Manohar and H. Georgi, Nucl. Phys. B234 (1984), 189.
- A. Manohar and G. Moore, Nucl. Phys. B243 (1984), 55.
- S. I. Dolynsky et al., Phys. Lett. B174 (1986), 453.
