A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π<SUP>0</SUP>→γγ

HUANG Tao; XIE Yi-Cheng

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(4) : 437-441

A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ

HUANG Tao ^, ,
XIE Yi-Cheng

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Abstract：
The contributions from the valence quark state and the higher Fock states of hadronic wavefunctions in the process π⁰→γγ are analyzed in this paper. An important result, the contribution to the amplitude of the process π⁰→γγ from the valence Fock state is one half of the total amplitude, is proved by using a gauge invariant identity of the divergence of the axial vector current. From this inference we obtain a constraint on the valence Fock state wavefunction, which is very useful for useful for phenomenological analysis in exclusive processes.

References

[1]

R. Jackiw, D. Gross, Lectures on Current Algebra and its Applications, Princeton University Press (Princeton, 1972).[2] S. J. Brodsky ,Tao Huang and G. P. Lepage, Published in Springer Tracts in Modern Physics,Vol. 100, "Quarks and Nuclear Forces" ed. by D. Fries and B. Zeitnitz, (1982).[3] G. P. Lepage and S. J. Brodsky, Phys. Rev., D22(1980), 2157.[4] Tao Huang, Published in the Proceedings of the XXth Int. Conf. on High Energy Physics, Madison,Wisc. (1980), S. J. Brodsky, Tao Husng, and G. P. Lepage, SLAC-PUB-2540, 2580.[5] G. P. Lepage, S. J. Brodsky, Tao Huang and P. B. Mackenzie, in Particles and Fields 2, ed. by A. Z. Capri abd A. N. Karnal (Plenum, New York, 1983).[6] R. A. Brandt, Phys. Rev., 180 lt969), 1490[7] J. Schwinger, Phys. Rev., 82 (1951), 664; C. R. Hagen, Phys. Rev., 177(1969), 2622.[8] R. Jackiw, K. Johnson, Phys. Rev., 182 (1969), 1459.

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HUANG Tao and XIE Yi-Cheng. A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ[J]. Chinese Physics C, 1985, 9(4): 437-441.

HUANG Tao and XIE Yi-Cheng. A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ[J]. Chinese Physics C, 1985, 9(4): 437-441. shu

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Received: 1900-01-01
Revised: 1900-01-01

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A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ

HUANG Tao ^,
XIE Yi-Cheng

Corresponding author: HUANG Tao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-08-05

Abstract: The contributions from the valence quark state and the higher Fock states of hadronic wavefunctions in the process π⁰→γγ are analyzed in this paper. An important result, the contribution to the amplitude of the process π⁰→γγ from the valence Fock state is one half of the total amplitude, is proved by using a gauge invariant identity of the divergence of the axial vector current. From this inference we obtain a constraint on the valence Fock state wavefunction, which is very useful for useful for phenomenological analysis in exclusive processes.