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Application of hard-pion three-point functions

Publication ,  Journal Article
Arnowitt, R; Friedman, MH; Nath, P
Published in: Phys. Rev. (USA)
1968

Some comparisons with experiment of the hard-pion three- point functions obtained from SU(2)×SU(2) current algebra are given. Available experimental data involving π,ρ, A1, and σ mesons are examined. The hard-pion current-algebra method i is used to calculate the decays ρ→π+π,A1→π+ρ, and σ→π+π, and the electromagnetic form factor of the pion Peripheral processes such as π+N→ρ+N are also examined as a test of meson-vertex functions for spacelike momentum transfers. Here, to reproduce correctly the momentum-transfer dependence at the nucleon vertex, a new extrapolation for the pionic nucleon form factor is introduced, using the Goldberger-Treiman relation. The results of the above calculations are found to be consistent with the present experimental situation. Current-algebra predictions for the γ+N→A1+N cross section and the decays A1→π+γ and A1→π+σ are given. A cross section of about 0.1 μb is obtained for the A1 photoproduction, which is on the verge of being detectable

Duke Scholars

Published In

Phys. Rev. (USA)

Publication Date

1968

Volume

174

Issue

5

Start / End Page

2008 / 2015
 

Citation

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MLA
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Arnowitt, R., Friedman, M. H., & Nath, P. (1968). Application of hard-pion three-point functions. Phys. Rev. (USA), 174(5), 2008–2015.
Arnowitt, R., M. H. Friedman, and P. Nath. “Application of hard-pion three-point functions.” Phys. Rev. (USA) 174, no. 5 (1968): 2008–15.
Arnowitt R, Friedman MH, Nath P. Application of hard-pion three-point functions. Phys Rev (USA). 1968;174(5):2008–15.
Arnowitt, R., et al. “Application of hard-pion three-point functions.” Phys. Rev. (USA), vol. 174, no. 5, 1968, pp. 2008–15.
Arnowitt R, Friedman MH, Nath P. Application of hard-pion three-point functions. Phys Rev (USA). 1968;174(5):2008–2015.

Published In

Phys. Rev. (USA)

Publication Date

1968

Volume

174

Issue

5

Start / End Page

2008 / 2015