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Application of hard-pion four-point functions to pion-pion scattering

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

Application of hard-pion four-point functions is made to ππ scattering on the basis of the SU(2)×SU(2) current algebra, a conserved vector current, a partially conserved axial-vector current, and the hypothesis of single-meson dominance of intermediate states in T products. The calculation uses techniques previously developed for exploiting the content of the current algebra and the subsidiary conditions for an N-point process. The ππ scattering amplitude is shown to include, besides the well-known pole diagrams, a set of seagull terms. The Weinberg scattering lengths and effective ranges are found to be accurate to within a few percent, since the hard-pion corrections at threshold are only of O(mπ2/mρ2). In the low-energy region, the scattering-phase shifts are seen to be generally small and essentially model-independent, while at the K-meson mass δ00-δ02≃35°. All existing data (up to 1 GeV) can be fitted by adjusting one model-dependent parameter

Duke Scholars

Published In

Phys. Rev. (USA)

Publication Date

1968

Volume

175

Issue

5

Start / End Page

1820 / 1831
 

Citation

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MLA
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Arnowitt, R., Friedman, M. H., Nath, P., & Suitor, R. (1968). Application of hard-pion four-point functions to pion-pion scattering. Phys. Rev. (USA), 175(5), 1820–1831.
Arnowitt, R., M. H. Friedman, P. Nath, and R. Suitor. “Application of hard-pion four-point functions to pion-pion scattering.” Phys. Rev. (USA) 175, no. 5 (1968): 1820–31.
Arnowitt R, Friedman MH, Nath P, Suitor R. Application of hard-pion four-point functions to pion-pion scattering. Phys Rev (USA). 1968;175(5):1820–31.
Arnowitt, R., et al. “Application of hard-pion four-point functions to pion-pion scattering.” Phys. Rev. (USA), vol. 175, no. 5, 1968, pp. 1820–31.
Arnowitt R, Friedman MH, Nath P, Suitor R. Application of hard-pion four-point functions to pion-pion scattering. Phys Rev (USA). 1968;175(5):1820–1831.

Published In

Phys. Rev. (USA)

Publication Date

1968

Volume

175

Issue

5

Start / End Page

1820 / 1831