Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles

D. Atkinson; M. Kaekebeke; J. S. Frederiksen; P. W. Johnson

doi:10.1007/BF01609052

Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles

D. Atkinson, M. Kaekebeke, J. S. Frederiksen, P. W. Johnson

Research output: Contribution to journal › Article › Other

7 Citations (Scopus)

Abstract

We demonstrate the existence of a solution of the nonlinear pion-pion equations that incorporate crossing symmetry, unitarity and l-plane meromorphy. In particular, we show how to guarantee the boundedness of the partial waves as s→∞, even when some Regge trajectories rise beyond unity.

Original language	English
Pages (from-to)	67-84
Number of pages	18
Journal	Communications in Mathematical Physics
Volume	51
Issue number	1
DOIs	https://doi.org/10.1007/BF01609052
Publication status	Published - Feb 1976
Externally published	Yes

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10.1007/BF01609052

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Atkinson, D., Kaekebeke, M., Frederiksen, J. S., & Johnson, P. W. (1976). Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles. Communications in Mathematical Physics, 51(1), 67-84. https://doi.org/10.1007/BF01609052

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