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Fixed- Finite-Energy-Sum-Rule Calculations and the CERN Amplitudes
Phys. Rev. D 2, 2096 – Published 1 November, 1970
DOI: https://doi.org/10.1103/PhysRevD.2.2096
Abstract
It is shown that Regge asymptotic scattering amplitudes constructed from the CERN model-independent experimental (EXP) phase shifts possess better convergence properties than the same amplitudes constructed from the CERN resonance-model dispersion-relation (TH) phases used previously in fixed- finite-energy sum rules. The EXP phases provide a better description of the data since they are fitted to them directly, while the TH phases are only an attempt to approximate the EXP phases by a resonance model satisfying dispersion-relation constraints. However, substituting the EXP phases for the TH ones does not greatly alter the sum-rule results. The calculations are also extended to higher moments and suggestions are made for improving the calculation.
Original Article
Baryon Exchanges from -Channel Finite-Energy Sum Rules
References (4)
- V. Barger, C. Michael, and R. J. N. Phillips, Phys. Rev. 185, 1852 (1969)
- A. Donnachie, R. G. Kirsopp, and C. Lovelace, CERN Report No. Th838 Addendum (unpublished)
- A. D. Brody, D. W. G. S. Leith, B. S. Levi, B. C. Shen, D. Herndon, R. Longacre, L. Price, A. H. Rosenfeld, and P. Söding, Phys. Rev. Letters 22, 1401 (1969) C. Lovelace and A. Donnachie, Phys. Rev. D 1, 956 (1970)
Omitted endnote