Dispersion relations with crossing symmetry for {pi}{pi} D- and F-wave amplitudes
- Department of Theoretical Physics Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, 31-342, Krakow (Poland)
A set of once subtracted dispersion relations with imposed crossing symmetry condition for the {pi}{pi} D- and F-wave amplitudes is derived and analyzed. An example of numerical calculations in the effective two-pion mass range from the threshold to 1.1 GeV is presented. It is shown that these new dispersion relations impose quite strong constraints on the analyzed {pi}{pi} interactions and are very useful tools to test the {pi}{pi} amplitudes. One of the goals of this work is to provide a complete set of equations required for easy use. Full analytical expressions are presented. Along with the well-known dispersion relations successful in testing the {pi}{pi} S- and P-wave amplitudes, those presented here for the D and F waves give a complete set of tools for analyses of the {pi}{pi} interactions.
- OSTI ID:
- 21537763
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 7; Other Information: DOI: 10.1103/PhysRevD.83.076008; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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