Ananthanarayan, B (1998) The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations. [Preprint]
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Abstract
We show that a suitable setting for comparison of the low-energy representation for pion-pion scattering amplitudes, with dispersive representation for these amplitudes, is provided by certain manifestly crossing symmetric dispersion relations. We begin with a discussion of fixed-t dispersion relations and discuss the origin of crossing constraints that arise in this context when we consider resonance saturation with certain $l\geq 2$ states. We demonstrate that the approach advocated here does not require us to enforce such constraints. Our results are contrasted with those from fixed-t dispersion relations. We finally discuss the numerical import of our results.
Item Type: | Preprint |
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Additional Information: | Phys.Rev. D58 (1998) 036002 |
Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) |
Date Deposited: | 30 Jul 2004 |
Last Modified: | 19 Sep 2010 04:13 |
URI: | http://eprints.iisc.ac.in/id/eprint/866 |
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