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The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations

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
Additional Information: Phys.Rev. D58 (1998) 036002
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited: 30 Jul 2004
Last Modified: 19 Sep 2010 04:13
URI: http://eprints.iisc.ernet.in/id/eprint/866

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