Khuri–Treiman equations for $\pi$$\pi$ scattering

The Khuri–Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study $\pi$$\pi$ scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri–Treiman equations and Roy equations coincide when both are truncated to include only S- and P-waves. When higher partial waves are included, we find an excellent agreement between the Khuri–Treiman and the GKPY results. This lends credence to the notion that the Khuri–Treiman formalism is a reliable low-energy tool for studying hadronic reaction amplitudes.


Publication Date:
Jul 13 2018
Date Submitted:
Jun 28 2019
Pagination:
574
Citation:
European Physical Journal C: Particles and Fields
C78
7
External Resources:




 Record created 2019-06-28, last modified 2019-07-11


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