https://doi.org/10.1140/epjc/s10052-018-6045-0
Regular Article - Theoretical Physics
Khuri–Treiman equations for 
scattering
1
Departamento de Física, Universidad de Murcia, 30071, Murcia, Spain
2
Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, 47403, USA
3
Physics Department, Indiana University, Bloomington, IN, 47405, USA
4
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510, Mexico City, Mexico
5
Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, VA, 23606, USA
6
Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, 53115, Bonn, Germany
7
Department of Physics and Astronomy, Universiteit Gent, Gent, Belgium
* e-mail: miguelalbaladejo@gmail.com
Received:
28
March
2018
Accepted:
2
July
2018
Published online:
13
July
2018
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 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.
© The Author(s), 2018
