Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation

Understand

The single integral form of Pasquier inversion representation of Khuri-Treiman (KT) equation presents great advantages for describing final state interaction of three-body decay or production processes.

• However, the original form of Pasquier inversion representation is only given in decay region and regions below.
• For the regions above, analytic continuation of original form is required.
• Because of non-trivial nature of analytic continuation procedure, it is the purpose of this work to obtain a well-defined Pasquier inversion representation of KT equation for all the energy range.