Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation

Abstract

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.

References in corpus (11)

• Dispersive analysis of the decay eta -> 3 pi
• B_l4 decays and the extraction of |V_ub|
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Extracting the chiral anomaly from gamma pi --> pi pi
• Rescattering effects in eta {\to} 3pi decays
• Eta decays at and beyond ${\mathbf{p}}^4$ in Chiral Perturbation Theory
• The role of P-wave inelasticity in J/psi to pi+pi-pi0
• Amplitudes for the analysis of the decay $J/\psi \to K^{+}{K}^{-}{\pi }^0$
• A Dispersive Treatment of $K_{\ell 4}$ Decays

Cited by in corpus (9)

• An solvable three-body model in finite volume
• Variational approach to $N$-body interactions in finite volume
• One spatial dimensional finite volume three-body interaction for a short-range potential
• An numerical approach for finite volume three-body interaction
• Three-body final state interaction in $\eta \to 3\pi$ updated
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Multi-${\pi }^{+}$ systems in finite volume
• Solving integral equations in $\eta \to 3\pi$
• A coupled-channel formalism for three-body final state interaction