Is there an isovector companion of the X(2175)?

TL;DR

This paper investigates the e^{+}e^{-} o \phi \pi^0 \eta reaction to test the existence of an isovector partner of the X(2175) resonance, providing predictions for experimental verification.

Contribution

It applies a recent formalism to predict the cross section of a specific reaction, offering a way to test the isovector nature of the X(2175) resonance.

Findings

Cross section within reach of current e^{+}e^{-} experiments

Absence of an isovector companion of X(2175) predicted

Provides a method to experimentally test the resonance's nature

Abstract

In this letter we study the reaction e^{+}e^{-}\to\phi \pi^0 \eta with the \pi^{0}\eta system in an isoscalar s-wave configuration. We use a formalism recently developed for the study of e^{+}e^{-}\to\phi \pi\pi and e^{+}e^{-}\to\phi K^{+}K^{-}. The obtained cross section is within the reach of present e^{+}e^{-} machines. Measuring this channel would test the absence of an isovector companion of the X(2175) as predicted by the three body approach to this resonance.