Combined fit to BaBar and Belle Data on e+e- to phi pi+ pi- and phi f0(980)

TL;DR

This study combines BaBar and Belle data to precisely determine the properties of the $phi(1680)$ and $Y(2175)$ resonances, enhancing understanding of excited $phi$ and $Y$ states in electron-positron annihilation.

Contribution

It provides the first combined fit to both datasets to extract resonance parameters of $phi(1680)$ and $Y(2175)$ with improved precision.

Findings

Resonance mass of $phi(1680)$ is 1681 MeV/$c^2$

Resonance width of $phi(1680)$ is 221 MeV

Resonance parameters of $Y(2175)$ are determined

Abstract

A combined fit is performed to the BaBar and Belle measurements of the $\EE \to \phi \pi^+ \pi^-$ and $\phi \fzero$ cross sections for center-of-mass energy between threshold and 3.0 GeV. The resonance parameters of the $\phi(1680)$ and Y(2175) are determined. The mass is $(1681^{+10}_{-12})$ MeV/$c^2$ and the width is $(221^{+34}_{-24})$ MeV/$c^2$ for the $\phi(1680)$, and the mass is $(2117^{+59}_{-49})$ MeV/$c^2$ and the width is $(164^{+69}_{-80})$ MeV/$c^2$ for the Y(2175). These information will shed light on the understanding of the nature of the excited $\phi$ and $Y$ states observed in $\EE$ annihilation.