ϕ(2170) Decaying to ϕππ and ϕKK¯

Author:

Chen Yun-Hua1ORCID

Affiliation:

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Abstract

Within the framework of dispersion theory, we study the the processes e+e−→ϕ(2170)→ϕππ(KK¯). The strong pion–pion final-state interactions, especially the KK¯ coupled channel in the S wave, are taken into account in a model-independent way using the Omnès function solution. Through fitting the experimental data of the ππ and ϕπ invariant mass distributions of the e+e−→ϕ(2170)→ϕπ+π− process, the low-energy constants in the chiral Lagrangian are determined. The theoretical prediction for the cross sections’ ratio σ(e+e−→ϕ(2170)→ϕK+K−)/σ(e+e−→ϕ(2170)→ϕπ+π−) is given, which could be useful for selecting the physical solution, when the fit to the e+e−→ϕK+K− cross-section distribution is available in the future. Our results suggest that above the kinematical threshold of ϕKK¯, the mechanism e+e−→ϕK+K−, with the kaons rescattering to a pion pair, plays an important role in the e+e−→ϕπ+π− transition.

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference61 articles.

1. Aubert, B. et al. [BaBar Collaboration] (2006). A Structure at 2170-MeV in e+e− → ϕ f0(980) Observed via Initial-State Radiation. Phys. Rev. D, 74, 091103.

2. Aubert, B. et al. [BaBar Collaboration] (2007). The e+e− → K+K−π+π−, K+K−π0π0 and K+K− K+K− cross-sections measured with initial-state radiation. Phys. Rev. D, 76, 012008.

3. Aubert, B. et al. [BaBar Collaboration] (2008). Measurements of e+e− → K+K−η, K+K−π0 and Ks0K±π∓ cross- sections using initial state radiation events. Phys. Rev. D, 77, 092002.

4. Lees, J.P. et al. [BaBar Collaboration] (2012). Cross Sections for the Reactions e+e− → K+K−π+π−, K+K−π0π0, and K+K−K+K− Measured Using Initial-State Radiation Events. Phys. Rev. D, 86, 012008.

5. Ablikim, M. et al. [BES Collaboration] (2008). Observation of Y(2170) in J/ψ → ηϕ f(0)(980). Phys. Rev. Lett., 100, 102003.

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