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Publication Information
Title Three-body Final State Interaction in eta to 3pi
Abstract We present an unitary dispersive model for the $\eta \to 3 \pi$ decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the $\eta \to 3\pi$ decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for $\eta \to \pi^+ \pi^- \pi^0$. Based on the parameters obtained we predict the slope parameter for the neutral channel to be $\alpha=-0.022\pm 0.004$. Through matching to next-to-leading order chiral perturbation theory we estimate the quark mass double ratio to be $Q=21.4 \pm 0.4$.
Author(s) Peng Guo, Igor Danilkin, Diane Schott, Cesar FERNANDEZ RAMIREZ, Vincent Mathieu, Adam Szczepaniak
Publication Date September 2015
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-15-2041 OSTI Number: 1223489
LANL Number: arXiv:1505.01715 Other Number: DOE/OR/23177-3343
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed Yes
Volume 92
Issue 05
Page(s) 054016
Attachments/Datasets/DOI Link
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DOI Link
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