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Title: Three-body Final State Interaction in η→3π

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 $$Q=21.4 \pm 0.4$$.
Authors:
 [1] ;  [2] ;  [3] ;  [2] ;  [4] ;  [1]
  1. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); George Washington Univ., Washington, DC (United States)
  4. Indiana Univ., Bloomington, IN (United States)
Publication Date:
OSTI Identifier:
1223489
Report Number(s):
JLAB-THY--15-2041; DOE/OR/23177--3343; arXiv:1505.01715
Journal ID: ISSN 1550-7998; PRVDAQ
Grant/Contract Number:
PHY-1415459; PHY-1205019; AC05-06OR23177
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 5; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Contributing Orgs:
Joint Physics Analysis Center
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS