Three-body Final State Interaction in η→3π

Guo, Peng; Danilkin, Igor V.; Schott, Diane; Fernández-Ramírez, C.; Mathieu, V.; Szczepaniak, Adam P.

doi:10.1103/PhysRevD.92.054016

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

Journal Article · Fri Sep 11 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.054016· OSTI ID:1223489

Guo, Peng ^[1]; Danilkin, Igor V. ^[2]; Schott, Diane ^[3]; Fernández-Ramírez, C. ^[2]; Mathieu, V. ^[4]; Szczepaniak, Adam P. ^[1]

Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); George Washington Univ., Washington, DC (United States)
Indiana Univ., Bloomington, IN (United States)

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 $$Q=21.4 \pm 0.4$$.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Contributing Organization:: Joint Physics Analysis Center

Grant/Contract Number:: PHY-1415459; PHY-1205019; AC05-06OR23177

OSTI ID:: 1223489

Alternate ID(s):: OSTI ID: 1215457

Report Number(s):: JLAB-THY-15-2041; DOE/OR/23177-3343; arXiv:1505.01715; PRVDAQ

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 5; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 62 works

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