Three-body Final State Interaction in η→3π
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 $$Q=21.4 \pm 0.4$$.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Contributing Org.:
- Joint Physics Analysis Center
- OSTI Identifier:
- 1223489
- Alternate Identifier(s):
- OSTI ID: 1215457
- 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
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Guo, Peng, Danilkin, Igor V., Schott, Diane, Fernández-Ramírez, C., Mathieu, V., and Szczepaniak, Adam P. Three-body Final State Interaction in η→3π. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.92.054016.
Guo, Peng, Danilkin, Igor V., Schott, Diane, Fernández-Ramírez, C., Mathieu, V., & Szczepaniak, Adam P. Three-body Final State Interaction in η→3π. United States. https://doi.org/10.1103/PhysRevD.92.054016
Guo, Peng, Danilkin, Igor V., Schott, Diane, Fernández-Ramírez, C., Mathieu, V., and Szczepaniak, Adam P. Fri .
"Three-body Final State Interaction in η→3π". United States. https://doi.org/10.1103/PhysRevD.92.054016. https://www.osti.gov/servlets/purl/1223489.
@article{osti_1223489,
title = {Three-body Final State Interaction in η→3π},
author = {Guo, Peng and Danilkin, Igor V. and Schott, Diane and Fernández-Ramírez, C. and Mathieu, V. and Szczepaniak, Adam P.},
abstractNote = {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 $Q=21.4 \pm 0.4$.},
doi = {10.1103/PhysRevD.92.054016},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 5,
volume = 92,
place = {United States},
year = {Fri Sep 11 00:00:00 EDT 2015},
month = {Fri Sep 11 00:00:00 EDT 2015}
}
Web of Science
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