skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Three-body final state interaction in η → 3π updated

Abstract

In view of the recent high-statistic KLOE-2 data for the $$\eta \to \pi^+ \pi^- \pi^0$$ decay, a new determination of the quark mass double ratio has been done. Our approach relies on a unitary dispersive model that takes into account rescattering effects between three pions. The latter is essential to reproduce the Dalitz plot distribution. A simultaneous description of the KLOE-2 and WASA-at-COSY data is achieved in terms of just two real parameters. From a global fit, we determine $$Q=21.6 \pm 0.4$$. Here, the predicted slope parameter for the neutral channel $$\alpha=-0.025\pm 0.004$$ is in a reasonable agreement with the PDG average value.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. California State Univ., Bakersfield, CA (United States)
  2. Johannes Gutenberg Univ., Mainz (Germany); SSC RF ITEP, Moscow (Russia)
  3. Univ. Nacional Autonoma de Mexico, Ciudad de Mexico (Mexico)
  4. Indiana Univ., Bloomington, IN (United States)
  5. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1361560
Alternate Identifier(s):
OSTI ID: 1373563
Report Number(s):
JLAB-THY-16-2302; DOE/OR/23177-3887
Journal ID: ISSN 0370-2693; PII: S0370269317304550
Grant/Contract Number:
AC05-06OR23177; FG0287ER40365; PHY-1415459; PHY-1205019; 1044; 251817
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 771; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Guo, P., Danilkin, I. V., Fernandez-Ramirez, C., Mathieu, V., and Szczepaniak, A. P. Three-body final state interaction in η → 3π updated. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.05.092.
Guo, P., Danilkin, I. V., Fernandez-Ramirez, C., Mathieu, V., & Szczepaniak, A. P. Three-body final state interaction in η → 3π updated. United States. doi:10.1016/j.physletb.2017.05.092.
Guo, P., Danilkin, I. V., Fernandez-Ramirez, C., Mathieu, V., and Szczepaniak, A. P. Wed . "Three-body final state interaction in η → 3π updated". United States. doi:10.1016/j.physletb.2017.05.092.
@article{osti_1361560,
title = {Three-body final state interaction in η → 3π updated},
author = {Guo, P. and Danilkin, I. V. and Fernandez-Ramirez, C. and Mathieu, V. and Szczepaniak, A. P.},
abstractNote = {In view of the recent high-statistic KLOE-2 data for the $\eta \to \pi^+ \pi^- \pi^0$ decay, a new determination of the quark mass double ratio has been done. Our approach relies on a unitary dispersive model that takes into account rescattering effects between three pions. The latter is essential to reproduce the Dalitz plot distribution. A simultaneous description of the KLOE-2 and WASA-at-COSY data is achieved in terms of just two real parameters. From a global fit, we determine $Q=21.6 \pm 0.4$. Here, the predicted slope parameter for the neutral channel $\alpha=-0.025\pm 0.004$ is in a reasonable agreement with the PDG average value.},
doi = {10.1016/j.physletb.2017.05.092},
journal = {Physics Letters. Section B},
number = C,
volume = 771,
place = {United States},
year = {Wed Jun 07 00:00:00 EDT 2017},
month = {Wed Jun 07 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.05.092

Citation Metrics:
Cited by: 7works
Citation information provided by
Web of Science

Save / Share:
  • In view of the recent high-statistic KLOE-2 data for themore » $$\eta \to \pi^+ \pi^- \pi^0$$ decay, a new determination of the quark mass double ratio has been done. Our approach relies on a unitary dispersive model that takes into account rescattering effects between three pions. The latter is essential to reproduce the Dalitz plot distribution. A simultaneous description of the KLOE-2 and WASA-at-COSY data is achieved in terms of just two real parameters. From a global fit, we determine $$Q=21.6 \pm 0.4$$. Here, the predicted slope parameter for the neutral channel $$\alpha=-0.025\pm 0.004$$ is in a reasonable agreement with the PDG average value.« less
  • We present an unitary dispersive model for themore » $$\eta \to 3 \pi$$ 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 $$Q=21.4 \pm 0.4$$.« less
  • Cited by 24