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Title: Dispersive analysis of ω/Φ → 3π, πγ*

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2];  [3];  [3];  [4];  [5];  [6]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). JLAB
  3. Indiana Univ., Bloomington, IN (United States)
  4. George Washington Univ., Washington, DC (United States)
  5. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Peking Univ., Beijing (China)
  6. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)

The decays ω/Φ → 3π are considered in the dispersive framework that is based on the isobar decomposition and subenergy unitarity. The inelastic contributions are parametrized by the power series in a suitably chosen conformal variable that properly accounts for the analytic properties of the amplitude. The Dalitz plot distributions and integrated decay widths are presented. Our results indicate that the final- state interactions may be sizable. As a further application of the formalism we also compute the electromagnetic transition form factors of ω/Φ → π⁰γ*.

Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
FG02-87ER40365; AC05-06OR23177
OSTI ID:
1182721
Report Number(s):
JLAB-THY--14-1960; DOE/OR/23177--3189; arXiv:1409.7708
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 9 Vol. 91; ISSN PRVDAQ; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (22)

Dalitz plot analysis of the decay η → π+ π− π0 journal June 1968
Theoretical analysis of the γγ (*)π 0 η process journal January 2019
Measurement of the ω → π 0 e + e − and η → e + e − γ Dalitz decays with the A2 setup at the Mainz Microtron journal March 2017
Resonance decay dynamics and their effects on p T spectra of pions in heavy-ion collisions journal March 2018
Dalitz-plot decomposition for three-body decays journal February 2020
Three-body final state interaction in η → 3 π journal September 2015
One spatial dimensional finite volume three-body interaction for a short-range potential journal March 2017
Numerical approach for finite volume three-body interaction journal January 2018
Variational approach to N -body interactions in finite volume journal November 2018
Pole position of the a 1 ( 1260 ) from τ -decay journal November 2018
Dalitz plot analysis of the decay ω → π + π − π 0 journal December 2018
Multiple-particle interaction in ( 1 + 1 )-dimensional lattice model journal January 2019
Three-body unitarity with isobars revisited journal September 2017
Two-hadron saturation for the pseudoscalar–vector–vector correlator and phenomenological applications journal December 2015
What is the right formalism to search for resonances? journal March 2018
Khuri–Treiman equations for $$\pi \pi $$ π π scattering journal July 2018
Quark-mass dependence in $$\omega \rightarrow 3\pi $$ ω → 3 π decays journal October 2018
Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation journal January 2019
Decays of light mesons in the relativistic quark model journal October 2019
Resonance decay dynamics and their effects on $p_T$-spectra of pions in heavy-ion collisions text January 2017
Variational approach to $N$-body interactions in finite volume text January 2018
Measurement of the ω→π0e+e− and η→e+e−γ Dalitz decays with the A2 setup at the Mainz Microtron text January 2017

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