ENERGY DEPENDENCE OF ${{\boldsymbol \omega}}$ $\rightarrow$ ${{\boldsymbol \pi}^{+}}{{\boldsymbol \pi}^{-}}{{\boldsymbol \pi}^{0}}$ DALITZ PLOT INSPIRE search

The following experiments fit to one or more of the coefficients $\alpha $, $\beta $, $\gamma $ for $\vert $matrix element$\vert ^2$ ${}\propto$ $\mathit P$ (1 + 2$\alpha $ Z + 2$\beta $ Z${}^{3/2}$ sin$(3\phi )$ + 2$\gamma Z{}^{2}$ + $\mathit O(Z{}^{5/2}$)) where $\mathit P$ is the ${\mathit P}{\mathrm -wave}$ phase-space factor and Z, $\phi $ are kinematical variables as defined in ADLARSON 2017 .

VALUE

EVTS

DOCUMENT ID

TECN

COMMENT

$\bf{ 0.133 \pm0.008}$

OUR AVERAGE

$0.1321$ $\pm0.0067$ $\pm0.0046$

260k

ABLIKIM

2018

BES3

${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \eta}}$

$0.147$ $\pm0.036$

44k

ADLARSON

2017

WASA

$\alpha $ in ${{\mathit p}}$ ${{\mathit d}}$ $\rightarrow$ ${}^{3}\mathrm {He}{{\mathit \omega}}$, ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}{{\mathit \omega}}$

¹ Keeping a term linear in Z only. A fit with the terms proportional to Z and Z${}^{3/2}$ gives $\alpha $ = $0.133$ $\pm0.041$ and $\beta $ = $0.037$ $\pm0.054$.

References:

ABLIKIM

2018AD

PR D98 112007

Dalitz Plot Analysis of the Decay $\omega \rightarrow \pi^{+}\pi^{-}\pi^{0}$

ADLARSON

2017

PL B770 418

Measurement of the ${{\mathit \omega}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Dalitz Plot Distribution