No Arabic abstract
Using the production reactions $pdto {}^3mbox{He},omega$ and $ppto ppomega$, the Dalitz plot distribution for the $omega to pi^+ pi^- pi^0$ decay is studied with the WASA detector at COSY, based on a combined data sample of $ (4.408pm 0.042) times 10^4$ events. The Dalitz plot density is parametrised by a product of the $P$-wave phase space and a polynomial expansion in the normalised polar Dalitz plot variables $Z$ and $phi$. For the first time, a deviation from pure $P$-wave phase space is observed with a significance of $4.1sigma$. The deviation is parametrised by a linear term $1+2alpha Z$, with $alpha$ determined to be $+0.147pm0.036$, consistent with the expectations of $rho$-meson-type final-state interactions of the $P$-wave pion pairs.
Dalitz plot distribution of the $etatopi^+pi^-pi^0$ decay is determined using a data sample of $1.2cdot 10^7$ $eta$ mesons from $pdto ^3textrm{He}eta$ reaction at 1 GeV collected by the WASA detector at COSY.
Using a low-background sample of $2.6times 10^5$ $J/psirightarrowomegaeta(omegarightarrowpi^{+}pi^{-}pi^{0},etarightarrowgammagamma)$ events, about 5 times larger statistics than previous experiments, we present a Dalitz plot analysis of the decay $omegarightarrowpi^{+}pi^{-}pi^{0}$. It is found that the Dalitz plot distribution differs from the pure $P$-wave phase space with a statistical significance of $18.9sigma$. The parameters from the fit to data are in reasonable agreement with those without the cross-channel effect within the dispersive framework, which indicates that the cross-channel effect in $omegarightarrowpi^+pi^-pi^0$ is not significant.
Using $1.6$ fb$^{-1}$ of $e^+ e^-tophitoetagamma$ data collected with the KLOE detector at DA$Phi$NE, the Dalitz plot distribution for the $eta to pi^+ pi^- pi^0$ decay is studied with the worlds largest sample of $sim 4.7 cdot 10^6$ events. The Dalitz plot density is parametrized as a polynomial expansion up to cubic terms in the normalized dimensionless variables $X$ and $Y$. The experiment is sensitive to all charge conjugation conserving terms of the expansion, including a $gX^2Y$ term. The statistical uncertainty of all parameters is improved by a factor two with respect to earlier measurements.
The resonant substructures of $B^0 to overline{D}^0 pi^+pi^-$ decays are studied with the Dalitz plot technique. In this study a data sample corresponding to an integrated luminosity of 3.0 fb$^{-1}$ of $pp$ collisions collected by the LHCb detector is used. The branching fraction of the $B^0 to overline{D}^0 pi^+pi^-$ decay in the region $m(overline{D}^0pi^{pm})>2.1$ GeV$/c^2$ is measured to be $(8.46 pm 0.14 pm 0.29 pm 0.40) times 10^{-4}$, where the first uncertainty is statistical, the second is systematic and the last arises from the normalisation channel $B^0 to D^*(2010)^-pi^+$. The $pi^+pi^-$ S-wave components are modelled with the Isobar and K-matrix formalisms. Results of the Dalitz plot analyses using both models are presented. A resonant structure at $m(overline{D}^0pi^-) approx 2.8$ GeV$/c^{2}$ is confirmed and its spin-parity is determined for the first time as $J^P = 3^-$. The branching fraction, mass and width of this structure are determined together with those of the $D^*_0(2400)^-$ and $D^*_2(2460)^-$ resonances. The branching fractions of other $B^0 to overline{D}^0 h^0$ decay components with $h^0 to pi^+pi^-$ are also reported. Many of these branching fraction measurements are the most precise to date. The first observation of the decays $B^0 to overline{D}^0 f_0(500)$, $B^0 to overline{D}^0 f_0(980)$, $B^0 to overline{D}^0 rho(1450)$, $B^0 to D_3^*(2760)^- pi^+$ and the first evidence of $B^0 to overline{D}^0 f_0(2020)$ are presented.
We perform an analysis of the $D^+ to K^0_S pi^+ pi^0$ Dalitz plot using a data set of 2.92 fb$^{-1}$ of $e^+e^-$ collisions at the $psi(3770)$ mass accumulated by the BESIII Experiment, in which 166694 candidate events are selected with a background of 15.1%. The Dalitz plot is found to be well-represented by a combination of six quasi-two-body decay channels ($K^0_Srho^+$, $K^0_Srho(1450)^+$, $overline{K}^{*0}pi^+$, $overline{K}_0(1430)^0pi^+$, $overline{K}(1680)^0pi^+$, $overline{kappa}^0pi^+$) plus a small non-resonant component. Using the fit fractions from this analysis, partial branching ratios are updated with higher precision than previous measurements.