Search for $X(3872)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ at Belle

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Search for $X (3872) \to π^{+} π^{-} π^{0}$ at Belle

J. H. Yin et al. (Belle Collaboration)

Phys. Rev. D 107, 052004 – Published 9 March 2023

Abstract

We present a search for the decay $X (3872) \to π^{+} π^{-} π^{0}$ in the $(772 \pm 11) \times 10^{6}$ $ϒ (4 S) \to B \bar{B}$ data sample collected at the Belle detector, where the $X (3872)$ is produced in $B^{\pm} \to K^{\pm} X (3872)$ and $B^{0} \to K_{S}^{0} X (3872)$ decays. We do not observe a signal, and set 90% credible upper limits for two different models of the decay processes: if the decay products are distributed uniformly in phase space, $B (X (3872) \to π^{+} π^{-} π^{0}) < 1.3 %$ , and if $M (π^{+} π^{-})$ is concentrated near the mass of the $D^{0} {\bar{D}}^{0}$ pair in the process $X (3872) \to D^{0} {\bar{D}}^{* 0} + c . c . \to D^{0} {\bar{D}}^{0} π^{0} \to π^{+} π^{-} π^{0}$ , $B (X (3872) \to π^{+} π^{-} π^{0}) < 1.2 \times 10^{- 3}$ .

Received 17 June 2022
Accepted 26 September 2022

DOI:https://doi.org/10.1103/PhysRevD.107.052004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Branching fraction Hadronic decays Quantum chromodynamics Quark model Strong interaction

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Vol. 107, Iss. 5 — 1 March 2023

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Figure 1
Distributions of the MVA discriminator output for (a) the charged mode in case I, (b) the neutral mode in case I, (c) the charged mode in case II, and (d) the neutral mode in case II. Dots with error bars show the experimental data, blue shaded histogram the normalized generic $B \bar{B}$ MC sample, green shaded histogram the normalized generic continuum MC sample, and red shaded histogram the normalized signal MC sample. Vertical dashed lines represent the requirements applied in the analyses.
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Figure 2
Events in the signal region for (top) $B^{+} \to K^{+} J / ψ$ and (bottom) $B^{0} \to K_{S}^{0} J / ψ$ . Left plots show the ( $M (π^{+} π^{-} π^{0}), M_{bc}$ ) distribution, center plots show the projection on $M_{bc}$ , and right plots show the projection on $M (π^{+} π^{-} π^{0})$ . In the center and right plots, dots with error bars show the experimental data, red curves the fit results, blue dashed curves the combinatorial background, and green dotted curves show the sum of the combinatorial and $B \to K π^{+} π^{-} π^{0}$ backgrounds.
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Figure 3
Events in the signal region for (top) $B^{+} \to K^{+} X (3872)$ and (bottom) $B^{0} \to K_{S}^{0} X (3872)$ in the case I analysis. Left plots show the ( $M (π^{+} π^{-} π^{0})$ , $M_{bc}$ ) distribution, center plots show the projection on $M_{bc}$ , and right plots show the projection on $M (π^{+} π^{-} π^{0})$ . In the center and right plots, dots with error bars show the experimental data, red curves the fit results, blue dashed curves the combinatorial background, and green dotted curves show the sum of the combinatorial and $B \to K π^{+} π^{-} π^{0}$ backgrounds.
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Figure 4
$M (π^{+} π^{-})$ distributions in the $X (3872)$ signal region in the case II analysis. Dots with error bars show the experimental data from the charged (left) and neutral (right) channel. The red shaded histogram shows the signal MC, normalized assuming $B (X (3872) \to π^{+} π^{-} π^{0}) = 1 \times 10^{- 3}$ . The blue solid line shows the MC background samples, normalized to the same integrated luminosity as the experimental data.
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Figure 5
Events in the signal region for (top) $B^{+} \to K^{+} X (3872)$ and (bottom) $B^{0} \to K_{S}^{0} X (3872)$ in the case II analysis. Left plots show the ( $M (π^{+} π^{-} π^{0}), M_{bc}$ ) distribution, center plots show the projection on $M_{bc}$ , and right plots show the projection on $M (π^{+} π^{-} π^{0})$ . In the center and right plots, dots with error bars show the experimental data, red curves the fit results, blue dashed curves the combinatorial background, and green dotted curves show the sum of the combinatorial and $B \to K π^{+} π^{-} π^{0}$ backgrounds.
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Physical Review D

covering particles, fields, gravitation, and cosmology

Search for $X (3872) \to π^{+} π^{-} π^{0}$ at Belle

J. H. Yin et al. (Belle Collaboration)

Phys. Rev. D 107, 052004 – Published 9 March 2023

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Physical Review D

covering particles, fields, gravitation, and cosmology

Search for X(3872)→π+π−π0 at Belle

J. H. Yin et al. (Belle Collaboration)

Phys. Rev. D 107, 052004 – Published 9 March 2023

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Search for $X (3872) \to π^{+} π^{-} π^{0}$ at Belle