Theoretical interpretation of the $D^+_s \to π^+ π^0 η$ decay and the nature of $a_0(980)$

Molina, Raquel; Xie, Ju-Jun; Liang, Wei-Hong; Geng, Li-Sheng; Oset, Eulogio

doi:10.48550/arxiv.1908.11557

Cited by 3 publications

(7 citation statements)

References 17 publications

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“…3 is dynamically generated with the ChUA, where the a 0 (980) state can be well reproduced. It should be noted that the result shows the typical cusp effect for the a 0 (980), which is consistent with many calculations [35,39,[53][54][55]. And in high precision experimental measurements, this kind of cusp structure appears quite evidently for the a 0 (980) resonance [56][57][58][59].…”

Section: Resultssupporting

confidence: 89%

“…And in high precision experimental measurements, this kind of cusp structure appears quite evidently for the a 0 (980) resonance [56][57][58][59]. The similar situation is also visible in recent lattice QCD simulation [35]. The experimental data of the D 0 → π 0 ηη decay from BESIII Collaboration did not show this characteristic clearly, because the sampling intervals and errors are very large.…”

Section: Resultsmentioning

confidence: 70%

“…In Ref. [35], the decay process D + s → π + π 0 η was studied, and it was found that the a 0 (980) resonance could be produced via W -internal emission, but no need to invoke the W -annihilation process, which solved the puzzle of the abnormally large decay rate observed for this decay mode. Continuation of work in this direction is done in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…According to the analysis in Refs. [35,44,45], the order of weak decays strength based on topological classification follows as W -external emission, W -internal emission, W -exchange, W -annihilation, horizontal W -loop and vertical W -loop. Since the Wexternal emission has no contribution to these decays, we will only consider the contribution of the W -internal emission and omit the W -exchange mechanism.…”

Section: Introductionmentioning

confidence: 99%

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Scalar resonances in the final state interactions of the decays $D^{0} \rightarrow π^{0}π^{0}π^{0}, π^{0}π^{0}η,π^{0}ηη$

Wang,

Ahmed,

Xiao

2021

Preprint

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We investigate the scalar resonances in the processes of D 0 → π 0 π 0 π 0 , π 0 π 0 η, π 0 ηη decays based on the chiral unitary approach for the final state interaction. We start from singly Cabibbosuppressed production diagrams which provide a primary quark pair to hadronize two pseudoscalar mesons in D 0 decays. The resonances f 0 (500), f 0 (980) and a 0 (980) are dynamically produced from the final state interactions of the meson pairs. In our results, the experimental data for the π 0 η invariant mass spectrum of the D 0 → π 0 ηη decay can be described well. We also make the predictions for the π 0 π 0 invariant mass spectrum of the D 0 → π 0 π 0 π 0 , where the f 0 (980) can be found, and for the π 0 π 0 , π 0 η invariant mass spectra of the D 0 → π 0 π 0 η, where the f 0 (500), f 0 (980) and a 0 (980) appear. Furthermore, the branching ratios of each decay channel are predicted. We expect more accurate measurements of these decays to better understand the nature of the states f 0 (500), f 0 (980) and a 0 (980).

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Section: Resultssupporting

confidence: 89%

Section: Resultsmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scalar resonances in the final state interactions of the decays $D^{0} \rightarrow π^{0}π^{0}π^{0}, π^{0}π^{0}η,π^{0}ηη$

Wang,

Ahmed,

Xiao

2021

Preprint

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“…Also based on the BESIII measurements and with the final state interaction under the ChUA, Ref. [40] investigated the so-called pure W -annihilation decay D + s → π + π 0 η, and Ref. [41] studied the single Cabibbo suppressed process D + → π + π 0 η, where the main role of the a 0 (980) state generated in the subprocesses was found.…”

Section: Introductionmentioning

confidence: 99%

Study of $\bar{B}^0_{(s)}$ decaying into $D^0$ and $π^{+}π^{-}$, $K^{+}K^{-}$, or $π^{0}η$ with final state interactions

Ahmed¹,

Xiao²

2021

Preprint

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We investigate the resonant contributions in the decays B0(s) → D 0 π + π − , B0 (s) → D 0 K + K − , and B0 → D 0 π 0 η by considering the final state interactions within the chiral unitary approach. The scalar resonances produced dynamically from the final state interactions of these decays are the ones of f 0 (500), f 0 (980), and a 0 (980). In addition, the vector mesons ρ and φ produced in the p-wave are also taken into account. From the invariant mass distributions of B 0 decays, one can see that the contributions of the states f 0 (500) and a 0 (980) are remarkably larger than the one of f 0 (980). However, for the case of B 0 s decays only a clear structure closed to the K + K − threshold appears, which corresponds to the f 0 (980) state and has no signal for the f 0 (500) resonance. The dominant contributions are from the vector meson φ for the decay B0 s → D 0 K + K − , where the results of the K + K − invariant mass distributions are in agreement with the experimental data up to 1.1 GeV. Moreover, the branching fractions and the ratios of branching fractions are also investigated, where some of them are consistent with the experimental measurements, and the branching fraction Br( B0 → D 0 a 0 (980)[a 0 (980) → π 0 η]) = (6.08 ± 0.72) × 10 −5 and the ratio of branching fractions Br( B0 → D 0 f 0 (980))/Br( B0 → D 0 a 0 (980)) = 0.13 ± 0.03 are predicted.

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Productions of X(3872), $$Z_c(3900)$$, $$X_2(4013)$$, and $$Z_c(4020)$$ in $$B_{(s)}$$ decays offer strong clues on their molecular nature

Wu,

Liu,

Geng

2024

Eur. Phys. J. C

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The exotic states X(3872) and $$Z_c(3900)$$ Z c ( 3900 ) have long been conjectured as isoscalar and isovector $${\bar{D}}^*D$$ D ¯ ∗ D molecules. In this work, we first propose the triangle diagram mechanism to investigate their productions in B decays as well as their heavy quark spin symmetry partners, $$X_2(4013)$$ X 2 ( 4013 ) and $$Z_c(4020)$$ Z c ( 4020 ) . We show that the large isospin breaking of the ratio $${\mathcal {B}}[B^+ \rightarrow X(3872) K^+]/{\mathcal {B}}[B^0 \rightarrow X(3872) K^0] $$ B [ B + → X ( 3872 ) K + ] / B [ B 0 → X ( 3872 ) K 0 ] can be attributed to the isospin breaking of the neutral and charged $${\bar{D}}^*D$$ D ¯ ∗ D components in their wave functions. For the same reason, the branching fractions of $$Z_c(3900)$$ Z c ( 3900 ) in B decays are smaller than the corresponding ones of X(3872) by at least one order of magnitude, which naturally explains its non-observation. A hierarchy for the production fractions of X(3872), $$Z_c(3900)$$ Z c ( 3900 ) , $$X_2(4013)$$ X 2 ( 4013 ) , and $$Z_c(4020)$$ Z c ( 4020 ) in B decays, consistent with all existing data, is predicted. Furthermore, with the factorization ansatz we extract the decay constants of X(3872), $$Z_c(3900)$$ Z c ( 3900 ) , and $$Z_c(4020)$$ Z c ( 4020 ) as $${\bar{D}}^*D^{(*)}$$ D ¯ ∗ D ( ∗ ) molecules via the B decays, and then calculate their branching fractions in the relevant $$B_{(s)}$$ B ( s ) decays, which turn out to agree with all existing experimental data. The mechanism we proposed is useful to elucidate the internal structure of the many exotic hadrons discovered so far and to extract the decay constants of hadronic molecules, which can be used to predict their production in related processes.

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Theoretical interpretation of the $D^+_s \to π^+ π^0 η$ decay and the nature of $a_0(980)$

Cited by 3 publications

References 17 publications

Scalar resonances in the final state interactions of the decays $D^{0} \rightarrow π^{0}π^{0}π^{0}, π^{0}π^{0}η,π^{0}ηη$

Scalar resonances in the final state interactions of the decays $D^{0} \rightarrow π^{0}π^{0}π^{0}, π^{0}π^{0}η,π^{0}ηη$

Study of $\bar{B}^0_{(s)}$ decaying into $D^0$ and $π^{+}π^{-}$, $K^{+}K^{-}$, or $π^{0}η$ with final state interactions

Productions of X(3872), $$Z_c(3900)$$, $$X_2(4013)$$, and $$Z_c(4020)$$ in $$B_{(s)}$$ decays offer strong clues on their molecular nature

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