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Systematic study of the singularity mechanism in heavy quarkonium decays

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arxiv 1305.1997 v2 pith:GVYRAVJX submitted 2013-05-09 hep-ph

Qian Wang , Christoph Hanhart , Qiang Zhao This is my paper · ORCID
classification hep-ph
keywords heavymesonstatesdecaysmechanismhadron-hadronpairresonances
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abstract

We investigate in detail the role of heavy meson loops in the transition from $J^{PC}=1^{--}$ sources to candidates for QCD "exotics", such as $Z_c(3900)$, $Z_b(10610)$ and $Z_b'(10650)$. We demonstrate that, if a vector state strongly couples to a heavy meson pair in an $S$--wave and this system decays to another heavy meson pair (e.g. via pion emission), again in an $S$-wave, the pertinent diagrams get enhanced significantly, if the intermediate states are (near) on--shell and have small relative momenta. In a limited kinematic range this mechanism generates "singularity regions" that lead to the creation of a large number of low energy heavy meson pairs, providing an ideal environment for the formation of hadron-hadron bound states or resonances. For instance, we predict that the signals for $Z_b$ and $Z_b'$ should be a lot stronger in $\Upsilon(6S)$ decays due to this mechanism, if these states are indeed hadron-hadron resonances. The findings of this work should be valuable for deepening our understanding of the nature of the mentioned states.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A femtoscopic tale of two $C$-parities: the $Z_c(3900)$ and the isovector partner of the $X(3872)$

    hep-ph 2026-08 conditional novelty 7.0 of 10

    Femtoscopic correlations of charged charm meson pairs mix C-odd and C-even interactions, giving a new experimental probe of the predicted W_c1 state and correcting earlier predictions.

  2. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 unverdicted novelty 6.5 of 10

    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

  3. Spatial Prediction of Local Soil Erosion Distribution in the Wasserstein Space

    stat.ME 2026-06 unverdicted novelty 6.0 of 10

    A framework maps erosion distributions to Wasserstein space, uses basis expansion to create a multivariate random field, and applies local regression plus Kriging to predict distributions and their functionals at new ...

  4. Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners

    hep-ph 2019-08 conditional novelty 5.0 of 10

    X(3872) is best described as a shallow D D* molecule in which one-pion exchange and a small charmonium core provide comparable attraction.

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