Coupled-channel efgects in Heavy Hadrons 18th International - - PowerPoint PPT Presentation

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Coupled-channel efgects in Heavy Hadrons 18th International - - PowerPoint PPT Presentation

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Coupled-channel efgects in Heavy Hadrons 18th International Conference on Hadron Spectroscopy and Structure (HADRON2019) D.R. Entem Overview Symmetry breaking effects Isospin breaking Isospin breaking for the X(3872) Isospin breaking for

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Coupled-channel efgects in Heavy Hadrons

18th International Conference on Hadron Spectroscopy and Structure (HADRON2019) D.R. Entem

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Overview

Symmetry breaking effects Isospin breaking Isospin breaking for the X(3872) Isospin breaking for pentaquark HQSS and HFS breaking Threshold cusps Triangle singularities

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The X(3872) now cc1(3872)

Belle 2003 Mass very close to the D* ⁰ D⁰ Isospin violating decay From a r⁰ CDF Phys. Rev. Lett. 96, 102002 Isospin breaking scale From a w Belle arXiv: hep-ex/0505037

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Isospin violation

Big isospin violation on the Wave function for the long range

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Isospin violation

Short range is different confusion about isospin violation

  • D. Gamermann and E. Oset, Phys. Rev. D 80, 014003 (2009). QFT treatment

Interpreted as probabilities Less than 1% isospin violation Small isospin breaking effect Phase space effect due to large differences on the widths Final result compatible with experimental data

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Isospin violation

This was clarified in D. Gamermann et al., Phys. Rev. D 81, 014029 (2010). The coupling is Which can be related with the wave function at the origin Short range observables will show small isospin violation Long range observables will show large isospin violation Isospin conserving interactions A short range amplitude will be given by

Isospin factors

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Isospin violation

For an isospin conserving decay and Short range observables will show small isospin violation Long range observables will show large isospin violation Isospin conserving interactions Wave functions in the CQM

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Pentaquark states

Measured by LHCb in 2015 PRL 115, 072001 (2015)

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Pentaquark states

New pentaquarks, LHCb PRL 122, 222001 (2019) States close to thresholds

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Isospin violation on Pc(4457) decays

F.-K. Guo et al., Phys. Rev. D 99, 091501 (2019). In analogy to the X(3872)

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Isospin violation on Pc(4457) decays

Isospin conserving interactions

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Isospin violation on Pc(4457) decays

Again and

Uncertainties coming from pentaquark mass

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HQSS and HFS breaking

Heavy Quarks Spin Symmetry (HQQS) and Heavy Flavor Symmetry (HFS) are good approximate symmetries of QCD. Slightly broken in the heavy-light And heavy-heavy sectors HQSS The interaction does not depend on the heavy quark spin HFS The interaction of charm and bottom is the same

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HQSS and HFS predictions

HQSS implies the DD*(1++) interaction the same as D*D*(2++)

  • J. Nieves and M. Pavôn Valderrama, Phys. Rev. D 86, 056004 (2012).

Baru, V. et al., A.V., EPJ Web Conf. 137, 06002 (2017).

Not found HFS implies interaction between D(*)D(*) the same as B(*)B(*) Not found

  • C. Hidalgo-Duque et al., Phys. Rev. D 87, 076006 (2013).

Not found by CMS S. Chatrchyan et al., Physics Letters B 727, 57 (2013). ATLAS G. Aad et al., Physics Letters B 740, 199 (2015). Belle X. H. He et al., Phys. Rev. Lett. 113, 142001 (2014).

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HQSS and HFS breaking

OZI allowed decays couples one meson and two meson states strongly The quark model is appropriate for studying these effects: The 3P0 model gives a microscopic model for these

  • couplings. Fitted to strong decays

The quark-quark interaction gives the wave functions

  • f the mesons. Gives the form factors.

The Resonanting group method gives the interaction between mesons using the quark-quark interaction and meson wave functions. The Chiral quark model introduces pion-exchange interactions. Rearrangement process produces OZI suppressed decays

Interaction Rearrangement processes

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The X(3872)

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The X(3872) analogs

Including only open-charm and open-bottom channels No X(4012) is found Xb(1++) is close to bind and Xb(2++) is bounded

DRE et al., AIP Conf. Proc. 1735, 060006 (2016);

More refined calculation including other channels gives the same conclusion for the charmonium sector

P.G. Ortega et al., Phys.Lett. B778 (2018) 1

Why this discrepancies with HQSS and HFS?

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HQSS and HFS

Charmed mesons Bottom mesons

Heavy Quark Spin Symmetry and Heavy Flavor Symmetry is fulfilled by the model

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HQSS and HFS

Heavy Quark Spin Symmetry and Heavy Flavor Symmetry is fulfilled by the model

Charmed mesons Bottom mesons

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HQSS and HFS breaking

but

  • D. Ebert et al., The Eur. Phys. J. C 71, 1825 (2011)

S wave states:

Attraction Repulsion

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HQSS and HFS breaking

Charmonium Bottomonium

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HQSS and HFS breaking

  • E. Cincioglu et al., Eur. Phys. J. C 76, 576 (2016)

A systematic study of this effect has been performed at hadron level HQSS Hamiltonian for mesons Coupling with cc mesons is included

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HQSS breaking

Mass of the X(3872) is fixed varying d and C0X at the same time

cc2(2P) becomes a resonance that goes to SRS The molecular component of the X(3872) decreases

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HQSS breaking

Mass of the X(3872) is fixed varying d and C0X at the same time

The X(4012) disappears

Repulsion

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HFS breaking

Conclusion: the repulsion from the cbJ(3P) states is not so important and the two states could be found

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Threshold cusp

  • N. Cabibbo, Phys. Rev. Lett. 93, 121801 (2004)

Discontinuity of the amplitude due to the opening of a threshold Proposal to extract (a0-a2) pp scattering lengths due to the threshold cusp produce by the charge exchage reaction.

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Threshold cusp in pp

  • J. Batley et al., Physics Letters B 633, 173 (2006)
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The Zc and Zb as threshold cusps

F.-K. Guo et al., Phys. Rev. D 91, 051504R (2015) One-loop approximation is not justified and nearby poles appear

  • E. Swanson, Phys. Rev. D 91, 034009 (2015)
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Zc states in the CQM

Data from BESIII Phys. Rev. Lett. 119, 072001 (2017)

P.G. Ortega et al, Eur.Phys.J. C79 (2019) no.1, 78

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Zc states in the CQM

Data from BESIII Phys. Rev. D 92, 092006 (2015)

P.G. Ortega et al, Eur.Phys.J. C79 (2019) no.1, 78

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Zc states in the CQM

P.G. Ortega et al, Eur.Phys.J. C79 (2019) no.1, 78

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Triangle singularities

Singularities of a triangle diagram that can be not poles, but kinematical effects Normal threshold singularities Anomalous threshold singularities The width of the states makes the singularity move from the physical region Since they are kinematical effects they don’t need to be present in all channels as in the case of poles Singularities are given by the Landau equations

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The X(3872) binding energy

F.-K. Guo, Phys. Rev. Lett. 122, 202002 (2019) Proposal to measured the X(3872) binding energy with the triangle singularity Prove the long range properties of the X(3872)

Invariant mass of the X and g

The triangle singularity is close to threshold Binding energy of the X(3872)

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The X(3872) binding energy

The line shape Strongly depends on the binding energy Cusp fixed Peak fixed at

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The X(3872) binding energy

Montecarlo simulation to extract The binding energy of the X(3872)

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Summary

Symmetry breaking effects Small symmetry breaking effects in thresholds can induce interesting breaking effects Isospin violating decays: X(3872) and Pc(4457) Deviations from HQSS and HFS Threhold cusps Threshold openings induce enhancements in cross sections Big effects without nearby poles are debatable Triangle singularities Not present in all channels Can be used to measured the X(3872) binding energy

Thank you for your attention