Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrization for line shapes

Guo, Feng-Kun; Hanhart, C.; Kalashnikova, Yu. S.; Matuschek, P.; Mizuk, R.; Nefediev, A. V.; Wang, Q.; Wynen, Jan-Lukas

doi:10.1103/physrevd.93.074031

Cited by 84 publications

(116 citation statements)

References 79 publications

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“…On the other hand, a combined analysis of the experimental data in all seven channels listed in eqs. (1.1) consistent with analyticity and unitarity favours both Z b 's as virtual states located within approximately 1 MeV below the respective thresholds [17,18]. 2 In other words, the quality of the existing data does not allow one to draw definite conclusions about the pole locations of these states.…”

Section: Jhep06(2017)158mentioning

confidence: 89%

“…As soon as the analysis of refs. [17,18] is refined to include one-pion exchange interactions, the predictions for the partner states would have become possible directly from the fit for the experimental line shapes. However, a detailed investigation of the line shapes, which also calls for an inclusion of the inelastic channels, is delegated to future studies.…”

Section: Jhep06(2017)158mentioning

confidence: 99%

“…Clearly, as soon as the analysis of refs. [17,18] is refined to include one-pion exchange interactions, the predictions for the partner states could be refined further. Such a study, however, is beyond the scope of this paper.…”

Section: Jhep06(2017)158mentioning

confidence: 99%

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Spin partners of the Z b (10610) and Z b (10650) revisited

Baru

Epelbaum

Filin

et al. 2017

J. High Energ. Phys.

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We study the implications of the heavy-quark spin symmetry for the possible spin partners of the exotic states Z b (10610) and Z b (10650) in the spectrum of bottomonium. We formulate and solve numerically the coupled-channel equations for the Z b states that allow for a dynamical generation of these states as hadronic molecules. The force includes short-range contact terms and the one-pion exchange potential, both treated fully nonperturbatively. The strength of the potential at leading order is fixed completely by the pole positions of the Z b states so that the mass and the most prominent contributions to the width of the isovector heavy-quark spin partner states W bJ with the quantum numbers J ++ (J = 0, 1, 2) come out as predictions. In particular, we predict the existence of an isovector 2 ++ tensor state lying a few MeV below the B * B * threshold which should be detectable in the experiment. Since the accuracy of the present experimental data does not allow one to fix the pole positions of the Z b 's reliably enough, we also study the pole trajectories of their spin partner states as functions of the Z b binding energies. It is shown that, once the heavy-quark spin symmetry is broken by the physical B and B * mass difference, especially the pion tensor force has a significant impact on the location of the partner states clearly demonstrating the need of a coupled-channel treatment of pion dynamics to understand the spin multiplet pattern of hadronic molecules.

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Section: Jhep06(2017)158mentioning

confidence: 89%

Section: Jhep06(2017)158mentioning

confidence: 99%

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Spin partners of the Z b (10610) and Z b (10650) revisited

Baru

Epelbaum

Filin

et al. 2017

J. High Energ. Phys.

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“…In the meantime, the resulting effective equation (10) contains as small matrices as N e × N e while the other components of the t matrix refer to the matrices of the size N p × N p -see the details in Refs. [7,8]. In either case the rank of the matrices to be inverted can hardly exceed 2.…”

Section: Coupled-channel Problemmentioning

confidence: 99%

“…[7,8]. In what follows a simplified version of such a parametrisation will be used which is suitable for the data analysis for the 1 +− isovector states Z b (10610) and Z b (10650) found recently by the Belle Collaboration.…”

Section: Practical Parametrisationmentioning

confidence: 99%

Phenomenology of near-threshold states: a practical parametrisation for the line shapes

et al. 2017

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Abstract. In the last decade many states in the spectrum of charmonium and bottomonium have been observed experimentally above the lowest open-flavour threshold. Most of these states reside in the vicinity of strong thresholds and show properties that cannot be captured by simple quark models. Description and understanding of such exotic states is a challenge for the phenomenology of strong interactions, since it requires building adequate theoretical tools and approaches. In this work, a practical parametrisation for the line shapes of near threshold resonance(s) is derived in the framework of a coupledchannel model which includes an arbitrary number of elastic and inelastic channels as well as of bare pole terms. Parameters of the distribution have a direct relation to phenomenology and the resulting analytical parametrisation is therefore ideally suited to harvest the full information content provided by the measurements and to establish a link between the experimental data and their theoretical interpretation.

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Recoupling mechanism for exotic mesons and baryons

Simonov

2021

J. High Energ. Phys.

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The infinite chain of transitions of one pair of mesons (channel I) into another pair of mesons (channel II) can produce bound states and resonances in both channels even if no interactions inside channels exist. These resonances which can occur also in meson-baryon channels are called channel-coupling (CC) resonances. A new mechanism of CC resonances is proposed where transitions occur due to a rearrangement of confining strings inside each channel — the recoupling mechanism. The amplitude of this recoupling mechanism is expressed via overlap integrals of the wave functions of participating mesons (baryons). The explicit calculation with the known wave functions yields the peak at E = 4.12 GeV for the transitions $$ J/\psi +\phi \leftrightarrow {D}_s^{\ast }+{\overline{D}}_s^{\ast } $$ J / ψ + ϕ ↔ D s ∗ + D ¯ s ∗ , which can be associated with χc1 (4140), and a narrow peak at 3.98 GeV with the width 10 MeV for the transitions $$ {D}_s^{-}+{D}_0^{\ast}\leftrightarrow J/\psi +{K}^{\ast -} $$ D s − + D 0 ∗ ↔ J / ψ + K ∗ − , which can be associated with th recently discovered Zcs (3985).

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Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrization for line shapes

Cited by 84 publications

References 79 publications

Spin partners of the Z b (10610) and Z b (10650) revisited

Spin partners of the Z b (10610) and Z b (10650) revisited

Phenomenology of near-threshold states: a practical parametrisation for the line shapes

Recoupling mechanism for exotic mesons and baryons

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