A practical parametrization for line shapes of near-threshold states

Abstract

Numerous quarkonium(like) states lying near $S$-wave thresholds are observed experimentally. We propose a self-consistent approach to these near-threshold states compatible with unitarity and analyticity. The underlying coupled-channel system includes a bare pole and an arbitrary number of elastic and inelastic channels treated fully nonperturbatively. The resulting analytical parametrization is ideally suited for a combined analysis of the data available in various channels that is exemplified by an excellent overall description of the data for the charged $Z_b(10610)$ and $Z_b(10650)$ states.

LaTeX2e, 5 pages, 1 figure, typos corrected, version published in Phys. Rev. Lett

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• Revisiting the nature of the $P_c$ pentaquarks
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
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• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
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• Effective range expansion for narrow near-threshold resonances
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• Coupled-channel approach in hadron-hadron scattering
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• General considerations on the nature of $Z_b(10610)$ and $Z_b(10650)$ from their pole positions
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• The $X_0(2900)$ and its heavy quark spin partners in molecular picture
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• $P$-wave coupled channel effects in electron-positron annihilation
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• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
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