Charmonium-like resonances in coupled $D \bar D$-$D_s \bar D_s$ scattering

S. Prelovsek; S. Collins; D. Mohler; M. Padmanath; S. Piemonte

Charmonium-like resonances in coupled $D \bar D$-$D_s \bar D_s$ scattering

High Energy Physics - Lattice 2021-11-18 v2 High Energy Physics - Phenomenology

Authors: S. Prelovsek , S. Collins , D. Mohler , M. Padmanath , S. Piemonte

Abstract

Charmonium-like resonances and bound states with isospin zero and $J^{PC}=0^{++},~1^{--},~2^{++},~3^{--}$ are extracted on the lattice. Coupled $D\bar D$ and $D_s\bar D_s$ scattering suggests three charmonium-like states with $J^{PC}=0^{++}$ in addition to $\chi_{c0}(1P)$ : a so far unobserved $D\bar D$ bound state just below threshold, a conventional resonance likely related to $\chi_{c0}(3860)/\chi_{c0}(2P)$ and a narrow resonance just below the $D_s\bar D_s$ threshold with a large coupling to $D_s\bar D_s$ likely related to $X(3915)/\chi_{c0}(3930)$ . One-channel $D\bar D$ scattering renders resonances and bound states with $J^{PC}= 1^{--},~2^{++},~3^{--}$ related to the observed conventional charmonia. Lattice QCD ensembles from the CLS consortium with $m_{\pi}\simeq 280$ MeV are utilized.

Keywords

charmonium-like resonances lattice QCD coupled scattering bound states heavy quark physics

Cite

@article{arxiv.2111.02934,
  title  = {Charmonium-like resonances in coupled $D \bar D$-$D_s \bar D_s$ scattering},
  author = {S. Prelovsek and S. Collins and D. Mohler and M. Padmanath and S. Piemonte},
  journal= {arXiv preprint arXiv:2111.02934},
  year   = {2021}
}

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9 pages, talk presented at LATTICE2021, July 2021, v2: affiliations modified

Charmonium-like resonances in coupled $D \bar D$-$D_s \bar D_s$ scattering

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