Charmonium-like states with $J^{P}=1^{+}$ and isospin 1

Bibliographic Details
Title: Charmonium-like states with $J^{P}=1^{+}$ and isospin 1
Authors: Sadl, Mitja, Collins, Sara, Padmanath, M., Prelovsek, Sasa
Publication Year: 2022
Collection: High Energy Physics - Lattice
High Energy Physics - Phenomenology
Subject Terms: High Energy Physics - Lattice, High Energy Physics - Phenomenology
More Details: Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e.g. the $Z_c$ mesons with isospin 1. We investigate the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc \bar qq$ states with $J^{PC}=1^{+\pm}$ and isospin 1. This is the first study of four-quark states with these quantum numbers, a non-zero total momentum and two different lattice volumes. We extract the energy levels and determine the scattering length for $D\bar D^*$ scattering close to the threshold using L\"uscher's formalism. Our preliminary results show that the energy shifts for eigenstates dominated by $D\bar{D}^*$ are very small in the $1^{++}$ channel and consistent with zero in the $1^{+-}$ channel.
Comment: 9 pages, 2 figures, contribution to the 39th International Symposium on Lattice Field Theory (LATTICE2022)
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2212.04835
Accession Number: edsarx.2212.04835
Database: arXiv
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