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