Signature of a Doubly Charm Tetraquark Pole in DD* Scattering on the Lattice

Autor: M. Padmanath, S. Prelovsek
Rok vydání: 2022
Předmět:
Zdroj: Physical Review Letters
ISSN: 1079-7114
0031-9007
DOI: 10.1103/physrevlett.129.032002
Popis: The doubly charm tetraquark with flavor $cc\bar u\bar d$ and isospin $I\!=\!0$ is investigated by calculating the $DD^*$ scattering amplitude with lattice QCD. The simulation is done on CLS ensembles with dynamical $u/d,s$ quarks and $m_\pi\simeq 280~$MeV for two charm quark masses, one slightly larger and one slightly lower than the physical value. The scattering amplitudes for partial waves $l=0,1$ are extracted near-threshold via the L\"uscher's method by considering systems with total momenta $PL/(2\pi)=0,1,\sqrt{2},2$ on two spatial volumes. A virtual bound state pole in the $DD^*$ scattering amplitude with $l=0$ is found $9.9_{-7.1}^{+3.6}~$MeV below $DD^*$ threshold for the charm quark mass closer to the physical value. This pole is likely related to the doubly charm tetraquark discovered by LHCb less than $1~$MeV below $D^0D^{*+}$ threshold. Future lattice simulations closer to the continuum limit and physical quark masses would be valuable to establish this connection systematically.
Comment: version to appear in Phys.Rev.Lett. 6(+6) pages; 4(+6) figures; 2(+1) tables; Modified and extended discussions, supplemental material and video file. Results and conclusions unchanged
Databáze: OpenAIRE