Signature of a doubly charm tetraquark pole in $DD^*$ scattering on the lattice

TL;DR

This study uses lattice QCD to investigate the $ccar uar d$ tetraquark, revealing a virtual bound state pole near the $DD^*$ threshold, supporting the existence of a doubly charm tetraquark.

Contribution

First lattice QCD calculation of $ccar uar d$ scattering amplitude identifying a virtual bound state pole near threshold.

Findings

Detected a virtual bound state pole 9.9 MeV below $DD^*$ threshold.

Found the pole likely related to the LHCb-detected doubly charm tetraquark.

Results suggest the tetraquark exists near the physical quark mass.

Abstract

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.