Speaker
Description
I present an update on our ongoing study of the $T_{cc}^+$, based on two CLS ensembles (X252 and X253) for which $M_\pi\approx 280\,$MeV. We have determined the spectra for $DD\pi$ ($I=0$), as well as the subchannels $DD$ ($I=1$) and $D\pi$ ($I=1/2$), using a range of operators in several frames and irreps. We fit these using a combination of two- and three-particle quantization conditions, with the primary aim being a determination of properties of the $DD^*$ system. The lightest $DD^*$ states lie below the $DD^*$ left-hand cut due to $u$-channel pion exchange, and thus cannot be described by the Luscher version of the two-particle quantization. The three-particle formalism incorporates the pion exchange, and we present the present status of our results using this methodology.