Discovery of the doubly charmed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:math> state implies a triply charmed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>H</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math> hexaquark state
Tian-Wei Wu, Y. Pan, Ming-Zhu Liu, Si-Qiang Luo, Li‐Sheng Geng, Xiang Liu
Abstract
The doubly charmed exotic state ${T}_{cc}$ recently discovered by the LHCb Collaboration could well be a $D{D}^{*}$ molecular state long predicted in various theoretical models, in particular, the $D{D}^{*}$ isoscalar axial vector molecular state predicted in the one-boson-exchange model. In this work, we study the $DD{D}^{*}$ system in the Gaussian expansion method with the $D{D}^{*}$ interaction derived from the one-boson-exchange model and constrained by the precise binding energy of $273\ifmmode\pm\else\textpm\fi{}63\text{ }\text{ }\mathrm{keV}$ of ${T}_{cc}$ with respect to the ${D}^{*+}{D}^{0}$ threshold. We show the existence of a $DD{D}^{*}$ state with a binding energy of a few hundred keV, isospin $1/2$, and spin-parity ${1}^{\ensuremath{-}}$. Its main decay modes are $DDD\ensuremath{\pi}$ and $DDD\ensuremath{\gamma}$. The existence of such a state could in principle be confirmed with the upcoming LHC data and will unambiguously determine the nature of the ${T}_{cc}^{+}$ state and of the many exotic states of similar kind, thus deepening our understanding of the nonperturbative strong interaction.