Investigating new type of doubly charmed molecular tetraquarks composed of charmed mesons in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>H</mml:mi></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:math> doublets

Abstract

Stimulated by the newly reported doubly charmed tetraquark state ${T}_{cc}^{+}$ by LHCb, we carry out a systematic investigation of the $S$-wave interactions between the charmed meson ($D$, ${D}^{*}$) in $H$-doublets and the charmed meson (${D}_{1}$, ${D}_{2}^{*}$) in $T$-doublets by adopting the one-boson exchange model. Both the $S$-$D$ wave mixing effect and the coupled channel effect are taken into account. By performing a quantitative calculation, we suggest that the $S$-wave ${D}^{*}{D}_{1}$ states with $I({J}^{P})=0({0}^{\ensuremath{-}},{1}^{\ensuremath{-}})$ and the $S$-wave ${D}^{*}{D}_{2}^{*}$ states with $I({J}^{P})=0({1}^{\ensuremath{-}},{2}^{\ensuremath{-}})$ should be viewed as the most promising candidates of the doubly charmed molecular tetraquark states, and the $S$-wave $D{D}_{1}$ state with $I({J}^{P})=0({1}^{\ensuremath{-}})$ and the $S$-wave $D{D}_{2}^{*}$ state with $I({J}^{P})=0({2}^{\ensuremath{-}})$ are the possible doubly charmed molecular tetraquark candidates. With the accumulation of experimental data at Run III and after a High-Luminosity LHC upgrade, these predicted doubly charmed molecular tetraquark states can be accessible at LHCb in the near future.

Topics & Concepts