A new group of doubly charmed molecule with $T$-doublet charmed meson pair

Abstract

Inspired by the observation of the doubly charmed tetraquark state $T_{cc}^{+}$ at the LHCb Collaboration, we systematically study the $S$-wave interactions between a pair of charmed mesons ($D_1,D_2^{\ast }$) in the $T$-doublet, where we adopt the one-boson-exchange model and consider both the $S$-$D$ wave mixing and coupled channel effects. Our numerical results suggest that the prime doubly charmed molecular tetraquark candidates are the $S$-wave $D_1{D}_1$ state with $I(J^P)=0(1^{+})$, the $S$-wave $D_1{D}_2^{\ast }$ states with $I(J^P)=0(1^{+},2^{+},3^{+})$, and the $S$-wave $D_2^{\ast }{D}_2^{\ast }$ states with $I(J^P)=0(1^{+},3^{+})$. The $S$-wave $D_1{D}_1$ state with $I(J^P)=1(2^{+})$, the $S$-wave $D_1{D}_2^{\ast }$ state with $I(J^P)=1(3^{+})$, and the $S$-wave $D_2^{\ast }{D}_2^{\ast }$ state with $I(J^P)=1(4^{+})$ may be the possible isovector doubly charmed molecular tetraquark candidates. We expect the experiments like the LHCb or Belle II collaborations to search for these predicted doubly charmed molecular tetraquarks near the $D_1{D}_1$, $D_1{D}_2^{\ast }$, and $D_2^{\ast }{D}_2^{\ast }$ thresholds in future.

14 pages, 7 tables, and 5 figures

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Cited by in corpus (15)

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• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
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• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
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• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Mass and decay width of $T_{ccs}$ from symmetries
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Predicting charmed-strange molecular tetraquarks with $K^{(\ast )}$ and $T$-doublet charmed or anticharmed meson
• Possible ${\bar{D}}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ and ${\Xi }_{cc}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ molecules as superflavor partners of $T_{cc}$