Studying the ${\bar{D}}_{1}K$ molecule in the Bethe-Salpeter equation approach

Abstract

We interpret the $X_1(2900)$ as an $S$-wave ${\bar{D}}_{1}K$ molecular state in the Bethe-Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the verties, we find the bound state exists. We also study the decay width of the decay $X_1(2900)$ to $D^{-}{K}^{+}$.

arXiv comment13 pages, 4 figures. arXiv admin note: text overlap with arXiv:2004.14085, arXiv:1906.09002

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Cited by in corpus (11)

• An updated review of the new hadron states
• Hadronic molecules in B decays
• Color flux-tube nature of the states $T_{cs}(2900)$ and $T_{c\bar{s}}^a(2900)$
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Searching for $X_0(2900)$ and $X_1(2900)$ through the kaon induced reactions
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Possible open charm molecular pentaquarks from ${\Lambda }_c{K}^{(\ast )}/{\Sigma }_c{K}^{(\ast )}$ interactions
• $D_1(2420)$ and its interactions with a kaon: open charm states with strangeness
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Exotic hadrons associated with $b$-quark
• Predicting charmed-strange molecular tetraquarks with $K^{(\ast )}$ and $T$-doublet charmed or anticharmed meson