Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory

Abstract

We perform a systematic study on the interactions of the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems within the framework of chiral effective field theory. We introduce the contact term, one-pion-exchange and two-pion-exchange contributions to describe the short-, long-, and intermediate-range interactions. The low energy constants of the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems are estimated from the $N\bar{N}$ scattering data by introducing a quark level Lagrangian. With three solutions of LECs, all the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems with isospin $I=1/2$ can form bound states, in which different inputs of LECs may lead to distinguishable mass spectra. In addition, we also investigate the interactions of the charmed-bottom ${\Sigma }_c^{(\ast )}{\bar{B}}^{(\ast )}$, ${\Sigma }_b^{(\ast )}{D}^{(\ast )}$, and ${\Sigma }_b^{(\ast )}{\bar{B}}^{(\ast )}$ systems. Among the obtained bound states, the bindings become deeper when the reduced masses of the corresponding systems are heavier.

12 pages, 8 figures, 9 tables. Happy Spring Festival!

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Cited by in corpus (22)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• Systematics of the heavy flavor hadronic molecules
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Magnetic moments of the hidden-charm strange pentaquark states
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• How to understand the $X(2900)$?
• Doubly charmed molecular pentaquarks
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectrum of the molecular pentaquarks
• Heavy flavor molecular states with strangeness
• Electromagnetic properties of doubly heavy pentaquark states
• Fully-charm and -bottom pentaquarks in a Lattice-QCD inspired quark model
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Doubly charmed pentaquark states in QCD sum rules
• Spectrum of the molecular hexaquarks
• Prediction of five-flavored pentaquarks
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Doubly-charmed pentaquark states in a mass splitting model
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$