The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$

Abstract

Recently the LHCb collaboration reported a new exotic state $T_{cc}^{+}$ which is conjectured to be a molecular state of $D^0{D}^{\ast +}$ (or $D^{\ast 0}{D}^{+}$) theoretically. Belle Collaboration also searched for tetraquark state $X_{ccss}$ in $D_s{D}_s(D_s^{\ast }{D}_s^{\ast })$ final states but no significant signals were observed, which did not rule out the possibility of $X_{ccss}$ to be a molecular state of $D_s{D}_s(D_s^{\ast }{D}_s^{\ast })$. Inspired by these experimental results on double charmed exotic state, in this paper we study whether the molecular bound states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$ can exist with the Bethe-Salpeter (B-S) equation approach. We employ heavy meson chiral perturbation theory with one boson-exchange approximation to calculate the interaction kernels in the B-S equations. Our numerical results suggest that two $B_s^{\ast }$ mesons perhaps form a $0^{+}$ molecular state. Future experimental search for $X_{ccss}$ states in other decay channels may shed light on the structure of double charmed exotic state.

13 pages, 4 figures and 4 tables. arXiv admin note: substantial text overlap with arXiv:2112.14142

References in corpus (25)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• $T_{cc}^{+}$ and its partners
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• Newly observed exotic doubly charmed meson $T_{cc}^{+}$
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Is $Z_b(10610)$ a Molecular State?
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• Study on possible molecular states composed of ${\Lambda }_c\bar{D}$ (${\Lambda }_{b}B$) and ${\Sigma }_c\bar{D}$ (${\Sigma }_{b}B$) within the Bethe-Salpeter framework
• Search for tetraquark states $X_{cc\bar{s}\bar{s}}$ in $D_s^{+}{D}_s^{+}(D_s^{\ast +}{D}_s^{\ast +})$ final states at Belle

Cited by in corpus (3)

• Possible molecular states of ${\bar{D}}^{\ast }{K}^{\ast }$ ($D^{\ast }{K}^{\ast }$) and the new exotic states $X_0(2900)$ and $X_1(2900)$ ($T_{cs0}^a(2900{)}^0$ and $T_{cs0}^a(2900{)}^{++}$)
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules