Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states

Abstract

In this work, we systematically study the $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing the direct and crossed one particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) at the vertices, we find only the isoscalar $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ systems can exist as bound states. This indicate that the $X(3872)$ and $T_{cc}^{+}$ could be accommodated as $I^G(J^{PC})=0^{+}(1^{++})$ $D{\bar{D}}^{\ast }$ and $(I)J^P=(0)1^{+}$ $D{D}^{\ast }$ molecular states while the molecular state explanations for $Z_b(10610)$ and $Z_c(3900)$ are excluded.

13 pages, 2 tables

References in corpus (29)

• Multiquark Resonances
• A survey of heavy-heavy hadronic molecules
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Isospin breaking, coupled-channel effects, and X(3872)
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• On the nature of near-threshold bound and virtual states
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• Discovery potentials of double-charm tetraquarks
• $QQ\bar{q}\bar{q}$ in a chiral constituent quark model
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• Predicting another doubly charmed molecular resonance $T_{cc}^{\prime +}(3876)$
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• The Doubly-heavy Tetraquarks ($q{q}^{\prime }\bar{Q}\overline{Q^{\prime }}$) in a Constituent Quark Model with a Complete Set of Harmonic Oscillator Bases
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• $D^0{D}^0{\pi }^{+}$ mass distribution in the production of the $T_{cc}$ exotic state
• Studying the $D_{1}D$ molecule in the Bethe-Salpeter equation approach
• Does the $J^{PC}=1^{+-}$ counterpart of the $X(3872)$ exist?

Cited by in corpus (15)

• An updated review of the new hadron states
• A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states
• 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
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly heavy tetraquark states in a mass splitting model
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Development of Bethe-Salpeter theory for dealing with unstable system
• Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$