Investigating $S$-wave bound states composed of two pseudoscalar mesons

Abstract

In this work, we systematically investigate the two-pseudoscalar meson systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations. By solving the Bethe-Salpeter equation numerically with the kernel containing the one-particle exchange diagrams, we find that the $K\bar{K}$, $DK$, $B\bar{K}$, $D\bar{D}$, $B\bar{B}$, $BD$, $D\bar{K}$, $BK$, and $B\bar{D}$ systems with $I=0$ can exist as bound states. We also study the contributions from heavy meson ($J/\psi$ and ${\rm Y}$) exchanges, and we find that the contribution from heavy meson exchange can not be ignored.

arXiv comment12 pages, 1 table, 3 figures

References in corpus (55)

• Hadronic molecules
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• Chiral Multiplets of Heavy-Light Mesons
• Evidence that the a0(980) and f0(980) are not elementary particles
• Dynamically Generated Open and Hidden Charm Meson Systems
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• X(3872) and Other Possible Heavy Molecular States
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Properties of Excited Charm and Charm-Strange Mesons
• Open-charm meson resonances with negative strangeness
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Description of the $D_s^{\ast }(2320)$ resonance as the $D\pi$ atom
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Exotic mesons with double charm and bottom flavor
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• Exotic mesons with hidden bottom near thresholds
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• $Z_b/Z_b^{\prime }\to {\rm Y}\pi$ and $h_b\pi$ decays in intermediate meson loops model
• Molecular structure of the Bs0*(5725) and Bs1(5778) bottom-strange mesons
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• 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
• Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• Prediction of a $Z_c(4000)$ $D^{\ast }{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(4025)$
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• Finite width effects in ϕradiative decays
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• Is the exotic $X(5568)$ a bound state?
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• $B^0\to D^0{\bar{D}}^0{K}^0$, $B^{+}\to D^0{\bar{D}}^0{K}^{+}$ and the scalar $D\bar{D}$ bound state
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Three methods to detect the predicted $D\bar{D}$ scalar meson X(3700)
• Possible $B^{(\ast )}\bar{K}$ hadronic molecule state
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Search for a $D\bar{D}$ bound state in the ${\Lambda }_b\to \Lambda D\bar{D}$ process
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Possible hadronic molecular states composed of $S$-wave heavy-light mesons
• Studying the $D_{1}D$ molecule in the Bethe-Salpeter equation approach
• Studying the bound state of the $B\bar{K}$ system in the Bethe-Salpeter formalism