Possible S-wave Bound-States of Two Pseudoscalar Mesons

Abstract

Using the potentials derived from vector-meson-exchanges, the $K\bar{K}$, $DK$, $B\bar{K}$, $D\bar{D}$, $B\bar{B}$, $BD$, $\bar{D}K$, $BK$ and $B\bar{D}$ systems are studied. Possible S-wave bound-states of two pseudoscalar mesons are discussed. We find that systems of $DB$, $D\bar{D}$, $B\bar{B}$ and $DK$ with isospin 0 are likely to form S-wave bound states via strong interactions while the others are unlikely to be bound by the strong interaction sector alone. With the Coulomb potential, the $K^{+}{K}^{-}$ system can form an atomic bound state - the kaonium. The influence of the one-meson-exchange potential on the ground state energy of the kaonium and its decay widths to $\pi \pi$ and $\pi \eta$ are evaluated.

11 pages, 1 figure

References in corpus (23)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• Implications of a DK Molecule at 2.32 GeV
• The D*0 D0bar threshold resonance
• Molecular States of Heavy Quark Mesons
• B Decays as Spectroscope for Charmed Four-quark States
• Scalar Mesons in $\varphi$ Radiative Decay: their implications for spectroscopy and for studies of CP-violation at $\varphi$ factories
• Mass and $K\Lambda$ coupling of $N^{\ast }(1535)$
• Comment on "Mass and K Lambda coupling of N*(1535)"
• On the hidden charm state at 3872 MeV
• Possible Molecular Structure of the Newly Observed Y(4260)
• Production of scalar $K\bar{K}$ molecules in $\varphi$ radiative decays
• Lifetime of Kaonium
• New study of the isotensor pi-pi interaction
• Is the anomalous decay ratio of D_{sJ}(2632) due to isospin breaking?

Cited by in corpus (68)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Dynamically Generated Open and Hidden Charm Meson Systems
• A survey of heavy-heavy hadronic molecules
• Dynamically generated 1^+ heavy mesons
• Axial Resonances in the Open and Hidden Charm Sectors
• ${\Lambda }_{c}N$ bound states revisited
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Employing spin symmetry to disentangle different models for the XYZ states
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• Interpreting the $X(5568)$
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• How the X(5568) challenges our understanding of QCD
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• $J/\psi ({\eta }_c)N$ and ${\rm Y}({\eta }_b)N$ cross sections
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• The $X_0(2900)$ and its heavy quark spin partners in molecular picture
• $X(5568)$ and and its partner states
• Prediction of a $Z_c(4000)$ $D^{\ast }{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(4025)$
• 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
• Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^{\ast }(2317)$
• Is $Z_b(10610)$ a Molecular State?
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Bound state formation in the $DDK$ system
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
• Masses of open charm and bottom tetraquark states in a relativized quark model
• Hadron spectroscopy from strangeness to charm and beauty
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Radiative decay of the dynamically generated open and hidden charm scalar meson resonances D_{s0}^*(2317) and X(3700)
• $D\bar{D}$ production and their interactions
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Possible open-charmed pentaquark molecule ${\Omega }_c(3188)$ --- the $D\Xi$ bound state --- in the Bethe-Salpeter formalism
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Radiative decays of dynamically generated charmed baryons
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Hadronic-loop induced mass shifts in scalar heavy-light mesons
• Prediction of possible $D{K}_1$ bound states
• Reanalysis of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ reaction and the claim for the $Z_c(4025)$ resonance
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Predictions of the hidden-charm molecular states with four-quark component
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Electric transitions of the charmed-strange mesons in a relativistic quark model
• Possible charmed-strange molecular dibaryons
• Production of the $D_{s0}(2317)$ and $D_{s1}(2460)$ by kaon-induced reactions on a proton target
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Decay of kaonium in a chiral approach
• Predictions of α-decay half-lives for neutron-deficient nuclei with the aid of artificial neural network
• KKbar molecules with momentum-dependent interactions
• Manifestation of kaonium in the $e^{+}{e}^{-}\to K^{+}{K}^{-}$ process
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Triple-X and beyond: hadronic systems of three and more X(3872)
• Exotic open and hidden charm states
• Emergence of kaonium as a sharp resonance in photon-photon to meson-meson cross-sections
• Recent Developments on Hadron Interaction and Dynamically Generated Resonances
• Investigation of $K^{+}{K}^{-}$ pairs in the effective mass region near $2m_K$
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$