The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction

Abstract

In this work, we propose a possible assignment of the newly observed $X(2239)$, as well as the $\eta (2225)$, as a molecular state from the interaction of a baryon $\Lambda$ and an antibaryon $\bar{\Lambda }$. With the help of effective Lagrangians, the $\Lambda \bar{\Lambda }$ interaction is described within the one-boson-exchange model with $\eta$, ${\eta }^{\prime }$, $\omega$, $\varphi$, and $\sigma$ exchanges considered. After inserting the potential kernel into the quasipotential Bethe-Salpeter equation, the bound states from the $\Lambda \bar{\Lambda }$ interaction can be studied by searching for the pole of the scattering amplitude. Two loosely bound states with spin parities $I^G(J^{PC})=0^{+}(0^{-+})$ and $0^{-}(1^{--})$ appear near the threshold almost with the same parameter. The $0^{-}(1^{--})$ state can be assigned to the $X(2239)$ observed at BESIII, which is very close to the $\Lambda \bar{\Lambda }$ threshold. The scalar meson $\eta (2225)$ can be interpreted as a $0^{+}(0^{-+})$ state from the $\Lambda \bar{\Lambda }$ interaction. The annihilation effect is also discussed through a coupled-channel calculation plus a phenomenological optical potential. It provides large widths to two bound states produced from the $\Lambda \bar{\Lambda }$ interaction. The mass of the $1^{-}$ state is a little larger than the mass of the $0^{-}$ state after including the annihilation effect, which is consistent with our assignment of these two states as $X(2239)$ and $\eta (2225)$, respectively. The results suggest that further investigation is expected to understand the structures near the $\Lambda \bar{\Lambda }$ threshold, such as $X(2239)$, $\eta (2225)$, and $X(2175)$.

arXiv comment2 figures, 6 pages

References in corpus (69)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Final State Interactions in Hadronic B Decays
• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Identifying exotic hidden-charm pentaquarks
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and the LHCb hidden-charmed pentaquarks
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$ as the $B^{\ast }\bar{B}$ and $B^{\ast }{\bar{B}}^{\ast }$ molecular states
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• Discovery Potentials of Doubly Charmed Baryons
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• $\Lambda \Lambda$ and N$\Xi$ interactions from Lattice QCD near the physical point
• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• New Hadron States
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• Observation of the $\varphi (1680)$ and the Y(2175) in $e^{+}{e}^{-}\to \varphi {\pi }^{+}{\pi }^{-}$
• The antinucleon-nucleon interaction at low energy : annihilation dynamics
• A New State of Baryonium
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• A Candidate for $1^{--}$ Strangeonium Hybrid
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Higher Tetraquark Particles
• Possible Deuteron-like Molecular States Composed of Heavy Baryons
• Measurement of $e^{+}{e}^{-}\to K^{+}{K}^{-}$ cross section at $\sqrt{s}=2.00-3.08$ GeV
• Paris nucleon-antinucleon potential constrained by recent antiprotonic-atom data and antineutron-proton total cross sections
• Antiproton-Proton Channels in J/psi Decays
• The Y(2175) State in the QCD Sum Rule
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• Combined Description of $\overline{\mathbf{N}}\mathbf{N}$ Scattering and Annihilation With A Hadronic Model
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• $Z_c(4025)$ as the hadronic molecule with hidden charm
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Reconciling the X(4630) with the Y(4660)
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• Selected strong decays of $\eta (2225)$ and $\varphi (2170)$ as $\Lambda \bar{\Lambda }$ bound states
• Baryonium with a phenomenological skyrmion-type potential
• The meson-exchange model for the $\Lambda \bar{\Lambda }$ interaction
• Covariant spectator theory of np scattering: Effective range expansions and relativistic deuteron wave functions
• The open-charm radiative and pionic decays of molecular charmonium Y(4274)
• New structure around 3250 MeV in the baryonic B decay and the $D_0^{\ast }(2400)N$ molecular hadron
• Observation of a vector charmoniumlike state in $e^{+}{e}^{-}\to D_s^{+}{D}_{s1}(2536{)}^{-}+c.c.$
• Discussions on the Line-shape of $X(4660)$ Resonance
• The $\eta (2225)$ observed by the BES Collaboration
• ϕK^{+}K^{-} production in electron-positron annihilation
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Study on the rare decays of $Y(4630)$ induced by final state interactions
• η transitions between charmonia with meson loop contributions
• Antiproton physics
• Final State Interactions in Hadronic B Decays
• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• The Octet Meson and Octet Baryon Interaction with strangeness and the $\Lambda (1405)$
• Partial wave analysis of J/ψ\to γϕϕ
• Extended-soft-core Baryon-Baryon ESC08 model III. S=-2 Hyperon-hyperon/nucleon Interaction
• Light axial-vector and vector resonances $X(2100)$ and $X(2239)$
• Reconciling the X(2240) with the Y(2175)
• Production of $\varphi (2170)$ and $\eta (2225)$ in a kaon induced reaction
• Recent BES Results on Hadron Spectroscopy

Cited by in corpus (8)

• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Light baryonium spectrum
• Electromagnetic form factors of $\Lambda$ hyperon in the vector meson dominance model and a possible explanation of the near-threshold enhancement of the $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$ reaction
• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• Possible charmed-strange molecular dibaryons
• Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$
• Possible molecular states from interactions of charmed baryons
• Investigation of meson-meson interaction