Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory

Abstract

We calculate the effective potentials of the ${\Xi }_c{\bar{D}}^{(\ast )}$, ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\ast }{\bar{D}}^{(\ast )}$ systems with the chiral effective field theory up to the next-to-leading order. We simultaneously consider the short-, intermediate- and long-range interactions. With the newly observed $P_c$ spectra as inputs, we construct the quark-level contact Lagrangians to relate the low energy constants to those of ${\Sigma }_c{\bar{D}}^{(\ast )}$ with the help of quark model. Our calculation indicates there are seven bound states in the $I=0$ strange hidden charm $[{\Xi }_c^{\prime }{\bar{D}}^{(\ast )}{]}_J(J=\frac{1}{2},\frac{3}{2})$ and $[{\Xi }_c^{\ast }{\bar{D}}^{(\ast )}{]}_J(J=\frac{1}{2},\frac{3}{2},\frac{5}{2})$ systems. Our analyses also disfavor the ${\Lambda }_c{\bar{D}}^{(\ast )}$ bound states. However, we obtain three new hadronic molecules in the isoscalar $[{\Xi }_c{\bar{D}}^{(\ast )}{]}_J(J=\frac{1}{2},\frac{3}{2})$ systems. The masses of $[{\Xi }_c\bar{D}{]}_{1/2}$, $[{\Xi }_c{\bar{D}}^{\ast }{]}_{1/2}$ and $[{\Xi }_c{\bar{D}}^{\ast }{]}_{3/2}$ are predicted to be $4319.4_{-3.0}^{+2.8}$ MeV, $4456.9_{-3.3}^{+3.2}$ MeV and $4463.0_{-3.0}^{+2.8}$ MeV, respectively. We also notice the one-eta-exchange influence is rather feeble. Binding solutions in the $I=1$ channels are nonexistent. We hope the future analyses at LHCb can seek for these new $P_{cs}$s in the $J\psi \Lambda$ final states, especially near the thresholds of ${\Xi }_c{\bar{D}}^{(\ast )}$.

9 pages, 2 figures, and 4 tables

References in corpus (15)

• Chiral effective field theory and nuclear forces
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• A possible global group structure for exotic states
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory

Cited by in corpus (66)

• An updated review of the new hadron states
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Establishing the first hidden-charm pentaquark with strangeness
• Systematics of the heavy flavor hadronic molecules
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Strong decays of the newly $P_{cs}(4459)$ as a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecule
• Magnetic moments of the hidden-charm strange pentaquark states
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• New strange pentaquarks
• Prediction of hidden-charm pentaquarks with double strangeness
• Investigation of hidden-charm pentaquarks with strangeness $S=-1$
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Hidden-charm pentaquarks with triple strangeness due to the ${\Omega }_c^{(\ast )}{\bar{D}}_s^{(\ast )}$ interactions
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Spectrum of the molecular pentaquarks
• Heavy flavor molecular states with strangeness
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• 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
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
• Hidden-flavor pentaquarks
• Spectrum of the molecular hexaquarks
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
• Insights into the nature of the $P_{cs}(4459)$
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Exotic Heavy Hadrons
• Octet baryon and heavy meson interactions in chiral effective field theory
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Exotic hadrons associated with $b$-quark
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton