Hidden-charm Pentaquark States Research Articles

Analysis of the isospin eigenstate D¯Σc\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\bar{D} \\Sigma _c$$\\end{document}, D¯∗Σc\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\bar{D}^{*} \\Sigma _c$$\\end{document}, and D¯Σc∗\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\bar{D} \\Sigma _c^{*}$$\\end{document} pentaquarks by their electromagnetic properties

To shed light on the nature of the controversial and not yet fully understood exotic states, we are carrying out a systematic study of their electromagnetic properties. The magnetic moment of a hadron state is as fundamental a dynamical quantity as its mass and contains valuable information on the deep underlying structure. In this study, we use the QCD light-cone sum rule to extract the magnetic moments of the Pc(4312)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {P_{c}(4312)}$$\\end{document}, Pc(4380)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {P_{c}(4380)}$$\\end{document}, and Pc(4440)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {P_{c}(4440)}$$\\end{document} pentaquarks by considering them as the molecular picture with spin-parity JP=12-\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {J^P= \\frac{1}{2}^-}$$\\end{document}, JP=32-\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {J^P= \\frac{3}{2}^-}$$\\end{document}, and JP=32-\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathrm {J^P= \\frac{3}{2}^-}$$\\end{document}, respectively. We define the isospin of the interpolating currents of these states, which is the key to solving the puzzle of the hidden-charm pentaquark states, to make these analyses more precise and reliable. We have compared our results with other theoretical predictions that could be a useful complementary tool for the interpretation of the hidden-charm pentaquark sector, and we observe that they are not in mutual agreement with each other. We have also calculated higher multipole moments for spin-3/2 D¯∗Σc\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\bar{D}^{*} \\Sigma _c$$\\end{document} and D¯Σc∗\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\bar{D} \\Sigma _c^{*}$$\\end{document} pentaquarks, indicating a non-spherical charge distribution.

Production of hidden-heavy and double-heavy hadronic molecules at the Z factory of CEPC

With a clean environment and high collision energy, the Circular Electron Positron Collider (CEPC) would be an excellent facility for heavy flavor physics. Using the Monte Carlo event generator ythia, we simulate the production of the charmed (bottom) hadron pairs in the electron-positron collisions at the Z factory of CEPC, and the inclusive production rates for typical candidates of the hidden/double-charm and hidden/double-bottom S-wave hadronic molecules are estimated at an order-of-magnitude level with the final state interactions after the hadron pair production. The predicted cross sections for the hidden-charm meson-meson molecules X(3872) and Zc(3900) are at pb level, which are about two to three orders of magnitude larger than the production cross sections for the double-charm meson-meson molecules Tcc and Tcc*, as the double-charmed ones require the production of two pairs of cc¯ from the Z boson decay. The production cross sections for the hidden-charm pentaquark states Pc and Pcs as meson-baryon molecules are a few to tens of fb, which are about one magnitude larger than those of the possible hidden-charm baryon-antibaryon and double-charm meson-baryon molecules. In the bottom sector, the production cross sections for the Zb states as B(*)B¯* molecules are about tens to hundreds of fb, indicating 106–107 events from a two-year operation of CEPC, and the expected events from the double-bottom molecules are about 2–5 orders of magnitude smaller than the Zb states. Our results shows great prospects of probing heavy exotic hadrons at CEPC. Published by the American Physical Society 2024

Molecular pentaquark magnetic moments in heavy pentaquark chiral perturbation theory

We propose a new heavy pentaquark chiral perturbation theory for the recently observed hidden-charm pentaquark states by LHCb Collaboration. With the pentaquark chiral Lagrangians, we present a parameter-free calculation of the octet molecular pentaquark magnetic moments up to one-loop level. We improve the quark model description of the data when we include the leading SU(3) breaking effects coming from the one-loop corrections. Without any experimental inputs, our predictions are so simple and unique that we regard them as a theoretical benchmark to be compared with experiments as well as other theoretical models. Published by the American Physical Society 2024

Magnetic moments and axial charges of the octet hidden-charm molecular pentaquark family

In this work, we calculate the magnetic moment and axial charge of the octet hidden-charm molecular pentaquark family in quark model. The Coleman-Glashow sum rule for the magnetic moments of pentaquark family is always fulfilled independently of SU(3) symmetry breaking. In the 82f flavor representation, the magnetic moments of hidden-charm molecular pentaquark states with spin configuration JP=12−(12+⊗0−) are all equal to μc=0.38μN. The axial charges of octet hidden-charm molecular pentaquark states are quite small compared to the axial charge of nucleon. The axial charges of the pentaquark states with the spin configuration JP=12−(12+⊗0−) in 82f flavor representation are all zero. Published by the American Physical Society 2024

Production of PψsΛ(4338) from Ξb decay

In the present work, we investigate the production of the newly observed PψsΛ(4338) state in Ξb− decay, where the PψsΛ(4338) is assigned as a ΞcD¯ molecular state. By using an effective Lagrangian approach, we evaluate the branching fractions of Ξb−→PψsΛ(4338)K− via the triangle loop mechanism. The branching fractions of Ξb−→PψsΛ(4338)K− are in the order of 10−4; the result is compared with our previous work of Ξb−→PψsΛ(4459)K−. We also predict the ratio of PψsΛ(4459) and PψsΛ(4338) productions in the decay Ξb−→PψsΛK−→J/ψΛK−. The predicted branching fractions and their ratios could be tested experimentally, which may be helpful for understanding the molecular picture of PψsΛ(4338) as well as other hidden-charm pentaquark states with strangeness. Moreover, the experimental potential of observing PψsΛ(4338) in the Ξb−→K−J/ψΛ is discussed. Published by the American Physical Society 2024

Analysis of the hidden-charm pentaquark states based on magnetic moment and transition magnetic moment

In this work, we calculate the magnetic moments of the PψN0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$P^{N^{0}}_{\\psi }$$\\end{document} states and PψΔ0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$P^{\\Delta ^{0}}_{\\psi }$$\\end{document} states with valence quark content c¯cudd\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${\\bar{c}}cudd $$\\end{document} in molecular model, diquark–diquark–antiquark model and diquark–triquark model, as well as the transition magnetic moments in the molecular model. At the same time, we also calculate magnetic moments and transition magnetic moments of PψΔ++\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$P^{\\Delta ^{++}}_{\\psi }$$\\end{document} states and PψΔ-\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$P^{\\Delta ^{-}}_{\\psi }$$\\end{document} states in the molecular model as additional products. Our results show that in the diquark–diquark–antiquark model, the magnetic moments of λ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\lambda $$\\end{document} excitation state are usually larger than the magnetic moments of ρ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\rho $$\\end{document} excitation state. We find some interesting proportional relationships between the expressions of transition magnetic moments. The results provide important insights for future experimental observation of hidden-charm pentaquark states and help to distinguish their inner structures. With these efforts, our understanding of the properties for the hidden-charm pentaquark states will become more abundant.

Hidden-Charm Pentaquarks with Strangeness in a Chiral Quark Model

The LHCb collaboration has recently announced the discovery of two hidden-charm pentaquark states with strange quark content, Pcs(4338) and Pcs(4459); its analysis points towards having both hadrons’ isospins equal to zero and spin-parity quantum numbers 12− and 32−, respectively. Herein, we perform a systematical investigation of the qqscc¯(q=u,d) system by means of a chiral quark model, along with a highly accurate computational method, the Gaussian expansion approach combined with the complex scaling technique. baryon-meson configurations in both singlet- and hidden-color channels are considered. The Pcs(4338) and Pcs(4459) signals can be well identified as molecular bound states with dominant components ΛJ/ψ(60%) and ΞcD(23%) for the lowest-energy case and ΞcD∗(72%) for the highest-energy one. In addition, it seems that some narrow resonances can also be found in each allowed I(JP) channel in the energy region of 4.6–5.5 GeV, except for the 1(12−) channel where a shallow bound state with dominant Ξc∗D∗ structure is obtained at 4673 MeV with binding energy EB=−3 MeV. These exotic states are expected to be confirmed in future high-energy experiments.

Elucidating the nature of hidden-charm pentaquark states with spin-[formula omitted] through their electromagnetic form factors

We perform a systematic study of the electromagnetic properties of exotic states to shed light on their nature, which is still controversial and not fully understood. The magnetic dipole and higher multipole moments of a hadronic state are as fundamental a dynamical quantity as its mass, and they contain valuable information about the deep structure underlying it. In the present work, we have explored the magnetic dipole and higher multipole moments of the hidden-charm pentaquarks with quantum number JP=3/2− using the QCD light-cone sum rule method and different interpolating currents. The obtained results show that different interpolating currents employed to probe pentaquarks with the same quark content produce varying results for their magnetic dipole and higher multipole moments at all. This can be interpreted to mean that there is more than one hidden-charm pentaquark with identical quark content but with different magnetic dipole and higher multipole moments. The nature, internal structure, and quark-gluon configurations of these states can be better understood by studying their electromagnetic properties.

Spectroscopic analysis of hidden-charm pentaquarks

In this work, the multiquark approach is used to analyze the spectroscopy of hidden-charm pentaquark states, motivated by recent discoveries at the LHCb collaboration. Using the SU(3) flavor representation, pentaquarks having J P = 5/2− are arranged into 10 (decuplet) of the SU(3) flavor multiplets. The masses of pentaquarks are calculated using the extension of the Gursey–Radicati mass formula and the effective mass scheme. Also, we calculated the magnetic moments of the hidden-charm pentaquarks using the effective mass and shielded charge technique. Further, we suggested the possible production modes for J P = 5/2− pentaquarks from the decay of bottom baryons, which consist of pentaquark states as intermediate states. Our results for masses demonstrate reasonable agreement with the available data and our analysis for both masses and magnetic moments may be useful for future experimental studies.

Two-Body Hadronic Weak Decays of Bottomed Hadrons

The structure of light diquarks plays a crucial role in formation of exotic hadrons beyond the conventional quark model, especially with regard to the line shapes of bottomed hadron decays. We study the two-body hadronic weak decays of bottomed baryons and bottomed mesons to probe the light diquark structure and to pin down the quark–quark correlations in the diquark picture. It is found that the light diquark does not favor a compact structure. For instance, the isoscalar diquark [ud] in Λb0 can be easily split and rearranged to form Σc(*)D¯(*) via the color-suppressed transition. This provides a hint that the hidden charm pentaquark states produced in Λb0 decays could be the Σc(*)D¯(*) hadronic molecular candidates. This quantitative study resolves the apparent conflicts between the production mechanism and the molecular nature of these Pc states observed in experiment.

Hidden-charm pentaquark states in a mass splitting model

Hidden-charm pentaquark states in a mass splitting model

Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules

The semi-inclusive electroproduction of exotic hadrons, including the $T_{cc}$, $P_{cs}$, and hidden-charm baryon-antibaryon states, is explored under the assumption that they are $S$-wave hadronic molecules of a pair of charmed hadrons. We employ the Monte Carlo event generator Pythia to produce the hadron pairs and then bind them together to form hadronic molecules. With the use of such a production mechanism, the semi-inclusive electroproduction rates are estimated at the order-of-magnitude level. Our results indicate that a larger number of $P_{cs}$ states and $\Lambda_c\bar{\Lambda}_c$ molecules can be produced at the proposed electron-ion colliders in China (EicC) and in the US (EIC). The results also suggest that the $T_{cc}$ states and other hidden-charm baryon-antibaryon states can be searched for at EIC. Besides, the potential 24-GeV upgrade of the Continuous Beam Accelerator Facility at the Thomas Jefferson National Accelerator Facility can play an important role in the search for the hidden-charm tetraquark and pentaquark states due to its high luminosity.

Search for hidden-charm pentaquark states in three-body final states

The three pentaquark states, P_c(4312), P_c(4440) and P_c(4457), discovered by the LHCb Collaboration in 2019, are often interpreted as {bar{D}}^{(*)}Sigma _c molecules. Together with their four {bar{D}}^{(*)}Sigma _{c}^{*} partners dictated by heavy quark spin symmetry they represent a complete multiplet of hadronic molecules of {bar{D}}^{(*)}Sigma _{c}^{(*)}. The pentaquark states were observed in the J/psi p invariant mass distributions of the Lambda _brightarrow J/psi p K decay. It is widely recognized that to understand their nature, other discovery channels play an important role. In this work, we investigate two three-body decay modes of the {bar{D}}^{(*)}Sigma _{c}^{(*)} molecules. The tree-level modes proceed via off-shell Sigma _{c}^{(*)} baryons, {bar{D}}^{(*)}Sigma _{c}^{(*)} rightarrow {bar{D}}^{(*)}left( Sigma _{c}^{(*)}rightarrow Lambda _{c}pi right) rightarrow {bar{D}}^{(*)}Lambda _{c}pi , while the triangle-loop modes proceed through {bar{D}}^{*}Sigma _{c}^{(*)}rightarrow J/psi Npi , eta _{c}Npi via {bar{D}}Sigma _{c}^{(*)} rescattering to J/psi N and eta _{c}N. Our results indicate that the decay widths of the P_{c}(4457) and {bar{D}}^{(*)}Sigma _{c}^{*} states into {bar{D}}^{(*)}Lambda _{c}pi are several MeV, as a result can be observed in the upcoming Run 3 and Run 4 of LHC. The partial decay widths into {bar{D}}^{(*)}Lambda _{c}pi of the P_{c}(4312) and P_{c}(4440) states range from tens to hundreds of keV. In addition, the partial decay widths of {bar{D}}^{*}Sigma _{c} molecules into J/psi N pi and eta _c N pi are several keV and tens of keV, respectively, and the partial decay widths of {bar{D}}^{*}Sigma _{c}^{*} molecules into J/psi N pi vary from several keV to tens of keV. In particular, we show that the spin-5/2 {bar{D}}^{*}Sigma _{c}^{*} state can be searched for in the J/psi N pi and {bar{D}}^{*}Lambda _{c}pi invariant mass distributions, while the latter one is more favorable. These three-body decay modes of the pentaquark states are of great value to further observations of the pentaquark states and to a better understanding of their nature.

Magnetic moments of hidden-charm strange pentaquark states* *Supported by the National Natural Science Foundation of China (11905171, 12047502) and the Natural Science Basic Research Plan in Shaanxi Province of China (2022JQ-025)

In this study, the magnetic moments of hidden-charm strange pentaquark states with quantum numbers, , , and are calculated in the molecular, diquark-diquark-antiquark, and diquark-triquark models. The numerical results demonstrate that the magnetic moments change for different spin-orbit couplings within the same model and when involving different models with the same angular momentum.

Hidden-charm pentaquark states through current algebra: from their production to decay * *Supported by the National Natural Science Foundation of China (11722540, 12075019), the Jiangsu Provincial Double-Innovation Program (JSSCRC2021488), and the Fundamental Research Funds for the Central Universities

There may be seven hadronic molecular states. We construct their corresponding interpolating currents and calculate their masses and decay constants using QCD sum rules. Based on these results, we calculate their relative production rates in decays using current algebra, that is, , where and are two different states. We also study their decay properties via Fierz rearrangement and further calculate these ratios in the mass spectrum, that is, . Our results suggest that the molecular states of and may be observed in future experiments.

P c resonances in the compact pentaquark picture

P c resonances are studied in the approach of quark model and group theory. It is found that there are totally 17 possible pentaquark states with the quark contents (q are u and d quarks; Q is c quark) in the compact pentaquark picture, where the hidden charm pentaquark states may take the color singlet–singlet and color octet–octet configurations. The theoretical results of partial decay widths of the pentaquark states show that open charm channels are the dominant decay modes for almost all hidden charm pentaquark states, but there are four pentaquark states which decay through the pJ/ψ channel with sizable partial decay widths.

Investigation of hidden-charm pentaquarks with strangeness S=-1

Recently, a new hidden-charm pentaquark state P_{cs}(4459) was reported by the LHCb Collaboration. Stimulated by the fact that all hidden-charm pentaquark states in S=0 systems were successfully studied by the chiral quark model, we extended this study to the S=-1 systems. All possible states with quantum numbers IJ^P=0(frac{1}{2})^-, 0(frac{3}{2})^-, 0(frac{5}{2})^-, 1(frac{1}{2})^-, 1(frac{3}{2})^- and 1(frac{5}{2})^- have been investigated. The calculation results shows that the newly observed state P_{cs}(4459) can be explained as Xi _c bar{D}^* molecular state and the quantum numbers are 0(frac{1}{2})^-. In addition, we also find other molecular states Xi _c bar{D}, Xi _c^* bar{D} and Xi _c' bar{D}^*. It is worth mentioning that Xi _c bar{D}^* can form a two-peak structure from states in system 0(frac{1}{2})^- and 0(frac{3}{2})^-. The decay width of all molecular states is given with the help of real scaling method. These hidden-charm pentaquark states is expected to be further verified in future experiments.

Fine structure of pentaquark multiplets in the dynamical diquark model

We apply the dynamical diquark model to predict the spectrum of hidden-charm pentaquark states in both unflavored and open-strange sectors. Using only Hamiltonian parameters introduced in the tetraquark $S$- and $P$-wave multiplets, the model naturally produces the level spacing supported by the most recent LHCb results for ${P}_{c}$ structures. Furthermore, using model inputs obtained from data of hidden-charm, open-strange tetraquarks (${Z}_{cs}$), we predict the spectrum of ${P}_{cs}$ states, including the recently observed ${P}_{cs}(4459)$. We find all pentaquark candidates observed to date to belong to the $1P$ multiplet and hence have positive parity.

Searching for strange hidden-charm pentaquark state Pcs(4459) in γp→K+Pcs(4459) reaction

We investigate the possibility of studying the strange hidden-charm pentaquark state $P_{cs}(4459)$ by photon-induced reactions on a proton target in an effective Lagrangian approach. The production process is described by the $t$-channel $K^{-}$ exchange, the $u$-channel $\Lambda$ exchange, the contract term, and the $s$- channel nucleon pole. Our theoretical approach is based on the assumption that $P_{cs}(4459)$ with $J^{P}=1/2^{-}$ or $J^{P}=3/2^{-}$ can be interpreted as a molecule composed of $\bar{D}^{*}\Xi_c$. Using the coupling constants of the $P^{J^P}_{cs}$ to $\gamma{}\Lambda$ and $K^{-}p$ channels obtained from molecule picture of the $P^{J^{P}}_{cs}(4459)$, the total cross-sections of the process $\gamma{}p\to{}P^{J^P}_{cs}K^{+}$ is evaluated. Our calculation indicates that the cross-section for $\gamma{}p\to{}P^{1/2^{-}}_{cs}K^{+}$ and $\gamma{}p\to{}P^{3/2^{-}}_{cs}K^{+}$ are of the order of 10.0 pb and 5.0 pb, respectively. In addition, we compute the cross-section by assuming $P_{cs}(4459)$ as a compact pentaquark and find it is quite different from the results of $\bar{D}^{*}\Xi_c$ molecule. Those results can be measured in future experiments, such as the Electron-Ion Collider in China and the United States. And can be used to test the nature of the $P_{cs}$.

Hidden charm hadronic molecule with strangeness Pcs*(4739) as a ΣcD¯K¯ bound state

Motivated by the recent discovery of the first hidden charm pentaquark state with strangeness ${P}_{cs}(4459)$ by the LHCb Collaboration, we study the likely existence of a three-body ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}\overline{K}$ bound state, which shares the same minimal quark content as ${P}_{cs}(4459)$. The ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}$ and $DK$ interactions are determined by reproducing ${P}_{c}(4312)$ and ${D}_{s0}^{*}(2317)$ as ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{D}$ and $\overline{D}\overline{K}$ molecules, respectively, while the ${\mathrm{\ensuremath{\Sigma}}}_{c}\overline{K}$ interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schr\"odinger equation using the Gaussian expansion method, which can be viewed as an excited hidden charm exotic state with strangeness, ${P}_{cs}^{*}(4739)$, with $I({J}^{P})=1(1/{2}^{+})$ and a binding energy of ${77.8}_{\ensuremath{-}10.3}^{+25}\text{ }\text{ }\mathrm{MeV}$. We further study its strong decays via triangle diagrams and show that its partial decay widths into $D{\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}$ and ${D}_{s}^{*}{\mathrm{\ensuremath{\Sigma}}}_{c}$ are of a few tens of MeV, with the former being dominant.