Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons

Abstract

The LHCb collaboration has recently observed three narrow pentaquark states --- the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ ---that are located close to the $\bar{D}{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c$ thresholds. Among the so-far proposed theoretical interpretations for these pentaquarks, the molecular hypothesis seems to be the preferred one. Nevertheless, in the molecular picture the spins of the $P_c(4440)$ and $P_c(4457)$ have not been unambiguously determined yet. In this letter we point out that heavy antiquark-diquark symmetry induces a model-independent relation between the spin-splitting in the masses of the $P_c(4440)$ and $P_c(4457)$ ${\bar{D}}^{\ast }{\Sigma }_c$ pentaquarks and the corresponding splitting for the $0^{+}$ and $1^{+}$ ${\Xi }_{cc}{\Sigma }_c$ triply charmed dibaryons. This is particularly relevant owing to a recent lattice QCD prediction of the $1^{+}$ triply charmed dibaryon, which suggests that a calculation of the mass of its $0^{+}$ partner might be within reach. This in turn would reveal the spins of the $P_c(4440)$ and $P_c(4457)$ pentaquarks, providing a highly nontrivial test of heavy-quark symmetry and the molecular nature of the pentaquarks. Furthermore, the molecular interpretation of the hidden-charm pentaquarks implies the existence of a total of ten triply charmed dibaryons as ${\Xi }_{cc}^{(\ast )}{\Sigma }_c^{(\ast )}$ molecules, which, if confirmed in the lattice, will largely expand our understanding of the non-perturbative strong interaction in the heavy-quark sector.

arXiv comment6 pages, 1 figure, 3 tables

References in corpus (42)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Heavy quark spin structure in Z_b resonances
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• 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
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• 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 $P_c(4457)$
• Heavy Quark Symmetry Predictions for Weakly Bound B-Meson Molecules
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules
• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Heavy Hadron Chiral Perturbation Theory
• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Spectroscopy of doubly-charmed baryons from lattice QCD
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• $P_c$ pentaquarks with chiral tensor and quark dynamics
• New LHCb pentaquarks as hadrocharmonium states
• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Deuteron-like heavy dibaryons from Lattice QCD
• Heavy Antiquark--Diquark Symmetry and Heavy Hadron Molecules: Are There Triply Heavy Pentaquarks?
• Lattice QCD study of doubly-charmed strange baryons
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• $D\Xi$ and $D^{\ast }\Xi$ Molecular States from One Boson Exchange
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes

Cited by in corpus (19)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Probing new types of $P_c$ states inspired by the interaction between an $S$-wave charmed baryon and an anticharmed meson in a $\bar{T}$ doublet state
• How to reveal the nature of three or more pentaquark states?
• Heavy-hadron molecules from light-meson-exchange saturation
• Compact hidden charm pentaquark states and QCD isomers
• Triply-charmed dibaryon states or two-baryon scattering states from the QCD sum rules?
• Exotic Hadrons at LHCb
• Triply charmed dibaryons in the one boson exchange model
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Prompt production of the hidden charm pentaquarks in the LHC
• Spectrum of the molecular hexaquarks
• Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Doubly charmed dibaryon states
• Electromagnetic properties of possible triple-charm molecular hexaquarks
• Radiative decay and axial-vector decay behaviors of octet pentaquark states