On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm

Abstract

The pentaquark $P_c^{+}(4450)$ recently discovered by LHCb has been interpreted as a bound state of $\Psi (2S)$ and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that $\Psi (2S)$ can form bound states with nucleon and $\Delta$. Using the Skyrme model to evaluate the effective interaction in the large-$N_c$ limit and estimate $1/N_c$ corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of $P_c^{+}(4450)$ is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin $\frac{3}{2}$ bound states of $\Psi (2S)$ and $\Delta$ with masses around $4.5\mathrm{GeV}$ and widths around $70\mathrm{MeV}$. The approach also predicts broader resonances in the $\Psi (2S)$-$\Delta$ channel at $4.9\mathrm{GeV}$ with widths of the order of $150\mathrm{MeV}$. We discuss in which reactions these new isospin $\frac{3}{2}$ pentaquarks with hidden charm can be observed.

19 pages, 2 figures, added comments on how to observe the new Delta-charmonium bound states, accepted version

References in corpus (12)

• Charmonium
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Radial excitations of Q-balls, and their D-term
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Energy momentum tensor, stability, and the D-term of Q-balls
• On the A-dependence of nuclear generalized parton distributions
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Analyticity and sum rules for photon GPDs
• Stability of the pion and the pattern of chiral symmetry breaking

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• Energy momentum tensor and the D-term in the bag model
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• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
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• Strong force fields and stabilities of the nucleon and singly heavy baryon ${\Sigma }_c$
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• Quadrupole pressure and shear forces inside baryons in the large $N_c$ limit
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• Quark spin and orbital angular momentum from proton GPDs
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• Monopole and quadrupole contributions to the angular momentum density
• Mechanical structure of a spin-1 particle
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• Narrow pentaquarks as diquark-diquark-antiquark systems
• Spatial densities of momentum and forces in spin-one hadrons
• Gauged Q-ball dark matter through a cosmological first-order phase transition
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Dispersive Determination of Nucleon Gravitational Form Factors
• Q-ball stress stability criterion in the $U(1)$ gauged scalar theories
• Spatial densities of the photon on the light front
• Internal force distributions in 't Hooft-Polyakov monopole and Julia-Zee dyon
• Stress out of charmonia
• Gravitational form factor $D$ of charmonium from shear stress
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Relativistic energy-momentum tensor distributions in a polarized nucleon
• Medium modification of the nucleon mechanical properties: Abel tomography case
• Energy-Momentum Tensor and D-term of Baryons in Top-down Holographic QCD
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
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• Mapping the transverse spin sum rule in position space
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• Exotic Heavy Hadrons
• Energy-momentum tensor form factor D(t) of proton and neutron
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case
• Transverse energy-momentum tensor distributions in polarized nucleons