Abstract

We revisit the three non-strange pentaquarks $[\frac 12\frac 12^-]_{S=0,1}$ and $[\frac 12\frac 32^-]_{S=1}$ predicted using the holographic dual description, where chiral and heavy quark symmetry are manifest in the triple limit of a large number of colors, large quark mass and strong $^\prime$t Hooft gauge coupling. In the heavy quark limit, the pentaquarks with internal heavy quark spin $S$ are all degenerate. The holographic pentaquarks are dual to an instanton bound to heavy mesons in bulk, without the shortcomings related to the nature of the interaction and the choice of the hard core inherent to the molecular constructions. We explicitly derive the spin-spin and spin-orbit couplings arising from next to leading order in the heavy quark mass, and lift totally the internal spin degeneray, in fair agreement with the newly reported charmed pentaquarks from LHCb. New charm and bottom pentaquark states are predicted.

Highlights

  • The LHCb Collaboration revisited its analysis of the pentaquark states using a ninefold increase in reconstructed Λ0b → J=ΨpK− decays from the LHCb Run-2 data batch at 13 TeV [1]

  • As multiquark states composed of heavy and light quarks, fall outside the realm of the canonical quark model. Their description calls for a novel hadronic paradigm with manifest chiral and heavy quark symmetry

  • III we extend this analysis at next to leading order in the heavy quark mass for the bound heavy baryons seeded by instantons in bulk

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Summary

INTRODUCTION

The LHCb Collaboration revisited its analysis of the pentaquark states using a ninefold increase in reconstructed Λ0b → J=ΨpK− decays from the LHCb Run-2 data batch at 13 TeV [1]. As multiquark states composed of heavy and light quarks, fall outside the realm of the canonical quark model Their description calls for a novel hadronic paradigm with manifest chiral and heavy quark symmetry. The holographic construction provides a dual realization of the chiral soliton approach and its bound state variants [38,39], without the shortcomings of the derivative expansion It is a geometrical realization of the molecular approach [4,5], without the ambiguities of the nature of the meson exchanges, and the arbitrariness in the choice of the many couplings and form factors [40]. A number of Appendixes are added to support the various results

HOLOGRAPHIC HEAVY-LIGHT EFFECTIVE ACTION
Light fields
Heavy-light fields
Spin-orbit effect
Spin effects
INDUCED QUANTUM POTENTIALS
SPECTRA
CONCLUSIONS
Chern-Simons contribution
The contribution
A M i 16π2aλ χ a trτa σ MN XN 2ðX2 þ ρ2Þ2
64 Z π2ρ 2
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