We analyze the decay modes of the three $[frac 12frac 12^-]_{S=0,1}$ and $[frac 12frac 32^-]_{S=1}$ non-strange pentaquarks with hidden charm and bottom, predicted by holographic QCD in the heavy quark limit. In leading order, the pentaquarks %are co
mposed of heavy-light mesons in bulk bound to an instanton core. They are degenerate and stable by heavy quark symmetry. At next to leading order, the spin interactions lift the degeneracy and cause the pentaquarks to decay. We show that the open charm (bottom) decay modes dwarf the hidden charm (bottom) ones, with total widths that are consistent with those recently reported by LHCb for charm pentaquarks. Predictions for bottom pentaquarks are given.
We revisit the three non-strange pentaquarks $[frac 12frac 12^-]_{S=0,1}$ and $[frac 12frac 32^-]_{S=1}$ predicted using the holographic dual description, where chiral and heavy quark symmetry are manifest in the triple limit of a large number of c
olors, 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.
We revisit the electromagnetic form factors of the proton and neutron in the holographic soft wall model. At low momentum transfer, we show that by matching the nucleon and rho Regge slopes and fixing the nucleon anomalous dimension by the nucleon ma
ss, a perfect match to the world average charge radii from e-p scattering (including the recent small charge radius of the proton measured by the PRad collaboration at JLab) follows. At high momentum transfer, the nucleon anomalous dimension runs up to match the hard scaling rule.
We develop a non-perturbative analysis of the electro-production of heavy vector mesons ($phi$, $J/Psi$) from threshold to high energy. We use the holographic construction with bulk confinement enforced through a soft wall. Using Witten diagrams, we
evaluate the pertinent cross sections for heavy vector mesons ($phi$, $J/Psi$) production and study their dependence on both the incoming virtual photon polarization as well as the outgoing polarization of the heavy meson. Our results for $J/Psi$ electro-production compares well with the available HERA data at low and intermediate $Q^2$, and for a wide range of momentum transfer. We also predict the quasi-real electro-production of $J/Psi$ near threshold.
We briefly review and expand our recent analysis for all three invariant A,B,D gravitational form factors of the nucleon in holographic QCD. They compare well to the gluonic gravitational form factors recently measured using lattice QCD simulations.
The holographic A-term is fixed by the tensor $T=2^{++}$ (graviton) Regge trajectory, and the D-term by the difference between the tensor $T=2^{++}$ (graviton) and scalar $S=0^{++}$ (dilaton) Regge trajectories. The B-term is null in the absence of a tensor coupling to a Dirac fermion in bulk. A first measurement of the tensor form factor A-term is already accessible using the current GlueX data, and therefore the tensor gluonic mass radius, pressure and shear inside the proton, thanks to holography. The holographic A-term and D-term can be expressed exactly in terms of harmonic numbers. The tensor mass radius from the holographic threshold is found to be $langle r^2_{GT}rangle approx (0.57-0.60,{rm fm})^2$, in agreement with $langle r^2_{GT}rangle approx (0.62,{rm fm})^2$ as extracted from the overall numerical lattice data, and empirical GlueX data. The scalar mass radius is found to be slightly larger $langle r^2_{GS}rangle approx (0.7,{rm fm})^2$.
We briefly review the key aspect of the QCD instanton vacuum in relation to the quantum breaking of conformal symmetry and the trace anomaly. We use Ji$^prime s$ invariant mass decomposition of the energy momentum tensor together with the trace anoma
ly, to discuss the mass budget of the nucleon and pion in the QCD instanton vacuum. A measure of the gluon condensate in the nucleon, is a measure of the compressibility of the QCD instanton vacuum as a dilute topological liquid.
We investigate the non-perturbative contribution of instantons to current matching kernels used in the context of the large momentum effective theory (LaMET). We derive explicitly these contributions using first principle semi-classical calculus for
the unpolarized and polarized quark parton distributions and the matching kernel, and show that they are part of a trans-series expansion. These contributions are substantial at current lattice matching momenta.
We discuss unpolarized neutrino- and anti-neutrino-nucleon deep inelastic scattering (DIS) using a chiral doublet of baryonic sources with explicit symmetry breaking, in a slice of AdS$_5$ with both a hard and soft wall. We explicitly derive the dire
ct and transition form factors for the vector and axial-vector currents for the holographic dual of a proton and neutron. We use them to derive the s-channel structure functions for neutrino and anti-neutrino scattering on a proton and neutron in bulk. The t-channel contributions stemming from the Pomeron and Reggeon exchanges are also evaluated explicitly. The pertinent even and odd structure functions in the limit of large and small parton momentum fraction $x$ are given. The results allow for the extraction of the nonperterbative parton distribution functions carried by the sea and valence quarks both at large-x and small-x regimes. Our holographic PDF sets compare well with LHAPDF and CTEQ PDF sets in the large-x and small-x regimes in the intermediate range of $Q^2<10~rm{GeV^2}$.
The instanton/sphaleron processes involve gauge fields with changing topology through a nonzero variation of the Chern-Simons number $delta N_{CS}=pm 1$. In QCD this leads to the production of $2N_f delta N_{CS}$ units of axial charge, and in the ele
ctroweak theory to the production of 12 fermions, with $Delta B=delta L=3$ units of baryon and lepton number, a key mechanism in baryogenesis. While this is all known for a long time, and is one of the pillars of the nonperturbative theory of the QCD vacuum, to see these phenomena directly in colliders remains an unfulfilled promise. Motivated by the recent CERN workshop on the topic, we review the field. We also put forward our own suggestions to utilize double-diffractive (or Pomeron-Pomeron) collisions to this goal, which maximizes the entrance factor and minimizes the backgrounds. We consider separately clusters of small ($M=3-10, {rm GeV}$), medium ($10-30, {rm GeV}$) and high $Msim 100 , {rm GeV}$ invariant masses. Among the proposed signals are specific flavor combination of channels, originating from well-defined 6-, 8- and 10-quark-antiquark operators, as well as correlation of quark chiralities to be potentially detected via $Lambda$ hyperon decays.
We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-mom
entum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at $x=0$ without the delta function contribution. We also consider the result for the massless Goldstone boson, as well as the structure of the gravitational form factors of the bound meson states.
