Gravitational form factors of the proton from lattice QCD

Abstract

The gravitational form factors (GFFs) of a hadron encode fundamental aspects of its structure, including its shape and size as defined from e.g., its energy density. This work presents a determination of the flavor decomposition of the GFFs of the proton from lattice QCD, in the kinematic region $0\le -t\le 2{\text{GeV}}^2$. The decomposition into up-, down-, strange-quark, and gluon contributions provides first-principles constraints on the role of each constituent in generating key proton structure observables, such as its mechanical radius, mass radius, and $D$-term.

Version published in PRL

References in corpus (36)

• Array Programming with NumPy
• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• Model independent extraction of the proton charge radius from electron scattering
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Bayesian model averaging for analysis of lattice field theory results
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• Parton Distributions in Nucleons and Nuclei
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• Gluon gravitational structure of hadrons of different spin
• QCD Analysis of Near-Threshold Photon-Proton Production of Heavy Quarkonium
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Nucleon mass radii and distribution: Holographic QCD, Lattice QCD and GlueX data
• $J/\psi$ near threshold in holographic QCD: A and D gravitational form factors
• Measurement of the J/$\psi$ photoproduction cross section over the full near-threshold kinematic region
• Ambiguities in the definition of local spatial densities in light hadrons
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Gravitational form factors and mechanical properties of proton in a light-front quark-diquark model
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• Energy momentum tensor and the D-term in the bag model
• Gravitational form factors within light-cone sum rules at leading order
• Unified formalism for electromagnetic and gravitational probes: densities
• Updated analysis of near-threshold heavy quarkonium production for probe of proton's gluonic gravitational form factors
• On the D-term of the nucleon generalized parton distributions
• Nucleon D-term in holographic QCD
• Momentum-Current Gravitational Multipoles of Hadrons
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Gluon matter distribution in the proton and pion from extended holographic light-front QCD
• First-time measurement of Timelike Compton Scattering
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• Gauge-invariant Renormalization Scheme in QCD: Application to fermion bilinears and the energy-momentum tensor
• Effect of the pion field on the distributions of pressure and shear in the proton
• Nonperturbatively Renormalized Nucleon Gluon Momentum Fraction in the Continuum Limit of $N_f=2+1+1$ Lattice QCD

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• Parametrization of GPDs from t-channel string exchange in AdS spaces
• String-based parametrization of nucleon GPDs at any skewness: a comparison to lattice QCD
• Transverse force distributions in the proton from lattice QCD
• 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
• A Journey of Seeking Pressure and Forces in the Nucleon
• Mechanical form factors and densities of non-relativistic fermions
• Photo-production of ${\eta }_{c,b}$ near Threshold
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• String-based axial and helicity-flip GPDs: a comparison to lattice QCD
• Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles
• "Rosenbluth" separation of the $J/\psi$ near-threshold photoproduction -- an access to the gluon Gravitational Form Factors at high $t$
• Scale-anomaly-induced binding pressure in hadrons
• Mapping the transverse spin sum rule in position space
• Measurement of the near-threshold J$/\psi$ photoproduction cross section with the CLAS12 experiment
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Quantum stress and torsion distributions in the deuteron
• Energy-momentum tensor form factor D(t) of proton and neutron
• Mechanical properties of the proton from a deformed AdS holographic model
• Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Exploring Nucleon Structure and the Proton Mass Problem through Holographic QCD
• Entanglement, Trace Anomaly and Confinement in QCD
• Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD
• Accessing the Gluon Momentum Fraction of Nucleons through the Gradient Flow
• Exploring Dynamic Load Balancing Algorithms for Block-Structured Mesh-and-Particle Simulations in AMReX