Nucleon's energy-momentum tensor form factors in light-cone QCD

Abstract

We use the energy-momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon's interpolating field and use the distribution amplitudes (DAs) of the nucleon with two sets of the numerical values of the main input parameters entering the expressions of the DAs. The directly obtained results from the sum rules for the form factors are reliable at $Q^2\ge 1Ge{V}^2$: To extrapolate the results to include the zero momentum transfer squared with the aim of estimation of the related static physical quantities, we use some fit functions for the form factors. The numerical computations show that the energy-momentum tensor form factors of the nucleon can be well fitted to the multipole fit form. We compare the results obtained for the form factors at $Q^2=0$ with the existing theoretical predictions as well as experimental data on the gravitational form factor d${}_1^q(0)$. For the form factors M${}_2^q(0)$ and J${}^q(0)$ a consistency among the theoretical predictions is seen within the errors: Our results are nicely consistent with the Lattice QCD and chiral perturbation theory predictions. However, there are large discrepancies among the theoretical predictions on d${}_1^q(0)$. Nevertheless, our prediction is in accord with the JLab data as well as with the results of the Lattice QCD, chiral perturbation theory and KM15-fit. Our fit functions well define most of the JLab data in the interval $Q^2\in [0,0.4]Ge{V}^2$, while the Lattice results suffer from large uncertainties in this region. As a by-product, some mechanical properties of the nucleon like the pressure and energy density at the center of nucleon as well as its mechanical radius are also calculated and their results are compared with other existing theoretical predictions.

16 Pages, 3 Figures and 4 Tables. Accepted version by EPJC

References in corpus (53)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Hard Exclusive Reactions and the Structure of Hadrons
• QCD at Low Energies
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Skewed and double distributions in pion and nucleon
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Revisiting the mechanical properties of the nucleon
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Linking Parton Distributions to Form Factors and Compton Scattering
• Generalized Parton Distributions from Lattice QCD
• Off-forward quark distributions of the nucleon in the large N_c limit
• Nucleon Form Factors in QCD
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The pressure distribution and shear forces inside the proton
• DVCS on the nucleon : study of the twist-3 effects
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Quark and gluon contributions to the QCD trace anomaly
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Quark Orbital Angular Momentum from Lattice QCD
• Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Leading Chiral Contributions to the Spin Structure of the Proton
• Chiral structure of nucleon gravitational form factors
• The generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems
• Insight into nucleon structure from lattice calculations of moments of parton and generalized parton distributions
• Gravitational form factors within light-cone sum rules at leading order
• On the D-term of the nucleon generalized parton distributions
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• The generalized parton distribution functions and the nucleon spin sum rules in the chiral quark soliton model
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Chiral perturbation theory for nucleon generalized parton distributions
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Radiative Decays of Decuplet to Octet Baryons in Light Cone QCD
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a $\pi$-$\rho$-$\omega$ soliton model
• Three-loop formula for quark and gluon contributions to the QCD trace anomaly
• Axial form-factor and induced pseudoscalar form-factor of the nucleons
• Nucleon and nuclear structure through dilepton production
• Nucleon tensor form factors induced by isovector and isoscalar currents in QCD
• Isovector axial-vector form factors of octet baryons in QCD
• Tensor form factors of nucleon in QCD
• Nucleon form factors induced by isovector and isoscalar axial-vector currents in QCD
• Axial vector transition form factors of $N\to \Delta$ in QCD
• Modification of generalized vector form factors and transverse charge densities of the nucleon in nuclear matter
• Tensor form factors of the octet hyperons in QCD
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD
• Isovector Axial Vector Form Factors of Octet-Decuplet Hyperon Transition in QCD

Cited by in corpus (28)

• Gluon gravitational structure of hadrons of different spin
• Gravitational form factors of the proton from lattice QCD
• Gravitational form factors and mechanical properties of proton in a light-front quark-diquark model
• Gravitational form factors of a baryon with spin-3/2
• Extraction of the proton mass radius from the vector meson photoproductions near thresholds
• Effects of long-range forces on the D-term and the energy-momentum structure
• The gravitational form factor D(t) of the electron
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• Generalized parton distributions at zero skewness
• Determination of the generalized parton distributions through the analysis of the world electron scattering data considering two-photon exchange corrections
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Gravitational transition form factors of $N(1535)\to N$
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Gravitational transition form factors of $N\to \Delta$ via QCD light-cone sum rules
• Gravitational form factors of hyperons in light-cone QCD
• Photoproduction of C-even quarkonia at EIC and EicC
• Gravitational form factors of $N(1535)$ in QCD
• Determination of shear forces inside the proton
• Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Gluon gravitational form factors of protons from charmonium photoproduction
• Energy-Momentum Tensor and D-term of Baryons in Top-down Holographic QCD
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Scale-anomaly-induced binding pressure in hadrons
• Energy-momentum tensor form factor D(t) of proton and neutron
• Visualization of internal forces inside the proton in a classical relativistic model
• Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD