Gravitational transition form factors of $N\to \Delta$ via QCD light-cone sum rules

Abstract

We present the first direct calculation on the gravitational form factors (GFFs) of the $N\to \Delta$ transition using an analytic method, the QCD light-cone sum rules. The matrix element of the quark part of the energy momentum tensor current sandwiched between the nucleon and $\Delta$ states are parameterized in terms of five independent conserved and four independent non-conserved GFFs, for calculation of which we use the distribution amplitudes (DAs) of the on-shell nucleon expanded in terms of functions with different twists. We present the results for two sets of light-cone input parameters. The results indicate that the behavior of the form factors with respect to $Q^2$ are described by multipole fit functions. Our results may be checked by other phenomenological models including the Lattice QCD as well as future related experiments.

18 Pages, 4 Figures and 2 Tables, To be published in JHEP

References in corpus (24)

• Nucleon Form Factors in QCD
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Gluon gravitational structure of hadrons of different spin
• Forces within hadrons on the light front
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Nucleon spin densities in a light-front constituent quark model
• Implication of the overlap representation for modelling generalized parton distributions
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• Energy momentum tensor and the D-term in the bag model
• The energy-momentum tensor of spin-1 hadrons: formalism
• Gravitational form factors within light-cone sum rules at leading order
• Unified formalism for electromagnetic and gravitational probes: densities
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Nucleon D-term in holographic QCD
• Effects of long-range forces on the D-term and the energy-momentum structure
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• Determination of the generalized parton distributions through the analysis of the world electron scattering data considering two-photon exchange corrections
• Genuine empirical pressure within the proton
• Parametrization of transition energy-momentum tensor form factors
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• Light Cone QCD Sum Rules Analysis of the Axial N -> Delta Transition Form Factors
• Spatial densities of momentum and forces in spin-one hadrons
• Gravitational form factors of $N(1535)$ in QCD
• Spatial densities of the photon on the light front

Cited by in corpus (5)

• Forces inside a strongly-coupled scalar nucleon
• Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $N\to \Delta$
• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$