Chiral structure of nucleon gravitational form factors

Abstract

We study the low momentum behavior of nucleon gravitational form factors in the framework of the heavy baryon chiral perturbation theory. At zero recoil they determine the momentum and spin apportion between nucleon constituents. Our result provides an insight into the response of the nucleon's pion cloud to an external weak gravitational field and establishes a theoretical framework for extrapolation of experimental and lattice data on the nucleon form factors to zero momentum transfer. We also discuss form factors corresponding to higher-rank tensor currents related to the moments of generalized parton distributions.

10 pages, LaTeX, 1 figure

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• Twist-two matrix elements at finite and infinite volume
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Short Range Correlations and the EMC Effect in Effective Field Theory
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• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Energy momentum tensor, stability, and the D-term of Q-balls
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• Chiral perturbation theory for nucleon generalized parton distributions
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• Chiral theory of nucleons and pions in the presence of an external gravitational field
• Flavour singlet physics in lattice QCD with background fields
• Effects of long-range forces on the D-term and the energy-momentum structure
• Chiral dynamics and partonic structure at large transverse distances
• The dynamic origins of fermionic D-terms
• The gravitational form factor D(t) of the electron
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• Universality of the EMC Effect
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• The First Moments of Nucleon Generalized Parton Distributions
• On chiral corrections to nucleon GPD
• Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
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• Dispersive Determination of Nucleon Gravitational Form Factors
• Gravitational form factors of hyperons in light-cone QCD
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Soft Pion Emission in DVCS
• DVCS-Dissociation of the Deuteron and the EMC Effect
• Gravitational form factors of $N(1535)$ in QCD
• Chiral Perturbation for Large Momentum Effective Field Theory
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime