A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions

Abstract

Using dispersive representations of the nucleon gravitational form factors, the results for their absorptive parts from chiral effective field theory in curved space-time, and the mechanical stability conditions, we obtain a model independent inequality for the value of the gravitational $D(t)$ form factor at zero momentum transfer (Druck-term). In particular, the obtained inequality leads to a conservative bound on the Druck-term in the chiral limit $D\le -0.95(9)$. This bound implies the restriction on the low-energy constant $c_8$ of the effective chiral action for nucleons and pions in the presence of an external gravitational field, $c_8\le -1.1(1)$ GeV${}^{-1}$. For the physical pion mass we obtain a model independent bound $D\le -0.20(2)$.

minor corrections, version accepted for publication

References in corpus (8)

• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Effects of long-range forces on the D-term and the energy-momentum structure
• The gravitational form factor D(t) of the electron
• Determination of shear forces inside the proton
• Determination of the Gluonic D-term and Mechanical Radii of Proton from Experimental data

Cited by in corpus (15)

• Gluon gravitational structure of hadrons of different spin
• Gravitational form factors of the proton from lattice QCD
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• Dispersive Determination of Nucleon Gravitational Form Factors
• 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
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• 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
• 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
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon