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

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• 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
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