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In the framework of chiral effective field theory of delta resonances,nucleons and pions interacting with background gravitational field we calculatethe gravitational form factors of the nucleon up to fourth order in the smallscale expansion and obtain the long-range behavior of the correspondingcontributions to the energy, spin, pressure and shear force distributions. Bycomparing nucleon gravitational form factors with and without deltacontributions we conclude that explicit inclusion of deltas plays an importantrole. Next we explore the Lorentz structure of the $N \mapsto N \pi$ transitionmatrix element of the conserved symmetric energy-momentum tensor and introduceits parametrization in terms of twelve transition form factors. We use thechiral effective field theory to calculate the tree-order contributions to thegravitational transition form factors of the pion graviproduction off thenucleon up to third order.

Gravitational form factors of the nucleon and one pion graviproduction in chiral EFT