Gravitational $p \to \Delta^+ $ transition form factors in chiral perturbation theory

Abstract

The proton to $\Delta^+$ resonance transitional gravitational form factors are calculated to leading one-loop order using chiral perturbation theory in our recent work [1]. We take into account the leading electromagnetic and strong isospin-violating effects to obtain non-vanishing contributions. The loop contributions to the transition form factors are found to be free of power-counting violating pieces, which is consistent with the absence of tree-level diagrams at the considered order. Our results involve no free parameters and can be regarded as predictions of chiral perturbation theory.