Gravitational transition form factors of $N \rightarrow \Delta$ via QCD light-cone sum rules

TL;DR

This paper calculates the gravitational form factors for the N to Delta transition using QCD light-cone sum rules, providing new insights into their Q^2 dependence and potential for experimental validation.

Contribution

First direct calculation of N to Delta gravitational form factors using QCD light-cone sum rules with detailed distribution amplitudes.

Findings

Form factors follow multipole behavior with Q^2

Results consistent across different input parameters

Potential for validation by lattice QCD and experiments

Abstract

We present the first direct calculation on the gravitational form factors (GFFs) of the $N \rightarrow \Delta$ transition using an analytic method, the QCD light-cone sum rules. The matrix element of the quark part of the energy momentum tensor current sandwiched between the nucleon and $\Delta$ states are parameterized in terms of five independent conserved and four independent non-conserved GFFs, for calculation of which we use the distribution amplitudes (DAs) of the on-shell nucleon expanded in terms of functions with different twists. We present the results for two sets of light-cone input parameters. The results indicate that the behavior of the form factors with respect to $Q^2$ are described by multipole fit functions. Our results may be checked by other phenomenological models including the Lattice QCD as well as future related experiments.