Gravitational transition form factors of N → Δ via QCD light-cone sum rules

We present the first direct calculation on the gravitational form factors (GFFs) of the N -> 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 increment 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.

Automated summary

This study presents the first direct calculation on the gravitational form factors (GFFs) of the N -> Delta transition using the QCD light-cone sum rules. The matrix element of the quark part of the energy momentum tensor current is parameterized in terms of five independent conserved and four independent non-conserved GFFs. The results show that the behavior of the form factors with respect to Q(2) can be described by multipole fit functions. These results can be tested by other phenomenological models and future related experiments, including Lattice QCD.