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

Abstract

We present the first direct calculation on the gravitational form factors (GFFs) of the $N\to \Delta$ 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.

arXiv comment18 Pages, 4 Figures and 2 Tables, To be published in JHEP

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