Gravitational transition form factors of N(1535) -> N

Abstract

We employ the quark part of the symmetric energy-momentum tensor current to calculate the transition gravitational form factors of the N(1535) -> N by means of the light-cone QCD sum rule formalism. In numerical analysis, we use two different sets of the shape parameters in the distribution amplitudes of the N(1535) baryon and the general form of the nucleon's interpolating current. It is seen that the momentum squared dependence of the gravitational form factors can be well described by the p-pole fit function. The results obtained by using two sets of parameters are found to be quite different from each other, and the N(1535) -> N transition gravitational form factors depend highly on the shape parameters of the distribution amplitudes of the N(1535) state that parametrize the relative orbital angular momentum of the constituent quarks.