Gravitational form factors of N(1535) in QCD

Abstract

We calculate the gravitational form factors of the excited N(1535) state with the quantum numbers I(JP)=12(12−) via light cone QCD sum rules (LCSR). To this end, we consider the quark part of the energy-momentum tensor (EMT) current and use the general form of the nucleon's interpolating field as well as the distribution amplitudes (DAs) of N(1535). As both the nucleon and N(1535) couple to the same current, the N(1535)→N gravitational transition form factors are entered to the calculations as the main input parameters. First we revisit the transitional gravitational form factors of N(1535)→N, then extract the values of the form factors of the N(1535) excited state. We observe that the gravitational form factors of N(1535) in terms of Q2 are well described by the multipole fit function. As a byproduct, we also calculate the pressure and energy density at the center of N(1535) and estimate its mechanical radius.