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 (J(P)) = 1/2 (1/2(-)) 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 Q(2) 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. (C) 2021 Elsevier B.V. All rights reserved.