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 parameterize relative orbital angular momentum of the constituent quarks.

Gravitational form factors of $N(1535)$ in QCD

“…In this section, first we revisit the transitional gravitational FFs of the N * → N studied in Ref. [39] then obtain the LCSR for the GFFs of the N * state.…”

“…First, we revisit the transition GFFs of N * → N studied in Ref. [39]. In this work, the transition matrix element of the energy momentum tensor (EMT) current is parameterized in terms of four independent FFs.…”

Parametrization of transition energy-momentum tensor form factors

“…N * (1535) → N transition EMT form factors were first considered in Ref. [19] and their complete expression was established in Ref. [20].…”