Gravitational transition form factors of $N(1535) \rightarrow N$

TL;DR

This paper calculates the gravitational transition form factors of the N(1535) to N using light cone QCD sum rules, highlighting the dependence on distribution amplitude parameters and fitting their momentum dependence.

Contribution

It introduces a method to compute transition gravitational form factors of N(1535) to N within the light cone QCD sum rule framework, considering different shape parameters.

Findings

Form factors are well described by p-pole fit functions.

Results vary significantly with different distribution amplitude parameters.

Transition form factors depend strongly on the orbital angular momentum parameters.

Abstract

We employ the quark part of the symmetric energy-momentum tensor current to calculate the transition gravitational form factors of the $N(1535) \rightarrow N$ 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 $N(1535) \rightarrow N$ transition gravitational form factors depend highly on the shape parameters of the distribution amplitudes of the $N(1535)$ state that parametrize relative orbital angular momentum of the constituent quarks.