Gravitational transition form factors of N(1535)→N

U Özdem,K Azizi

doi:10.1103/physrevd.101.054031

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.

Highlights

The form factors (FFs) are essential parameters for gaining knowledge on the internal organization of the composit particles at low energies
The gravitational FFs (GFFs) of the nucleon have been examined within different theoretical models, such as the chiral quark soliton model [1,2,3,4,5,6,7,8,9,10,11], lattice QCD [12,13,14,15,16,17,18,19], light-cone QCD sum rules (LCSRs) [20,21], the Skyrme
We extend our previous work on the nucleon’s energy-momentum tensor FFs (EMTFFs) [21] and calculate for the first time the transitional gravitational form factors of Nð1535Þ → N due to the energy-momentum tensor current in the framework of the light-cone QCD sum rule [33,34,35] using the general form of the interpolating current of nucleon and distribution amplitudes of Nð1535Þ. [Hereafter we shall represent the Nð1535Þ particle as NÃ.] The main advantage of this method is that it is an analytical method and includes direct QCD parameters

Summary

INTRODUCTION

The form factors (FFs) are essential parameters for gaining knowledge on the internal organization of the composit particles at low energies. We extend our previous work on the nucleon’s EMTFFs [21] and calculate for the first time (to our knowledge) the transitional gravitational form factors of Nð1535Þ → N due to the energy-momentum tensor current in the framework of the light-cone QCD sum rule [33,34,35] using the general form of the interpolating current of nucleon and distribution amplitudes of Nð1535Þ. When calculating the quark-gluon properties, a connection is established between the low energy processes and the QCD vacuum, which is expressed in terms of distribution amplitudes In this approach, the hadrons are represented by interpolating currents carrying the same quantum number as the hadrons. The distribution amplitudes of the NÃ state and explicit expressions of the NÃ → N transition GFFs are presented in the appendixes

FORMALISM

Hadronic representation of the correlation function

QCD representation of the correlation function

SUMMARY AND CONCLUDING REMARKS