Gravitational form factors of pion in a nonlocal quark model

TL;DR

This paper introduces a method to calculate the gravitational form factors of the pion using a nonlocal quark model by incorporating external gravitational interactions and evaluating the energy-momentum tensor.

Contribution

It presents a novel approach to compute pion gravitational form factors within a nonlocal quark model by including gravitational interactions via the equivalence principle.

Findings

Bubble diagrams significantly contribute to gravitational form factors.

The method allows evaluation of hadronic matrix elements with external gravitational fields.

Provides insights into the internal structure of pions under gravitational interactions.

Abstract

Interaction with external gravitational field is introduced into a nonlocal quark model using the equivalence principle. This allows to define the energy-momentum tensor in flat space and evaluate its hadronic matrix element with external pions. It is found that bubble diagrams give a significant contribution to the corresponding gravitational form factors.