Abstract
We develop an approach based on the light-cone sum rules at the leading order of $\alpha_S$ to calculate the gravitational form factors $A(t)$ and $B(t)$ for the valence quark combinations in nucleon. Within the proposed model, the predictions for the gravitational form factor $D(t)$ ($D$-term contributions) have been presented. Comparison with the experimental data and with the results of different models is discussed.
Highlights
It is well known that the hadron matrix element of energy-momentum tensor (EMT) can provide information on fundamental characteristics of particles such as mass and spin [1,2,3,4,5]
As demonstrated in many papers the lightcone sum rules (LCSRs) approach is attractive due to the fact that the soft contributions are calculated in terms of the same distribution amplitudes (DAs) that the pQCD calculations include
The LCSRs can be positioned as one of the most direct relations of the different kind of form factors and hadron DAs that is available at present
Summary
It is well known that the hadron matrix element of energy-momentum tensor (EMT) can provide information on fundamental characteristics of particles such as mass and spin [1,2,3,4,5]. The energy-momentum tensor plays the role in the interplay between the gravitation as an external field and the matter fields in the similar manner as the gauge field (photons, gluons) interacts with fermions or other particles by means of the corresponding electromagnetic current In this connection, we shall adopt the technique of lightcone sum rules (LCSRs) developed for the different nucleon electromagnetic form factors in [10,11,12]. In the Appendix we give the introductory material about the geometrical and collinear twists
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