Abstract

The quark parts of the gravitational form factors of hyperons are calculated by means of the light-cone QCD sum rule. In the calculations, the distribution amplitudes (DAs) of $\Sigma$, $\Xi$ and $\Lambda$ together with the general forms of their interpolating currents as well as the quark part of the energy-momentum tensor current are used. These form factors can provide information on their mass and distributions of the angular momentum, energy and pressure inside the hyperons. It is obtained that the $Q^2$ dependencies of the hyperon gravitational form factors are nicely characterized by a multipole fit function. Using the fits of these form factors, some mechanical properties such as the mechanical radius of the hyperons and the pressure and energy distributions at the center of these particles are obtained. The obtained results can help us in better understanding of the internal structures of these baryons and the QCD as theory of the strong interaction.

Highlights

  • It is obtained that the Q2 dependencies of the hyperon gravitational form factors are nicely characterized by a multipole fit function

  • Based on the standard prescriptions of the approach used, the physical observables should weakly depend on these auxiliary parameters

  • We calculated the quark part of the gravitational form factors of hyperons by using the light-cone QCD sum rule method

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Summary

MOTIVATION

The gravitational form factors of baryons are fundamental objects that provide valuable information on different observables related to the structure and mechanical properties of these particles They are described by the help of the matrix element of the energy-momentum tensor [1]. As a first calculation, the transition gravitational form factors between NÃ and N baryons have been calculated in the framework of light-cone QCD sum rule [38]. The hyperon states are very interesting as they can be used to check the order of SU(3) flavor symmetry breaking at different interactions Our knowledge on these particles is very limited because of unstable nature of these particles. This makes experimental studies very difficult and this situation increase the importance of theoretical studies on different aspects of hyperons.

HYPERON’S GRAVITATIONAL FORM FACTORS
NUMERICAL RESULTS
SUMMARY AND CONCLUDING REMARKS
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