We define the form factors of the quark and gluon symmetric energy-momentum tensor (EMT). The static EMT is related to the spatial distributions of energy, spin, pressure and shear forces. They are obtained in the form of a multipole expansion. The relations between gravitational form factors and the generalised parton distributions are given. * Electronic address: sunbd@ihep.ac.cn

We perform the flavour SU (3) analysis of the recently discovered Ω(2012) hyperon. We find that well known (four star) ∆(1700) resonance with quantum numbers of J P = 3/2 − is a good candidate for the decuplet partner of Ω(2012) if the branching for the three-body decays of the latter is not too large ≤ 70%. That implies that the quantum numbers of Ω(2012) are I(J P ) = 0(3/2 − ). The predictions for the properties of still missing Σ and Ξ decuplet members are made. We also discuss the implications of the KΞ(1530) molecular picture of Ω(2012). Crucial experimental tests to distinguish various pictures of Ω(2012) are suggested.

The energy–momentum tensor (EMT) for a spin-3/2 baryon is related to seven mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $$\Delta $$ Δ GFFs within the SU(2) Skyrme model based on the large $$N_{c}$$ N c limit.