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Gluon gravitational structure of hadrons of different spin

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arxiv 2107.10368 v4 pith:LZTD5NUL submitted 2021-07-21 hep-lat nucl-th

Gluon gravitational structure of hadrons of different spin

classification hep-lat nucl-th
keywords gluonhadronsmomentumenergygffscontributionsgravitationalmass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The gravitational form factors (GFFs) of hadrons encode the matrix elements of the energy momentum tensor of QCD. These quantities describe how energy, spin, and various mechanical properties of hadrons are carried by their quark and gluon constituents. We present the gluon GFFs of the pion, nucleon, $\rho$ meson, and $\Delta$ baryon as functions of the squared momentum transfer $t$ in the region $0 \leq -t < 2 \; \text{GeV}^2$, as determined in a lattice QCD study with pion mass $m_{\pi} = 450(5) \; \text{MeV}$. By fitting the extracted GFFs using multipole and z-parameter expansion functional forms, we extract various gluon contributions to the energy, pressure, and shear force distributions of the hadrons in the 3D and 2D Breit frames as well as in the infinite momentum frame. We also obtain estimates for the corresponding gluon mechanical and mass radii, as well as the forward-limit gluon contributions to the momentum fraction and angular momentum of the hadrons.

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Forward citations

Cited by 7 Pith papers

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