Pion gravitational form factors in the QCD instanton vacuum II

Abstract

We revisit the hard QCD contributions to the pion gravitational form factors (GFFs), in terms of the twist-2,3 pion distribution amplitudes (DA), including novel semi-hard contributions from the instantons. The pion DAs are evaluated in the QCD instanton vacuum, and then properly evolved to higher resolution. The results are compared to our recent results from the QCD instanton vacuum, as well as Bethe-Salpeter calculations and recent lattice data. The interpolated hard and soft contributions to the pion D-form-factor, are used to derive the (gravitational) pressure and shear within the pion, with a clear delineation of their range.

arXiv comment14 pages, 6 figures

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Cited by in corpus (7)

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• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Pion gravitational form factors in the QCD instanton vacuum I
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Scale-anomaly-induced binding pressure in hadrons
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD