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Quantum stresses in the hydrogen atom
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abstract
Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\bar{c}$. Some researchers, however, have expressed skepticism of this interpretation. I revisit the question, and argue that it is indeed appropriate to interpret these quantities as stress distributions. I consider the hydrogen atom's ground state as a familiar example, and use the pilot wave interpretation of quantum mechanics to give the distributions a clear meaning. A striking result is that $\bar{c}$ -- rather than $D$ -- quantifies the force law binding the system, which can be understood through Cauchy's first law of motion.
Forward citations
Cited by 4 Pith papers
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Quantum stress and torsion distributions in the deuteron
First complete non-relativistic impulse-approximation calculation of all eleven deuteron EMT form factors, including non-conserved c-bar and s-bar form factors that map to force and torsion distributions inside the nucleons.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.
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Quadrupole forces between quark/gluon subsystems inside higher-spin particles
For spin-1 and spin-3/2 hadrons, the quark/gluon subsystem force acquires quadrupole and tangential components, expressed through new multipole form factors C̄_n(t).
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Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis
This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.
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