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Forces within hadrons on the light front

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arxiv 2102.01683 v2 pith:6XQMBEQF submitted 2021-02-02 hep-ph nucl-exnucl-th

classification hep-phnucl-exnucl-th
keywords densityformfrontforcesformalismhadronslightdensities
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this work, we find the light front densities for momentum and forces, including pressure and shear forces, within hadrons. This is achieved by deriving relativistically correct expressions relating these densities to the gravitational form factors $A(t)$ and $D(t)$ associated with the energy momentum tensor. The derivation begins from the fundamental definition of density in a quantum field theory, namely the expectation value of a local operator within a spatially-localized state. We find that it is necessary to use the light front formalism to define a density that corresponds to internal hadron structure. When using the instant form formalism, it is impossible to remove the spatial extent of the hadron wave function from any density, and -- even within instant form dynamics -- one does not obtain a Breit frame Fourier transform for a properly defined density. Within the front formalism, we derive new expressions for various mechanical properties of hadrons, including the mechanical radius, as well as for stability conditions. The multipole ansatz for the form factors is used as an example to illustrate all of these findings.

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Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice evidence that scalar glueballs are small

    hep-lat 2025-08 conditional novelty 8.0 of 10

    First lattice extraction of scalar glueball gravitational form factors gives a mass radius of 0.263(31) fm, smaller than typical hadrons.

  2. Quantum stress and torsion distributions in the deuteron

    nucl-th 2026-02 conditional novelty 7.0 of 10

    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.

  3. Transverse energy-momentum tensor distributions in polarized nucleons

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    Transverse EMT distributions in polarized nucleons are derived in the quantum phase-space formalism; they reduce to standard light-front densities (including bad components) in the infinite-momentum frame.

  4. Quadrupole forces between quark/gluon subsystems inside higher-spin particles

    hep-ph 2025-08 conditional novelty 5.0 of 10

    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).

  5. Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.

  6. Mechanical properties of the $\Omega^-$ baryon from gravitational form factors

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.

  7. On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Time-independent three-dimensional spherical densities cannot be defined for relativistic confined systems; only transverse two-dimensional light-front densities are consistent with quantum mechanics and Poincare invariance.

  8. Light-front transverse profiles of scalar and spin-two chromoelectric EMT responses in near-threshold charmonium probes

    hep-ph 2026-06 conditional novelty 4.0 of 10

    Scalar and spin-two chromoelectric EMT responses of the proton admit distinct light-front transverse profiles whose integrated ratio recovers the forward threshold strength ~0.15 while finite-b behavior tracks relativ...

  9. Scalar and spin-two energy-momentum-tensor structure in near-threshold charmonium probes of the proton

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Near-threshold charmonium chromoelectric scattering separates into a scalar anomaly channel and a traceless spin-two channel fixed by Ag(0) forward and by a specific GFF combination off forward, without a boost-enhanc...

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