Abstract:Selected topics related to the physics of the energy-momentum tensor (EMT) form factors are discussed. The topics are: 1) Fundamental mechanical properties of particles and gravity 2) Mechanical properties of non-spherical particles 3) Gravitational form factors of Goldstone bosons 4) Nucleon's seismology?
“…These densities are firstly defined in Refs. [20,44] and newly parametrized in Refs. [14,43] to conveniently express the strong forces in a hadron acting on the radial area element.…”
Section: Angular Momentum Densitymentioning
confidence: 99%
“…For the higher spin hadrons, the works on the parametrization of the stress tensor are made in Refs. [14,44].…”
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.
“…These densities are firstly defined in Refs. [20,44] and newly parametrized in Refs. [14,43] to conveniently express the strong forces in a hadron acting on the radial area element.…”
Section: Angular Momentum Densitymentioning
confidence: 99%
“…For the higher spin hadrons, the works on the parametrization of the stress tensor are made in Refs. [14,44].…”
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.
“…The mass ε(r), angular momentum 1 ρ J (r), pressure p(r) and shear force s(r) distributions in the BF are derived by the 3D inverse Fourier transform of the GFFs, i.e., F = A, M, J, D, in terms of the multipole expansion [11,22,37,38]:…”
Section: Gravitational Form Factors Of the Nucleonmentioning
We investigate the two-dimensional energy-momentum-tensor (EMT) distributions of the nucleon on the light front, using the Abel transforms of the three-dimensional EMT ones. We explicitly show that the main features of all EMT distributions are kept intact in the course of the Abel transform. We also examine the equivalence between the global and local conditions for the nucleon stability in the three-dimensional Breit frame and in the two-dimensional transverse plane on the light front. We also discuss the two-dimensional force fields inside a nucleon on the light front.
“…These densities are firstly defined in Ref. [20,44] and newly parametrized in Ref. [14,43] to conveniently express the strong forces in a hadron acting on the radial area element.…”
Section: Angular Momentum Densitymentioning
confidence: 99%
“…For the higher spin hadrons, the works on the parametrization of the stress tensor are made in Ref. [14,44].…”
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 ∆ GFFs within the SU(2) Skyrme model based on the large Nc limit.
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