Medium modification of the nucleon mechanical properties: Abel tomography case
arXiv:2204.10093 · doi:10.1140/epjc/s10052-022-10676-4
Abstract
We investigate how the gravitational form factors of the nucleon undergo changes in nuclear matter, emphasizing the Abel transformation from the three-dimensional (3D) Breit frame to the two-dimensional (2D) light-front frame. Since the gravitational form factors reveal the mechanical structure of the nucleon, we examine also the medium modifications of the energy-momentum, pressure, and shear-force distributions. We scrutinize the stabilities of the nucleon in nuclear matter. For this purpose, we employ the in-medium modified SU(2) Skyrme model to study these mechanical quantities of the nucleon, since it provides a simple but clear framework. In this in-medium modified SU(2) Skyrme model, the modification of pionic properties is performed by using low-energy pion-nucleus scattering data and the saturation properties of nuclear matter near the normal nuclear matter density, . The results reveal how the nucleon swells in nuclear matter as the mass distribution of the nucleon is broadened in medium. We also show that the mean square radii corresponding to the mass and angular momentum distributions increase in nuclear medium. This feature is kept both in 3D and 2D cases. We visualize how the strong force fields inside the nucleon in the 2D plane are distributed and illustrate how these forces undergo change in nuclear matter.
arXiv comment17 pages with 12 figures
References in corpus (46)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Generalized Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- Hard Exclusive Reactions and the Structure of Hadrons
- Scaling Limit of Deeply Virtual Compton Scattering
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- Generalized parton distributions and strong forces inside nucleons and nuclei
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Charge Density of the Neutron
- Revisiting the mechanical properties of the nucleon
- A Study of Off-Forward Parton Distributions
- Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- Transverse Charge Densities
- Empirical transverse charge densities in the nucleon and the nucleon-to- transition
- The nucleon form-factors of the energy momentum tensor in the Skyrme model
- Spatial distribution of angular momentum inside the nucleon
- On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
- Forces within hadrons on the light front
- Charge Distributions of Moving Nucleons
- Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
- Energy-momentum tensor form factors of the nucleon in nuclear matter
- Ambiguities in the definition of local spatial densities in light hadrons
- Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
- Description and interpretation of DVCS measurements
- Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
- Unified formalism for electromagnetic and gravitational probes: densities
- Tomography for amplitudes of hard exclusive processes
- On the definition of local spatial densities in hadrons
- The relativistic center of mass in field theory with spin
- On the A-dependence of nuclear generalized parton distributions
- Gravitational form factors of a baryon with spin-3/2
- Chiral theory of nucleons and pions in the presence of an external gravitational field
- Strong force fields and stabilities of the nucleon and singly heavy baryon
- Medium Modification of Nucleon Properties in Skyrme Model
- 2D energy-momentum tensor distributions of nucleon in a large- quark model from ultra-relativistic to non-relativistic limit
- Relativistic spin sum rules and the role of the pivot
- On the deuteron relativistic charge distributions
- Monopole and quadrupole contributions to the angular momentum density
- Dual parameterization and Abel transform tomography for twist-3 DVCS
- Transverse charge distributions of the nucleon and their Abel images
- Binding energy per nucleon and hadron properties in nuclear matter
- Density dependence of meson - nucleon vertices in nuclear matter
- Electromagnetic multipole structure of a spin-one particle: Abel tomography case
- Determination of shear forces inside the proton
- Energy-momentum tensor of the nucleon on the light front: Abel tomography case