Gluon and valence quark distributions for the pion and kaon in nuclear matter

Abstract

In this paper we study the gluon and valence quark distributions in the pion and kaon in nuclear medium for various nuclear densities as well as in vacuum within the Nambu--Jona-Lasinio (NJL) model with the help of the proper-time regularization scheme which simulates a confinement of QCD. The nuclear medium effect is also determined in the same model for the symmetric nuclear matter. We then analyze the gluon and valence quark distributions for the bound pion and kaon in symmetric nuclear matter as well as those in vacuum. We find that the valence quark and gluon distributions in vacuum have relatively good agreements with the experimental data, the lattice QCD simulations, and the JAM Monte-Carlo (MC) global fit QCD analysis. Evolving to the higher factorization scale $Q=$ 4 GeV, the in-medium gluon and valence-quark distributions of the pion for various nuclear densities are turned out to be almost unchanged in comparison to the vacuum cases. On the contrary, for the kaon, they increase significantly with respect to the densities. Finally, we find that the vacuum gluon distribution for the kaon is smaller than that for the pion, which is consistent with other theoretical predictions. This feature holds for the in-medium gluon distribution in the nuclear density up to the saturation density.

arXiv comment10 pages, 15 figures, published version

References in corpus (29)

• Electron-Ion Collider in China
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion and Kaon Structure at the Electron-Ion Collider
• The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model
• First Monte Carlo global QCD analysis of pion parton distributions
• Parton Distribution Functions of the Charged Pion Within The xFitter Framework
• Numerical solution of $Q^2$ evolution equations in a brute-force method
• Symmetry, symmetry breaking, and pion parton distributions
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Valence-quark distribution functions in the kaon and pion
• The asymptotic behaviour of parton distributions at small and large $x$
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Light mesons with one dynamical gluon on the light front
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Letter of Intent: A New QCD facility at the M2 beam line of the CERN SPS (COMPASS++/AMBER)
• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Pion structure in the nuclear medium
• Dihadron Fragmentation Functions within the NJL-jet Model
• Electroweak properties of pions in a nuclear medium
• Charge Symmetry Breaking Effects in Pion and Kaon Structure
• Valence-quark distributions of pions and kaons in a nuclear medium
• Massive Neutron Stars with a Color Superconducting Quark Matter Core
• Tackling the kaon structure function at EicC
• Electroweak properties of kaons in a nuclear medium
• Intrinsic Glue and Wilson lines within Dressed Quarks
• Gluon Parton Distribution of the Pion and Nucleon from Lattice QCD
• Regarding the distribution of glue in the pion

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• Does nuclear medium affect the transverse momentum-dependent parton distributions of valence quark of pions?
• Effect of nuclear medium on the spatial distribution of pions
• In-medium electromagnetic form factors of pseudoscalar mesons from the quark model
• Medium effects on the electromagnetic form factors of the $\rho$ meson
• Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
• Parton Distribution Functions for Pseudoscalar Mesons in the COnfining Effective Chiral Quark Theory
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons