Quark Distributions of Octet Baryons from SU(3) Symmetry

Abstract

SU(3) symmetry relations between the octet baryons are introduced in order to connect both the unpolarized and polarized quark distributions of the octet baryons with those of the nucleon. Two different parametrizations of the nucleon quark distributions are used. A new scenario of quark flavor and spin structure of the $\Lambda$ is found and compared with two other models: a perturbative QCD based analysis and a quark diquark model. The $u$ and $d$ quarks inside the $\Lambda$ are predicted to be positively polarized at large Bjorken variable $x$ in the new scenario. By using an approximate relation connecting the quark fragmentation functions with the quark distributions, the hadron polarizations of the octet baryons in $e^{+}{e}^{-}$-annihilation, polarized charged lepton deep inelastic scattering (DIS) processes, and neutrino (antineutrino) DIS processes are predicted. The predictions for $\Lambda$ polarizations in several processes are compatible with the available data at large fragmentation momentum fraction $z$, and support the prediction of positively polarized $u$ and $d$ quarks inside the $\Lambda$ at large $x$. Predictions for Drell-Yan processes from ${\Sigma }^{\pm }$ and ${\Xi }^{-}$ beams on an isoscalar target are also given and discussed.

29 latex pages, 16 figures, to appear in PRD

References in corpus (5)

• Helicity and Transversity Distribution of Nucleon and $\Lambda$-Hyperon from $\Lambda$ Fragmentation
• Connection between Distribution and Fragmentation Functions
• Up and Down Quark Contributions to Spin Content of Lambda from Fragmentation
• Weak interactions in polarized semi-inclusive DIS
• Parton Densities and Fragmentation Functions from Polarized Lambda Production in Semi-Inclusive DIS

Cited by in corpus (15)

• Longitudinal Spin Transfer to the $\Lambda$ Hyperon in Semi-Inclusive Deep-Inelastic Scattering
• A lattice study of the spin structure of the Lambda hyperon
• Unwinding the rare $\Omega$ sector: Fragmentation of fully charmed baryons from HL-LHC to FCC
• Phenomenological Relation between Distribution and Fragmentation Functions
• Nucleon strangeness polarization from $\Lambda /\bar{\Lambda }$ hyperon production in polarized proton-proton collision at RHIC
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Kinked tracks from ${\Sigma }^{+}$ baryons as a probe of light quark polarizations
• Ratio of $\bar{\Lambda }/\Lambda$ in Semi-inclusive Electroproduction
• Nuclear EMC effect through $\bar{\Lambda }/\Lambda$ production in semi-inclusive deep-inelastic scattering processes
• Multimodal Fragmentation of All-Heavy Pentaquarks: Uncertainty-Aware Predictions for Hadron Colliders
• Particle-Antiparticle Asymmetries of $\Lambda$ Production in Hadron-Nucleon Collisions
• Octet Quark Contents from SU(3) Flavor Symmetry
• Heavy-flavor multimodal fragmentation to $S$-wave pentacharms at next-generation hadron colliders
• Mass Suppression in Octet Baryon Production
• Longitudinal Spin Transfer to $\Lambda$ Hyperons in Semi-Inclusive Deep Inelastic Scattering with CLAS12