Helicity and Transversity Distribution of Nucleon and $\Lambda$-Hyperon from $\Lambda$ Fragmentation

Abstract

It is shown that $\Lambda$-hyperon fragmentation in charged lepton deep inelastic scattering (DIS) on a polarized nucleon target can provide sensitive information concerning the quark helicity and transversity distributions for both nucleon and $\Lambda$-hyperon at large $x$. Numerical predictions are given for the spin transfers of the produced $\Lambda$, when the target nucleon is polarized either longitudinally or transversely, and with the nucleon and $\Lambda$ quark distributions evaluated both in an SU(6) quark-spectator-diquark model and in a perturbative QCD (pQCD) based model. It is also shown that the predicted spin transfers have different behaviors for proton and neutron targets, and this can provide sensitive tests of different predictions for the quark helicity and transversity distributions of the $d$ valence quark of the proton at large $x$.

17 latex pages, 4 figures, published in PRD64, 014017 (2001), Erratum added concerning a wrong comparison with data, published in PRD64, 099901 (2001)

References in corpus (2)

• Melosh rotation: source of the proton's missing spin
• Connection between Distribution and Fragmentation Functions

Cited by in corpus (23)

• Azimuthal Spin Asymmetries of Pion Electroproduction
• A lattice study of the spin structure of the Lambda hyperon
• Measurement of prompt photons with associated jets in photoproduction at HERA
• Quark Distributions of Octet Baryons from SU(3) Symmetry
• Transverse spin transfer to $\Lambda$ and $\bar{\Lambda }$ hyperons in polarized proton-proton collisions at $\sqrt{s}=200\mathrm{GeV}$
• Longitudinal Polarization of Lambda and anti-Lambda Hyperons in Lepton-Nucleon Deep-Inelastic Scattering
• Transversity from two pion interference fragmentation
• Next-to-leading order QCD evolution of transversity fragmentation functions
• Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model
• Quark to $\Lambda$-hyperon spin transfers in the current-fragmentation region
• Generalized form factors of the nucleon in a light-cone spectator-diquark model
• Nucleon strange $s\bar{s}$ asymmetry to the $\Lambda /\bar{\Lambda }$ fragmentation
• Spin alignment of the high $p_T$ vector mesons in polarized pp collisions at high energies
• Strange quark-antiquark asymmetry of nucleon sea from $\Lambda /\bar{\Lambda }$ polarization
• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• Spin Correlations of Lambda anti-Lambda Pairs as a Probe of Quark-Antiquark Pair Production
• The Transversity Function and Double Spin Azimuthal Asymmetry in Semi-Inclusive Pion Leptoproduction
• Ratio of $\bar{\Lambda }/\Lambda$ in Semi-inclusive Electroproduction
• Evidence for SU(3) symmetry breaking from hyperon production
• Hyperon polarization in e^-p --> e^-HK with polarized electron beams
• Particle-Antiparticle Asymmetries of $\Lambda$ Production in Hadron-Nucleon Collisions
• Double Spin Asymmetry in Semi-inclusive Deep Inelastic Scattering
• Mass Suppression in Octet Baryon Production