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Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
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Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
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We demonstrate that spontaneous transverse polarization of Lambda baryon ($\Lambda$) production in $e^+e^-$ annihilation can be described using the transverse momentum dependent polarizing fragmentation functions (TMD PFFs). Using a simple Gaussian model, we perform an extraction of the TMD PFFs by fitting the BELLE collaboration's recent measurement of the $\Lambda$ transverse polarization in back-to-back $\Lambda+h$ production in $e^+ e^-$ collisions, $e^{-} + e^{+} \rightarrow \Lambda^{\uparrow}+h+X$. We find that this simple model accurately describes the experimental data for $\Lambda$ production associated with pions and kaons, and we are able to determine TMD PFFs for different quark flavors. We use these newly extracted TMD PFFs to make predictions for the transverse polarization of $\Lambda$ produced in semi-inclusive deep inelastic scattering at a future electron-ion collider, and find that such a polarization is around $10\%$ and should be measurable.
Forward citations
Cited by 4 Pith papers
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Hyperon-pair spin tomography beyond scalar spin correlations
A process-independent framework shows scalar hyperon-pair correlations leave density-matrix degeneracy, requiring transverse and longitudinal tensor components plus anisotropy A_C to claim entanglement.
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TMDs in the Lens of Generative AI: A Pixel-Based Approach to Partonic Imaging
A nonparametric pixel-based Bayesian method integrates TMD evolution with generative AI sampling and SVD to extract parton distributions and identify unconstrained null components from multi-scale observables.
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Scalar Lambda-pair spin correlations leave a continuous density-matrix degeneracy; full tensor tomography is required to claim entanglement, and a ³P₀ benchmark predicts a specific anisotropy pattern.
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