2025/05/15 by Y. Yu, Peng Cheng, Yu, Yang +7
Economics, Econometrics and Finance · Decision Sciences · Mathematics · #Stochastic processes and financial applications #Probability and Risk Models #Probability and Statistical Research
paper · pdf · doi:10.48550/arxiv.2505.10663
Treating baryons as quark + interacting-diquark bound states, a symmetry-preserving formulation of a vector × vector contact interaction (SCI) is used to deliver an extensive, coherent set of predictions for Λ, Σ0 baryon unpolarised and polarised distribution functions (DFs) -- valence, glue, and four-flavour separated sea -- and compare them with those of a like-structured nucleon. Λ, Σ0 baryons are strangeness negative-one isospin partners within the SU(3)-flavour baryon octet. This makes such structural comparisons significant. The study reveals impacts of diquark correlations and SU(3)-flavour symmetry breaking on Λ, Σ0 structure functions, some of which are significant. For instance, were it not for the presence of axialvector diquarks in the Σ0 at the hadron scale, the s quark could carry none of the Σ0 spin. The discussion canvasses issues that include helicity retention in hard scattering processes; the sign and size of polarised gluon DFs; and the origin and decomposition of baryon spins. Interpreted judiciously, the SCI analysis delivers an insightful explanation of baryon structure as expressed in DFs.