Distribution Functions of $Λ$ and $Σ^0$ Baryons
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| Format: | Preprint |
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2025
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| _version_ | 1866915483683389440 |
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| author | Yu, Yang Cheng, Peng Xing, Hui-Yu Binosi, Daniele Roberts, Craig D. |
| author_facet | Yu, Yang Cheng, Peng Xing, Hui-Yu Binosi, Daniele Roberts, Craig D. |
| contents | Treating baryons as quark + interacting-diquark bound states, a symmetry-preserving formulation of a vector$\,\times\,$vector contact interaction (SCI) is used to deliver an extensive, coherent set of predictions for $Λ, Σ^0$ baryon unpolarised and polarised distribution functions (DFs) -- valence, glue, and four-flavour separated sea -- and compare them with those of a like-structured nucleon. $Λ, Σ^0$ 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 $Λ$, $Σ^0$ structure functions, some of which are significant. For instance, were it not for the presence of axialvector diquarks in the $Σ^0$ at the hadron scale, the $s$ quark could carry none of the $Σ^0$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_10663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distribution Functions of $Λ$ and $Σ^0$ Baryons Yu, Yang Cheng, Peng Xing, Hui-Yu Binosi, Daniele Roberts, Craig D. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory Treating baryons as quark + interacting-diquark bound states, a symmetry-preserving formulation of a vector$\,\times\,$vector contact interaction (SCI) is used to deliver an extensive, coherent set of predictions for $Λ, Σ^0$ baryon unpolarised and polarised distribution functions (DFs) -- valence, glue, and four-flavour separated sea -- and compare them with those of a like-structured nucleon. $Λ, Σ^0$ 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 $Λ$, $Σ^0$ structure functions, some of which are significant. For instance, were it not for the presence of axialvector diquarks in the $Σ^0$ at the hadron scale, the $s$ quark could carry none of the $Σ^0$ 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. |
| title | Distribution Functions of $Λ$ and $Σ^0$ Baryons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2505.10663 |