{"paper":{"title":"Spatial and Momentum Imaging of the Pion and Kaon","arxiv_id":"2003.03037","primary_cat":"hep-ph","submitted_at":"2020-03-06T05:32:11+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.79,"id":"s0","own":true,"role":"method","text":"We determine the leading Fock state light front wave functions (LFWFs) of the pion and kaon via light front projections of the covariant Bethe-Salpeter wave function.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.79,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.21,"interpretation":0.0}},{"i":1,"p":0.65,"id":"s1","own":true,"role":"contribution","text":"Using these LFWFs we study the multi-dimensional images of the valence quarks in the pion and kaon that are provided by their generalized parton distribution functions (GPDs) and transverse momentum dependent parton distribution functions (TMDs).","hedge":{"p":0.98,"label":"asserted"},"own_p":0.91,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.35,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.65,"interpretation":0.0}},{"i":2,"p":0.82,"id":"s2","own":true,"role":"method","text":"Moments of the GPDs are taken to obtain the electromagnetic and gravitational form factors of the pion and kaon, and comparisons to available experimental and lattice data are made.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.91,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.4,"role_probabilities":{"gap":0.0,"method":0.82,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.16,"interpretation":0.0}},{"i":3,"p":0.99,"id":"s3","own":true,"role":"result","text":"Highlights from this study include predictions that the mean-squared impact parameter for the quarks in the pion and kaon are: $\\langle \\vec{b}_T^2\\rangle_{u}^\\pi=0.11$fm$^2$, $\\langle \\vec{b}_T^2\\rangle_{s}^K=0.08$fm$^2$, and $\\langle \\vec{b}_T^2\\rangle_{u}^K=0.13$fm$^2$, and therefore the $s$ quark in the kaon is much closer to the center of transverse momentum than the $u$ quark.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.94,"main_claim_p":0.32,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"From the electromagnetic and gravitational form factors we find that the light-cone energy radii are about 60\\% smaller than the light-cone charge radii for each quark sector in the pion and kaon.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.17,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":5,"p":0.41,"id":"s5","own":true,"role":"method","text":"A quantitative measure of the importance of the leading Fock state is obtained via comparison with a full DSE calculation (containing an infinite tower of Fock states) for the pion form factor.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.52,"role_probabilities":{"gap":0.0,"method":0.41,"result":0.16,"background":0.0,"limitation":0.02,"future_work":0.0,"contribution":0.39,"interpretation":0.02}}]},"compiled":{"main_claim":{"p":0.75,"text":"Highlights from this study include predictions that the mean-squared impact parameter for the quarks in the pion and kaon are: $\\langle \\vec{b}_T^2\\rangle_{u}^\\pi=0.11$fm$^2$, $\\langle \\vec{b}_T^2\\rangle_{s}^K=0.08$fm$^2$, and $\\langle \\vec{b}_T^2\\rangle_{u}^K=0.13$fm$^2$, and therefore the $s$ quark in the kaon is much closer to the center of transverse momentum than the $u$ quark.","location":"abstract s3","hedge_strength":{"p":0.94,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":5398,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.3,"human_participants":0.01,"controlled_comparison":0.18,"randomized_assignment":0.01,"states_quantitative_result":0.99,"compares_with_prior_results":0.97,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.7,"value":"simulation or 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