{"paper":{"title":"Neutrino production coherence and oscillation experiments","arxiv_id":"1201.4128","primary_cat":"hep-ph","submitted_at":"2012-01-19T18:04:59+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 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 v2","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Neutrino oscillations are only observable when the neutrino production, propagation and detection coherence conditions are satisfied.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.07,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.98,"id":"s1","own":true,"role":"contribution","text":"In this paper we consider in detail neutrino production coherence, taking \\pi\\to \\mu \\nu \\ decay as an example.","hedge":{"p":0.71,"label":"asserted"},"own_p":0.85,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":2,"p":0.86,"id":"s2","own":true,"role":"method","text":"We compare the oscillation probabilities obtained in two different ways: (1) coherent summation of the amplitudes of neutrino production at different points along the trajectory of the parent pion; (2) averaging of the standard oscillation probability over the neutrino production coordinate in the source.","hedge":{"p":0.68,"label":"asserted"},"own_p":0.92,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.52,"role_probabilities":{"gap":0.0,"method":0.86,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.14,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"We demonstrate that the results of these two different approaches exactly coincide, provided that the parent pion is considered as pointlike and the detection process is perfectly localized.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.28,"quantitative":false,"quantitative_p":0.47,"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":4,"p":0.72,"id":"s4","own":true,"role":"interpretation","text":"In this case the standard averaging of the oscillation probability over the finite spatial extensions of the neutrino source (and detector) properly takes possible decoherence effects into account.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.65,"main_claim_p":0.23,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.28,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.72}},{"i":5,"p":0.74,"id":"s5","own":true,"role":"contribution","text":"We analyze the reason for this equivalence of the two approaches and demonstrate that for pion wave packets of finite width \\sigma_{x\\pi} the equivalence is broken.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.23,"quantitative":false,"quantitative_p":0.15,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.24,"background":0.0,"limitation":0.02,"future_work":0.0,"contribution":0.74,"interpretation":0.0}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"The leading order correction to the oscillation probability due to \\sigma_{x\\pi}\\ne 0 is shown to be \\sim [v_g/(v_g-v_\\pi)]\\sigma_{x\\pi}/l_{osc}, where v_g and v_\\pi \\ are the group velocities of the neutrino and pion wave packets, and l_{osc} is the neutrino oscillation length.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.28,"quantitative":true,"quantitative_p":0.75,"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}}]},"compiled":{"main_claim":{"p":0.63,"text":"We analyze the reason for this equivalence of the two approaches and demonstrate that for pion wave packets of finite width \\sigma_{x\\pi} the equivalence is broken.","location":"abstract s5","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":5861,"cost_usd_reported":0.000246},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.03,"states_limitation":0.84,"human_participants":0.01,"controlled_comparison":0.15,"randomized_assignment":0.01,"states_quantitative_result":0.5,"compares_with_prior_results":0.9,"mentions_code_or_data_availability":0.01},"evidential_basis":{"p":1.0,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":1.0,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.71,"text":"We analyze the reason for this equivalence of the two approaches and demonstrate that for pion wave packets of finite width \\sigma_{x\\pi} the equivalence is broken.","location":"abstract s5"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v2"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":7,"sentences_in_abstract":7},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; 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