{"paper":{"title":"Comparison of Methods for Extracting Three-Dimensional L\\'evy Source Parameters in $\\sqrt{s_{\\text{NN}}} = 200\\text{ GeV}$ Au+Au Collisions with EPOS3","arxiv_id":"2611.08069","primary_cat":"nucl-th","submitted_at":"2026-11-05T14:21:44+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":1.0,"id":"s0","own":false,"role":"background","text":"Bose--Einstein femtoscopy probes the spatiotemporal geometry of the particle-emitting source in heavy-ion collisions, where experimental data favor a L\\'evy-stable source description.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.06,"main_claim_p":0.04,"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":0.62,"id":"s1","own":true,"role":"method","text":"We compare four approaches for extracting 3D L\\'evy source parameters using $\\pi^+\\pi^+$ pairs from EPOS3-simulated Au+Au collisions at $\\sqrt{s_{\\text{NN}}} = 200\\text{ GeV}$: direct fits to the pair-source distribution $D(\\boldsymbol{\\rho})$, and fits to the two-particle correlation function $C(\\boldsymbol{q})$ obtained via (i) the CRAB package, (ii) direct numerical integration of $D(\\boldsymbol{\\rho})$, and (iii) fast Fourier transformation (FFT).","hedge":{"p":0.98,"label":"asserted"},"own_p":0.95,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.88,"role_probabilities":{"gap":0.0,"method":0.62,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.38,"interpretation":0.0}},{"i":2,"p":0.98,"id":"s2","own":true,"role":"result","text":"On an identical momentum grid, numerical integration and FFT are analytically identical and numerically equivalent ($\\text{RMSE} < 10^{-14}$), while FFT reduces the computation time from hours to seconds.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.19,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":3,"p":0.7,"id":"s3","own":true,"role":"contribution","text":"We extract the transverse-mass dependence of the L\\'evy radii, L\\'evy index $\\alpha$, and correlation strength $\\lambda$ in $0\\text{--}10\\,\\%$ central collisions.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.95,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.92,"role_probabilities":{"gap":0.0,"method":0.1,"result":0.2,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.7,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"All methods reproduce the same physical trends, but CRAB results fluctuate due to event pooling, and correlation-function fits deviate systematically from direct source fits, e.g., with $\\sim 7\\text{--}9\\,\\%$ lower $\\alpha$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.47,"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":1.0,"id":"s5","own":true,"role":"interpretation","text":"These deviations may reflect residual non-L\\'evy features of the source, probed differently in coordinate and momentum space, and the comparison of event-averaged parameters with fits to the ensemble-accumulated source, a mixture of L\\'evy distributions with lower effective 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