{"paper":{"title":"Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D","arxiv_id":"2312.04080","primary_cat":"quant-ph","submitted_at":"2023-12-07T06:48:42+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-1.13.0 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 v2","sentences":[{"i":0,"p":0.98,"id":"s0","own":true,"role":"contribution","text":"We present a theoretical study of resonance lifetimes in a two-component three-body system, specifically examining the decay of three-body resonances into a deep dimer and an unbound particle.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.93,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.02,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":true,"role":"method","text":"Utilising the Gaussian expansion method together with the complex scaling method, we obtain the widths of these resonances from first principles.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":1.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.99,"id":"s2","own":true,"role":"result","text":"We focus on mass ratios in the typical range for mixtures of ultracold atoms and reveal an intriguing dependence of the resonance widths on the mass ratio: as the mass ratio increases, the widths exhibit oscillations on top of an overall decreasing trend.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.73,"quantitative":false,"quantitative_p":0.46,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":3,"p":0.61,"id":"s3","own":true,"role":"result","text":"In particular, for some mass ratios the resonance width vanishes, implying that the resonance becomes in fact stable.","hedge":{"p":0.9,"label":"asserted"},"own_p":0.92,"main_claim_p":0.29,"quantitative":false,"quantitative_p":0.38,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.61,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.39}},{"i":4,"p":0.59,"id":"s4","own":true,"role":"interpretation","text":"Notably, near the mass ratio for Caesium-Lithium mixtures, we obtain nearly vanishing widths of the resonances which validates to treat them in the bound-state approximation.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.95,"main_claim_p":0.14,"quantitative":false,"quantitative_p":0.4,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.41,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.59}},{"i":5,"p":0.86,"id":"s5","own":true,"role":"result","text":"In addition, we perform our analysis of the resonance widths in both one and three dimensions and find a qualitatively similar dependence on the mass ratio.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.49,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.86,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.14,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.92,"text":"We focus on mass ratios in the typical range for mixtures of ultracold atoms and reveal an intriguing dependence of the resonance widths on the mass ratio: as the mass ratio increases, the widths exhibit oscillations on top of an overall decreasing trend.","location":"abstract s2","hedge_strength":{"p":1.0,"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 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