{"paper":{"title":"Thermal-pulse-resolved Binary Population Synthesis with Detailed Stellar Models: Implications for Long-period WD+MS Formation","arxiv_id":"2611.13502","primary_cat":"astro-ph.SR","submitted_at":"2026-11-10T03:14:19+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. 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$M_{\\odot}$.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.97,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.88,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.0}},{"i":2,"p":1.0,"id":"s2","own":true,"role":"method","text":"Applying these tracks to $5\\times10^6$ initially sampled binaries, we follow the time-dependent stellar radius, wind mass loss, angular momentum, and tidal interactions, while calculating the envelope binding energy directly from the donor structure at the onset of Roche-lobe overflow.","hedge":{"p":0.9,"label":"asserted"},"own_p":0.96,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.9,"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":3,"p":0.95,"id":"s3","own":true,"role":"result","text":"We find that thermal pulses can trigger binary interaction through envelope expansion and tidal orbital shrinkage, while the weakly bound envelopes of highly evolved thermally pulsing asymptotic giant branch (TP-AGB) donors allow CE ejection with limited orbital contraction.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.37,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.95,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.05}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"For our standard model, with $\\alpha_{\\mathrm{CE}}$ = 0.3 and $\\alpha_{\\mathrm{th}}$ = 0.5, systems with orbital periods above 30 days constitute approximately 11.5\\% of the resulting TP-AGB-initiated post-CE binaries (PCEBs).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.11,"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":0.99,"id":"s5","own":true,"role":"result","text":"Long-period PCEBs can form across a large range of CE parameters and can reach periods of several hundred days even without any internal-energy contribution when $\\alpha_{\\mathrm{CE}}$ = 1.","hedge":{"p":0.89,"label":"asserted"},"own_p":0.92,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.92,"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":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"Their WD masses peak near 0.6 $M_\\odot$, whereas systems containing more massive WDs are rare.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.95,"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":7,"p":0.87,"id":"s7","own":true,"role":"interpretation","text":"Moreover, long-period PCEBs closely follow the single-star initial--final mass relation, providing a potential diagnostic of their formation channel in clusters, where progenitor masses can be independently constrained.","hedge":{"p":0.65,"label":"hedged_possibility"},"own_p":0.86,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.27,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.13,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.87}},{"i":8,"p":0.68,"id":"s8","own":true,"role":"interpretation","text":"Our results identify late TP-AGB CEE as a viable contributor to the observed long-period 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