{"paper":{"title":"N/D Description of Two Meson Amplitudes and Chiral Symmetry","arxiv_id":"hep-ph/9809337","primary_cat":"hep-ph","submitted_at":"1998-09-11T09:52:20+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":0.6,"id":"s0","own":true,"role":"contribution","text":"The most general structure of an elastic partial wave amplitude when the unphysical cuts are neglected is deduced in terms of the N/D method.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.26,"result":0.14,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.6,"interpretation":0.0}},{"i":1,"p":0.81,"id":"s1","own":true,"role":"method","text":"This result is then matched to lowest order, ${\\mathcal{O}}(p^2)$, Chiral Perturbation Theory($\\chi$PT) and to the exchange (consistent with chiral symmetry) of resonances in the s-channel.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.87,"main_claim_p":0.08,"quantitative":true,"quantitative_p":0.5,"role_probabilities":{"gap":0.0,"method":0.81,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.0}},{"i":2,"p":0.73,"id":"s2","own":true,"role":"contribution","text":"The extension of the method to coupled channels is also given.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.9,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.27,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.73,"interpretation":0.0}},{"i":3,"p":0.62,"id":"s3","own":true,"role":"contribution","text":"Making use of the former formalism, the $\\pi\\pi$ and $K\\pi$(I=1/2) P-wave scattering amplitudes are described without free parameters when taking into account relations coming from the 1/$N_c$ expansion and unitarity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.17,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.35,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.62,"interpretation":0.0}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"Next, the scalar sector is studied and good agreement with experiment up to $\\sqrt{s}=1.4$ GeV is found.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":5,"p":0.66,"id":"s5","own":true,"role":"interpretation","text":"It is observed that the $a_0(980)$, $\\sigma$ and $\\kappa(900)$ resonances are meson-meson states originating from the unitarization of the ${\\mathcal{O}}(p^2)$ $\\chi$PT amplitudes.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.27,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.34,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.66}},{"i":6,"p":0.52,"id":"s6","own":true,"role":"interpretation","text":"On the other hand, the $f_0(980)$ is a combination of a strong S-wave meson-meson unitarity effect and of a preexisting singlet resonance with a mass around 1 GeV.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.15,"quantitative":true,"quantitative_p":0.57,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.48,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.52}},{"i":7,"p":0.98,"id":"s7","own":true,"role":"contribution","text":"We have also studied the size of the contributions of the unphysical cuts to the $\\pi\\pi$(I=0) and $K\\pi$(I=1/2) elastic S-wave amplitudes from $\\chi$PT and the exchange of resonances in crossed channels up to $\\sqrt{s}\\approx 800$ MeV.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.96,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.78,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":8,"p":1.0,"id":"s8","own":true,"role":"method","text":"The loops are calculated as in $\\chi$PT at next to leading order.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.74,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.11,"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":9,"p":1.0,"id":"s9","own":true,"role":"result","text":"We find a small correction from the unphysical cuts to our calculated partial 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