{"paper":{"title":"Applications of the Similarity Renormalization Group to the Nuclear Interaction","arxiv_id":"0912.2937","primary_cat":"nucl-th","submitted_at":"2009-12-15T01:12:08+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-1.13-20260917 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 v1","sentences":[{"i":0,"p":0.55,"id":"s0","own":false,"role":"contribution","text":"The Similarity Renormalization Group (SRG) is investigated as a powerful yet practical method to modify nuclear potentials so as to reduce computational requirements for calculations of observables.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.33,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.0,"background":0.42,"limitation":0.0,"future_work":0.0,"contribution":0.55,"interpretation":0.0}},{"i":1,"p":0.63,"id":"s1","own":false,"role":"background","text":"The key feature of SRG transformations that leads to computational benefits is the decoupling of low-energy nuclear physics from high-energy details of the inter-nucleon interaction.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.18,"main_claim_p":0.19,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.11,"result":0.0,"background":0.63,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.24}},{"i":2,"p":0.93,"id":"s2","own":true,"role":"contribution","text":"We examine decoupling quantitatively for two-body observables and few-body binding energies.","hedge":{"p":0.83,"label":"asserted"},"own_p":0.91,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.07,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.93,"interpretation":0.0}},{"i":3,"p":0.77,"id":"s3","own":true,"role":"result","text":"The universal nature of this decoupling is illustrated and errors from suppressing high-momentum modes above the decoupling scale are shown to be perturbatively small.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.28,"quantitative":false,"quantitative_p":0.41,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.77,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.22}},{"i":4,"p":0.96,"id":"s4","own":true,"role":"method","text":"To explore the SRG evolution of many-body forces, we use as a laboratory a one-dimensional system of bosons with short-range repulsion and mid-range attraction, which emulates realistic nuclear forces.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.81,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.21,"role_probabilities":{"gap":0.0,"method":0.96,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"method","text":"The free-space SRG is implemented for few-body systems in a symmetrized harmonic oscillator basis using a recursive construction analogous to no-core shell model implementations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.15,"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":6,"p":0.98,"id":"s6","own":true,"role":"contribution","text":"Building on one-dimensional results we performed the first practical evolution of three-dimensional many-body forces within the No-Core Shell Model basis.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":7,"p":0.83,"id":"s7","own":true,"role":"result","text":"Results for the 3H binding energy are consistent with previous calculations involving momentum-space evolution of only two-body forces, and validate expectations from calculations in the one-dimensional oscillator basis.","hedge":{"p":0.59,"label":"hedged_possibility"},"own_p":0.82,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.42,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.83,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.17}},{"i":8,"p":1.0,"id":"s8","own":true,"role":"result","text":"When applied to 4He calculations, the two- and three-body oscillator matrix elements yield rapid convergence of the ground-state energy with a small net contribution of the induced four-body force.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.35,"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":9,"p":0.88,"id":"s9","own":true,"role":"contribution","text":"The radius of light nuclei is also 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