{"paper":{"title":"Rapid Accurate Calculation of the s-Wave Scattering Length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.comp-ph"],"primary_cat":"physics.atom-ph","authors_text":"Andrey V. Stolyarov, Robert J. Le Roy, Vladimir V. Meshkov","submitted_at":"2011-09-29T13:26:52Z","abstract_excerpt":"Transformation of the conventional radial Schr\\\"odinger equation defined on the interval $\\,r\\in[0,\\infty)$ into an equivalent form defined on the finite domain $\\,y(r)\\in [a,b]\\,$ allows the s-wave scattering length $a_s$ to be exactly expressed in terms of a logarithmic derivative of the transformed wave function $\\phi(y)$ at the outer boundary point $y=b$, which corresponds to $r=\\infty$. In particular, for an arbitrary interaction potential that dies off as fast as $1/r^n$ for $n\\geq 4$, the modified wave function $\\phi(y)$ obtained by using the two-parameter mapping function $r(y;\\bar{r},"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6522","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}