{"paper":{"title":"A Model for the Correlation of Hard X-ray Index with Eddington Ratio in Black Hole X-ray Binaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"B.F. Liu, Erlin Qiao","submitted_at":"2012-12-08T08:53:08Z","abstract_excerpt":"Observations show that there is a positive correlation between Eddington ratio $\\lambda$ and hard X-ray index $\\Gamma$ for $\\lambda \\gtrsim 0.01$, and there is an anti-correlation between $\\lambda$ and $\\Gamma$ for $\\lambda \\lesssim 0.01$ in black hole X-ray binaries (with $\\lambda=L_{\\rm bol}/L_{\\rm Edd}$). In this work, we theoretically investigate the correlation between $\\Gamma$ and $\\lambda$ within the framework of disk-corona model. We improve the model by taking into account all cooling processes including synchrotron and self-Compton radiations in the corona, Comptonization of the soft"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1770","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"}