{ "id": "1004.4957", "version": "v1", "published": "2010-04-28T06:19:54.000Z", "updated": "2010-04-28T06:19:54.000Z", "title": "On the Binding Energy Parameter $λ$ of Common Envelope Evolution", "authors": [ "Xiao-Jie Xu", "Xiang-Dong Li" ], "comment": "23 pages, 3 figures, accepted for publication in ApJ.", "categories": [ "astro-ph.SR" ], "abstract": "The binding energy parameter $\\lambda$ plays an important role in common envelope (CE) evolution. Previous works have already pointed out that $\\lambda$ varies throughout the stellar evolution, though it has been adopted as a constant in most of the population synthesis calculations. We have systematically calculated the binding energy parameter $\\lambda$ for both Population I and Population II stars of masses $1-20 M_{\\sun}$, taking into account the contribution from the internal energy of stellar matter. We present fitting formulae for $\\lambda$ that can be incorporated into future population synthesis investigations. We also briefly discuss the possible applications of the results in binary evolutions.", "revisions": [ { "version": "v1", "updated": "2010-04-28T06:19:54.000Z" } ], "analyses": { "keywords": [ "binding energy parameter", "common envelope evolution", "population synthesis calculations", "population synthesis investigations", "internal energy" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/0004-637X/722/2/1985", "journal": "The Astrophysical Journal", "year": 2010, "month": "Jun", "volume": 716, "number": 1, "pages": 114 }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 853305, "adsabs": "2010ApJ...716..114X" } } }