{ "id": "1109.6242", "version": "v1", "published": "2011-09-28T15:31:52.000Z", "updated": "2011-09-28T15:31:52.000Z", "title": "Elastic Scattering of Point Particles With Nearly Equal Masses", "authors": [ "Andreas Knauf", "Markus Stepan" ], "comment": "9 pages, 1 figure", "categories": [ "math-ph", "math.MP" ], "abstract": "We show that for n billiard particles on the line there exist three open sets in the product of phase space and the space of their masses, such that these particles exhibit exactly n-1, n over 2 respectively n+1 over 3 collisions. These open sets intersect any neighborhood of the diagonal in mass space.", "revisions": [ { "version": "v1", "updated": "2011-09-28T15:31:52.000Z" } ], "analyses": { "subjects": [ "37D50" ], "keywords": [ "point particles", "equal masses", "elastic scattering", "open sets intersect", "mass space" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1109.6242K" } } }