{"paper":{"title":"Zero range (contact) interactions conspire to produce Efimov trimers and quadrimers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Gianfausto Dell'Antonio","submitted_at":"2018-04-17T15:42:02Z","abstract_excerpt":"We introduce \\emph{contact (zero range) interactions } , a special class of self-adjoint extensions of the N-body Schr\\\"odinger free hamiltonian $ H_0$ restricted to functions with support away from the \\emph{contact manifold} $ \\Gamma \\equiv \\cup \\Gamma_{i,j} \\;\\;\\; \\Gamma_{i,j}\\equiv \\{x_i = x_j \\; i \\not= j \\} \\;,\\; x_i \\in R^3 $.\n  These extensions are defined by boundary conditions at $ \\Gamma$.\n  We discuss the spectral properties as function of the masses and the statistics\n  The (Efimov) spectrum is entirely due \"conspiracy\" of the contact interactions of two pairs.\n  These states are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06747","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"}