{ "id": "cond-mat/0503240", "version": "v2", "published": "2005-03-10T09:53:27.000Z", "updated": "2005-07-15T08:09:04.000Z", "title": "Finite-size scaling exponents in the interacting boson model", "authors": [ "S. Dusuel", "J. Vidal", "J. M. Arias", "J. Dukelsky", "J. E. Garcia-Ramos" ], "comment": "4 pages, 3 figures, published version", "journal": "Phys. Rev. C 72, 011301 (2005)", "doi": "10.1103/PhysRevC.72.011301", "categories": [ "cond-mat.stat-mech", "nucl-th", "quant-ph" ], "abstract": "We investigate the finite-size scaling exponents for the critical point at the shape phase transition from U(5) (spherical) to O(6) (deformed $\\gamma$-unstable) dynamical symmetries of the Interacting Boson Model, making use of the Holstein-Primakoff boson expansion and the continuous unitary transformation technique. We compute exactly the leading order correction to the ground state energy, the gap, the expectation value of the $d$-boson number in the ground state and the $E2$ transition probability from the ground state to the first excited state, and determine the corresponding finite-size scaling exponents.", "revisions": [ { "version": "v2", "updated": "2005-07-15T08:09:04.000Z" } ], "analyses": { "subjects": [ "21.60.Fw", "21.10.Re", "05.10.Cc", "75.40.Cx" ], "keywords": [ "finite-size scaling exponents", "interacting boson model", "continuous unitary transformation technique", "holstein-primakoff boson expansion", "ground state energy" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 678204 } } }