2005/03/31 by Sébastien Dusuel, S. Dusuel, J. Vidal +5
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Critical exponent #Excited state #Geometry #Ground state #Homogeneous space #Interacting boson model #Mathematical physics #Mathematics #Nuclear physics research studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #Statistical physics #cond-mat.stat-mech #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevc.72.011301
published as Phys. Rev. C 72, 011301 (2005) · 4 pages, 3 figures, published version
openalex publication_date 2005/07/14 · arxiv created 2005/07/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the finite-size scaling exponents for the critical point at the shape-phase transition from U(5) (spherical) to O(6) (deformed \ensuremathγ-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.