2017/09/25 by Kristian Petrík, K. Petrík, M. Kortelainen · 12 citations
Mathematics · Physics and Astronomy · #Amplitude #Angular momentum #Atomic and Molecular Physics #Classical mechanics #Euler's equations #Hamiltonian (control theory) #Inertia #Mathematics #Moment of inertia #Nuclear physics research studies #Pairing #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Random phase approximation #Rotary inertia #Rotational energy #Rotational partition function #Rotational transition #nucl-th
paper · pdf · doi:10.1103/physrevc.97.034321
published in Physical Review C 97(3) (American Institute of Physics) · 10 pages, 5 figures
arxiv created 2017/09/25 · openalex created_date 2017/10/06 · openalex publication_date 2018/03/22 · arxiv updated 2018/03/28 · openalex updated_date 2026/08/05
Spontaneous breaking of continuous symmetries of a nuclear many-body system results in the appearance of zero-energy restoration modes. These so-called spurious Nambu-Goldstone modes represent a special case of collective motion and are sources of important information about the Thouless-Valatin inertia. The main purpose of this work is to study the Thouless-Valatin rotational moment of inertia as extracted from the Nambu-Goldstone restoration mode that results from the zero-frequency response to the total-angular-momentum operator. We examine the role and effects of the pairing correlations on the rotational characteristics of heavy deformed nuclei in order to extend our understanding of superfluidity in general. We use the finite-amplitude method of the quasiparticle random-phase approximation on top of the Skyrme energy density functional framework with the Hartree-Fock-Bogoliubov theory. We have successfully extended this formalism and established a practical method for extracting the Thouless-Valatin rotational moment of inertia from the strength function calculated in the symmetry-restoration regime. Our results reveal the relation between the pairing correlations and the moment of inertia of axially deformed nuclei of rare-earth and actinide regions of the nuclear chart. We have also demonstrated the feasibility of the method for obtaining the moment of inertia for collective Hamiltonian models. We conclude that from the numerical and theoretical perspective, the finite-amplitude method can be widely used to effectively study rotational properties of deformed nuclei within modern density functional approaches.