Thouless-Valatin rotational moment of inertia from linear response theory
Petrík, K., & Kortelainen, M. (2018). Thouless-Valatin rotational moment of inertia from linear response theory. Physical Review C, 97(3), Article 034321. https://doi.org/10.1103/PhysRevC.97.034321
Published in
Physical Review CDate
2018Copyright
© 2018 American Physical Society. Published in this repository with the kind permission of the publisher.
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.
...
Publisher
American Physical SocietyISSN Search the Publication Forum
2469-9985Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/27973114
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
Thouless-Valatin moment of inertia and removal of the spurious mode in the linear response theory
Kortelainen, Markus (IOP Publishing Ltd, 2020)Symmetry breaking at the mean-field level leads to an appearance of a symmetry restoring Nambu-Goldstone (NG) mode in the linear response theory. These modes represent a special kind of collective motion of the system. ... -
Precision measurement of the magnetic octupole moment in 45Sc as a test for state-of-the-art atomic- and nuclear-structure theory
de Groote, R.P.; Moreno, J.; Dobaczewsk,i J.; Koszorús, Á.; Moore, I.; Reponen, M.; Sahoo, B.K.; Yuan, C. (Elsevier BV, 2022)We report on measurements of the hyperfine A, B and C -constants of the 3d4s2 2 D5/2 and 3d4s2 2 D3/2 atomic states in 45Sc. High-precision atomic calculations of the hyperfine fields of these states and second-order ... -
Impact of the surface energy coefficient on the deformation properties of atomic nuclei as predicted by Skyrme energy density functionals
Ryssens, W.; Bender, M.; Bennaceur, Karim; Heenen, P.-H.; Meyer, J. (American Physical Society, 2019)Background: In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena are related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the ... -
Towards a novel energy density functional for beyond-mean-field calculations with pairing and deformation
Haverinen, Tiia; Kortelainen, Markus; Dobaczewski, J.; Bennaceur, K. (Jagellonian University, 2019)We take an additional step towards the optimization of the novel finite-range pseudopotential at a constrained Hartree–Fock–Bogolyubov level and implement an optimization procedure within an axial code using harmonic ... -
Model nuclear energy density functionals derived from ab initio calculations
Salvioni, G.; Dobaczewski, J.; Barbieri, C.; Carlsson, G.; Idini, A.; Pastore, A. (Institute of Physics, 2020)We present the first application of a new approach, proposed in (2016J.Phys.G:Nucl.Part.Phys.4304LT01) to derive coupling constants of the Skyrme energy density functional (EDF) fromab initioHamiltonian. By perturbing theab ...