The time-dependent Skyrme Hartree-Fock calculations have been performed to study 24 Mg + 24 Mg collisions. The twisted boundary conditions, which can avoid finite box-size effects of the employed 3D coordinate space, have been implemented. The prolate deformed 24 Mg has been set to different orientations to study vibrations and rotations of the compound nucleus 48 Cr. Our time evolution results show continuum damping effects associated with the twist-averaged boundary condition play a persistent role after the fusion stage. In particular, a rotational damping in continuum is presented in calculations of both twist-averaged and absorbing boundary conditions, in which damping widths can be clearly extracted. It is unusual that the rotating compound nucleus in continuum evolves towards spherical but still has a considerable angular momentum.Introduction.-The real-time nuclear dynamics such as collective responses, large amplitude collisions and fissions have been studied extensively to probe effective interactions, many-body correlations and transport properties [1-3]. The basic theoretical framework for quantum many-body dynamics is the time-dependent Schrödinger equation with various approximations. In this respect, the microscopic time-dependent Hartree-Fock (TDHF) (or time-dependent density functional theory) was very successful for studies of nuclear dynamics, particularly the large amplitude dynamics [1-7]. The improved time-dependent-Hartree-Fock-Bogoliubov calculations have also been developed for superfluid systems, relying on tremendous computing capabilities [8,9]. Besides, the quantum molecular dynamics calculations have been widely used for heavy ion collisions at higher energies with two-body dissipations [10]. In the small amplitude limit of collective motions, TDHF results can match the random phase approximation (RPA), or linear resonance theory [2,11]. For nuclear collisions involving considerable excitation energies, the TDHF without pairing is a reasonable approximation. For too high excitation energies, the TDHF is not applicable when two-body collisions become prominent.
8 pages, 10 figures, submitted to PRCInternational audienceUsing the $\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including density-dependent effective mass and spin-orbit potential. We first implement and examine the full correction terms over different energy intervals of the quasiparticle spectra in calculations of finite nuclei. Final applications of this generalized Thomas-Fermi method are intended for various inhomogeneous superfluid Fermi systems
We have investigated collective breathing modes of a unitary Fermi gas in deformed harmonic traps. The ground state is studied by the Superfluid Local Density Approximation (SLDA) and small-amplitude collective modes are studied by the iterative Quasiparticle Random Phase Approximation (QRPA). The results illustrate the evolutions of collective modes of a small system in traps from spherical to elongated or pancake deformations. For small spherical systems, the influences of different SLDA parameters are significant, and, in particular, a large pairing strength can shift up the oscillation frequency of collective mode. The transition currents from QRPA show that the compressional flow patterns are nontrivial and dependent on the deformation. Finally, the finite size effects are demonstrated to be reasonable when progressing towards larger systems. Our studies indicate that experiments on small and medium systems are valuable for understanding effective interactions in systems with varying sizes and trap deformations.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.