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We present an ab initio approach for the description of collective excitations and transition strength distributions of arbitrary nuclei up into the sd-shell that based on the No-Core Shell Model in combination with the Lanczos…

Nuclear Theory · Physics 2017-09-21 Christina Stumpf , Tobias Wolfgruber , Robert Roth

The phenomenon of reflection-asymmetric nuclear shapes is relevant to nuclear stability, nuclear spectroscopy, nuclear decays and fission, and the search for new physics beyond the standard model. Global surveys of ground-state octupole…

The time-dependent Hartree-Fock calculation with a full Skyrme energy functional has been carried out on the three-dimensional Cartesian lattice space to study E1 giant dipole resonances (GDR) in light nuclei. The outgoing boundary…

Nuclear Theory · Physics 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana

We study the predictive power of Skyrme forces with respect to low lying quadrupole spectra along the chains of Sn, Cd, and Te isotopes. Excitation energies and B(E2) values for the lowest quadrupole states are computed from a collective…

Nuclear Theory · Physics 2009-11-10 P. Fleischer , P. Kluepfel , P. -G. Reinhard , J. A. Maruhn

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagonalization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , S. Bednarek , J. Adamowski , M. B. Tavernier , E. Anisimovas , F. M. Peeters

The giant dipole resonance (GDR) in deformed nuclei is analyzed using the self-consistent separable random-phase-approximation (SRPA) with Skyrme forces SkT6, SkM$^*$, SLy6 and SkI3. The deformed nuclei $^{150}$Nd and $^{238}$U are used as…

Nuclear Theory · Physics 2008-11-26 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard

The volume and surface effects in the nuclear local energy density and the volume and surface components of the pairing interaction are discussed in the context of the mean-field, Hartree-Fock-Bogoliubov description of atomic nuclei.…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

We present a method to calculate spectroscopic properties of odd-odd nuclei within the framework of the Interacting Boson-Fermion-Fermion Model based on the Gogny energy density functional. The $(\beta,\gamma)$-deformation energy surface of…

Nuclear Theory · Physics 2019-03-13 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

We study the information content carried by the electric dipole strength with respect to isovector and isoscalar indicators characterizing bulk nuclear matter and finite nuclei. To separate isoscalar and isovector modes, and low-energy…

Nuclear Theory · Physics 2015-06-12 P. -G. Reinhard , W. Nazarewicz

[Background] Giant resonance (GR) is a typical collective mode of vibration. The deformation splitting of the isovector (IV) giant dipole resonance is well established. However, the splitting of GRs with other multipolarities is not well…

Nuclear Theory · Physics 2021-10-13 Kenichi Yoshida

The two-basis method to solve the HFB for deformed nuclei in coordinate space is examined concerning the precision of the density tail. Small cutoff energies are shown to give rise to ripples in the tail, whose wave length corresponds to…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

We provide a rigorous derivation of a class of double-hybrid approximations, combining Hartree-Fock exchange and second-order Moller-Plesset correlation with a semilocal exchange-correlation density functional. These double-hybrid…

Chemical Physics · Physics 2011-02-21 Kamal Sharkas , Julien Toulouse , Andreas Savin

The low-lying isovector dipole strengths in neutron rich nuclei $^{26}$Ne and $^{28}$Ne are investigated in the quasiparticle relativistic random phase approximation. Nuclear ground state properties are calculated in an extended…

Nuclear Theory · Physics 2009-02-18 Li-Gang Cao , Zhong-Yu Ma

The isoscalar giant dipole resonance structure in $^{208}$Pb is calculated in the framework of a fully consistent relativistic random phase approximation, based on effective mean-field Lagrangians with nonlinear meson self-interaction…

Nuclear Theory · Physics 2009-11-06 D. Vretenar , A. Wandelt , P. Ring

We adapt the proton-neutron finite-amplitude method, which in its original form is an efficient implementation of the Skyrme quasiparticle random phase approximation, to include the coupling of quasiparticles to like-particle phonons. The…

Nuclear Theory · Physics 2023-08-24 Qunqun Liu , Jonathan Engel , Nobuo Hinohara , Markus Kortelainen

We develop the isospin-invariant Skyrme-EDF method by considering local densities in all possible isospin channels and proton-neutron (p-n) mixing terms as mandated by the isospin symmetry. The EDF employed has the most general form that…

Nuclear Theory · Physics 2014-05-21 J. A. Sheikh , N. Hinohara , J. Dobaczewski , T. Nakatsukasa , W. Nazarewicz , K. Sato

Single-particle resonant states, also called Gamow states, as well as bound and scattering states of complex energy form a complete set, the Berggren completeness relation. It is the building block of the recently introduced Gamow Shell…

Nuclear Theory · Physics 2008-11-26 N. Michel , K. Matsuyanagi , M. Stoitsov

The effective surface approximation is extended accounting for derivatives of the symmetry energy density per particle. Using the analytical isovector surface energy constants within the Fermi-liquid droplet model, one obtains energies and…

Nuclear Theory · Physics 2014-11-20 J. P. Blocki , A. G. Magner , P. Ring

The systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes is studied within the Hartree-Fock-Bogoliubov plus Equal Filling Approximation method preserving both axial and time reversal symmetries.…

Nuclear Theory · Physics 2011-01-25 R. Rodriguez-Guzman , P. Sarriguren , L. M. Robledo
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