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A finite rank separable approximation for the particle-hole RPA calculations with Skyrme interactions is extended to take into account the pairing. As an illustration of the method energies and transition probabilities for the quadrupole…

Nuclear Theory · Physics 2009-11-07 A. P. Severyukhin , Ch. Stoyanov , V. V. Voronov , Nguyen Van Giai

The five-dimensional quadrupole collective model based on energy density functionals (EDF) has often been employed to treat long-range correlations associated with shape fluctuations in nuclei. Our goal is to derive the collective inertial…

Nuclear Theory · Physics 2017-11-08 Kouhei Washiyama , Takashi Nakatsukasa

Using the Beyond-Skyrme-Hartree-Fock approach with various Skyrme-type $NN$ effective interactions, we explore the large spectroscopic quadrupole moment $Q_s$ of the first excited $2_{1}^{+}$ state in $^{20}$Ne. Our calculated…

Nuclear Theory · Physics 2025-07-09 Xue Huai-Tong , Qiu Suo , Chen C. F. , Chen Q. B. , Zhou Xian-Rong , Ren Zhongzhou

The self-consistent quasiparticle random-phase approximation (QRPA) approach is formulated in the canonical single-nucleon basis of the relativistic Hatree-Fock-Bogoliubov (RHFB) theory. This approach is applied to study the isobaric analog…

Nuclear Theory · Physics 2017-04-12 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , J. Meng

Several approximations are tested by calculating the ground-state energy and the energy of the first excited $0^{+}$ state using an exactly solvable model with two symmetric levels interacting via a pairing force. They are the BCS…

Nuclear Theory · Physics 2009-09-29 Nguyen Dinh Dang

Large-amplitude collective dynamics of shape phase transition in the low-lying states of 30-36Mg is investigated by solving the five-dimensional (5D) quadrupole collective Schroedinger equation. The collective masses and potentials of the…

The iterative quasi-particle-random-phase approximation (QRPA) method we previously developed to accurately calculate properties of individual nuclear states is extended so that it can be applied for nuclei with odd numbers of neutrons and…

Nuclear Theory · Physics 2014-06-03 B. G. Carlsson , J. Toivanen

Recent theoretical work has not led to a consensus regarding the nature of the low-energy E1 strength in the 40,44,48Ca isotopes, for which high-resolution (gamma,gamma') data exist. Here we revisit this problem using the first-order…

Nuclear Theory · Physics 2012-03-21 P. Papakonstantinou , H. Hergert , V. Yu. Ponomarev , R. Roth

Journal of Combinatorial Theory, Series B, 98(1):173-225, 2008n exotic nuclei are studied in the framework of a fully self-consistent relativistic continuum random phase approximation (RCRPA). In this method the contribution of the…

Nuclear Theory · Physics 2015-06-17 Ding Yang , Ligang Cao , Zhongyu Ma

Individual low-energy E1 toroidal and compressional states (TS and CS) produced by the convective nuclear current ${\bf j}_{\rm c}$ were recently predicted for $^{24}$Mg in the framework of quasiparticle random-phase-approximation (QRPA)…

Nuclear Theory · Physics 2019-12-11 V. O. Nesterenko , A. Repko , J. Kvasil , P. -G. Reinhard

Microscopic structure of the low-lying isovector dipole excitation mode in neutron-rich $^{26,28,30}$Ne is investigated by performing deformed quasiparticle-random-phase-approximation (QRPA) calculations. The particle-hole residual…

Nuclear Theory · Physics 2008-11-26 Kenichi Yoshida , Nguyen Van Giai

The low-lying collective states in Sn isotopes are studied by a five-dimensional collective Hamiltonian with parameters determined from the triaxial relativistic mean-field calculations using the PC-PK1 energy density functional. The…

Nuclear Theory · Physics 2015-06-11 Z. P. Li , C. Y. Li , J. Xiang , J. M. Yao , J. Meng

Using the Hartree-Fock plus random-phase-approximation (HF+RPA), we study the impurity effect of $\Lambda$ hyperon on the collective vibrational excitations of double-$\Lambda$ hypernuclei. To this end, we employ a Skyrme-type $\Lambda N$…

Nuclear Theory · Physics 2015-06-03 F. Minato , K. Hagino

We calculate densities of excited states in the quasiparticle random-phase approximation (QRPA)with Skyrme interactions and volume pairing. We focus on low-energy peaks/bumps in the strength functions of a range of Ca, Ni, and Sn isotopes…

Nuclear Theory · Physics 2008-11-26 J. Terasaki , J. Engel

The method of intermediate-energy Coulomb excitation has been widely used to determine absolute B(E2; 0+ -> 2+) quadrupole excitation strengths in exotic nuclei with even numbers of protons and neutrons. Transition rates measured with…

Nuclear Experiment · Physics 2007-05-23 J. M. Cook , T. Glasmacher , A. Gade

The electric quadrupole response in $^{112,114}$Sn isotopes is investigated by energy-density functional (EDF) and three-phonon quasiparticle-phonon model (QPM) theory with special emphasis on 2$^+$ excitations located above the first…

Nuclear Theory · Physics 2019-09-04 N. Tsoneva , M. Spieker , H. Lenske , A. Zilges

The lowest positive- and negative-parity bands of $^{20}$Ne and neutron-rich even-even Ne isotopes are investigated using a theoretical framework based on energy density functionals. Starting from a self-consistent relativistic…

Nuclear Theory · Physics 2018-02-27 P. Marević , J. -P. Ebran , E. Khan , T. Nikšić , D. Vretenar

The angular momentum projected Generator Coordinate Method using the quadrupole moment as collective coordinate and the Gogny force as the effective interaction is used to describe the properties of the ground state and low-lying excited…

Nuclear Theory · Physics 2007-05-23 R. R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

To study shape fluctuations of nuclei in transitional regions, the collective Hamiltonian method has often been employed. We intend to construct the quadrupole collective Hamiltonian with the collective inertial functions given by the local…

Nuclear Theory · Physics 2019-01-30 Kouhei Washiyama , Takashi Nakatsukasa

The beyond mean-field approach for low-lying hypernuclear states is extended by mixing the configurations associated with both single-particle and quadrupole-octupole collective excitations within the generator coordinate method based on a…

Nuclear Theory · Physics 2023-04-07 H. J. Xia , X. Y. Wu , H. Mei , J. M. Yao