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The response of a nucleus to an electromagnetic probe is a key quantity to simulate photabsorption or photodeexcitation processes. For large calculations at the scale of the entire mass table, this response can be estimated by linear…

核理论 · 物理学 2024-04-05 Tong Li , Nicolas Schunck

Starting from a general many-body fermionic Hamiltonian, we derive the equations of motion (EOM) for nucleonic propagators in a superfluid system. The resulting EOM is of the Dyson type formulated in the basis of Bogoliubov's…

The self-consistent Relativistic Quasiparticle Random Phase Approximation (RQRPA) is extended by the quasiparticle-phonon coupling (QPC) model using the Quasiparticle Time Blocking Approximation (QTBA). The method is formulated in terms of…

核理论 · 物理学 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev

We use the finite amplitude method (FAM), an efficient implementation of the quasiparticle random phase approximation, to compute beta-decay rates with Skyrme energy-density functionals for 3983 nuclei, essentially all the medium-mass and…

核理论 · 物理学 2020-10-28 E. M. Ney , J. Engel , N. Schunck

We derive the equations of quasiparticle random-phase approximation (QRPA) based on the finite amplitude method (FAM) with the Hartree-Fock+BCS (HF+BCS) single-particle states, and calculate the magnetic dipole (M1) transition for deformed…

核理论 · 物理学 2023-06-07 Hirokazu Sasaki , Toshihiko Kawano , Ionel Stetcu

We describe and apply a version of the finite amplitude method for obtaining the charge-changing nuclear response in the quasiparticle random phase approximation. The method is suitable for calculating strength functions and beta-decay…

核理论 · 物理学 2015-06-19 M. T. Mustonen , T. Shafer , Z. Zenginerler , J. Engel

We apply the random phase approximation (RPA) and its extension called renormalized RPA to the quantum anharmonic oscillator with an O(2) symmetry. We first obtain the equation for the RPA frequencies in the standard and in the renormalized…

高能物理 - 唯象学 · 物理学 2009-11-10 Zoheir Aouissat , Cecile Martin

Photoabsorption cross sections for 235 stable nuclei, ranging from $^{40}$Ca to $^{209}$Bi, were investigated by the quasiparticle finite amplitude method (QFAM) based on the axially deformed relativistic Hartree-Bogoliubov (RHB) approach…

核理论 · 物理学 2025-06-25 C. Chen , Y. F. Niu , R. Xu , Y. Tian

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding…

核理论 · 物理学 2022-10-19 Emanuel V. Chimanski , Eun Jin In , Jutta E. Escher , Sophie Péru , Walid Younes

Background: Microscopic description of spontaneous fission is one of the most challenging subjects in nuclear physics. It is necessary to evaluate the collective potential and the collective inertia along a fission path for a description of…

核理论 · 物理学 2021-01-20 Kouhei Washiyama , Nobuo Hinohara , Takashi Nakatsukasa

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…

核理论 · 物理学 2019-01-30 Kouhei Washiyama , Takashi Nakatsukasa

A self-consistent random phase approximation (RPA) is proposed as an effective Hamiltonian method in Light-Front Field Theory (LFFT). We apply the general idea to the light-front massive Schwinger model to obtain a new bound state equation…

高能物理 - 理论 · 物理学 2009-10-31 Koji Harada

The finite amplitude method is a feasible and efficient method for the linear response calculation based on the time-dependent density functional theory. It was originally proposed as a method to calculate the strength functions. Recently,…

核理论 · 物理学 2014-09-17 Takashi Nakatsukasa

The Hartree-Fock-RPA approach is applied to the 1D anti-ferromagnetic Heisenberg model in the Jordan-Wigner representation. Somewhat contrary to expectation, this leads to reasonable results for spectral functions and sum rules in the…

强关联电子 · 物理学 2009-11-11 A. Rabhi , P. Schuck , J. Da Providencia

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

统计力学 · 物理学 2016-06-15 Derek Frydel , Manman Ma

The matrix equations of the random-phase approximation (RPA) are derived for the point-coupling Lagrangian of the relativistic mean-field (RMF) model. Fully consistent RMF plus (quasiparticle) RPA illustrative calculations of the isoscalar…

核理论 · 物理学 2009-11-11 T. Niksic , D. Vretenar , P. Ring

This Ph.D. thesis derives the equations of the Faddeev Random Phase Approximation (FRPA) and applies the method to a set of small atoms and molecules. The occurence of RPA instabilities in the dissociation limit is addressed in molecules…

化学物理 · 物理学 2015-06-11 Matthias Degroote

Fully consistent axially-symmetric-deformed Quasi-particle Random Phase Approximation (QRPA) calculations have been performed, in which the same Gogny D1S effective force has been used for both the Hartree-Fock-Bogolyubov mean field and the…

核理论 · 物理学 2008-11-26 S. Peru , H. Goutte

A microscopic model aimed at the description of charge-exchange nuclear excitations along isotopic chains which include open-shell systems, is developed. It consists of quasiparticle random phase approximation (QRPA) made on top of…

核理论 · 物理学 2009-02-18 S. Fracasso , G. Colo`

The Quasiparticle Random Phase Approximation (QRPA) is used in evaluation of the total muon capture ratesfor the final nuclei participating in double-beta decay. Several variants of the method are used, depending on the size of the single…

核理论 · 物理学 2020-09-09 Fedor Simkovic , Rastislav Dvornicky , Petr Vogel