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Related papers: Efficient calculation for the quasiparticle random…

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We present the finite amplitude method (FAM) for superfluid systems. A Hartree-Fock-Bogoliubov code may be transformed into a code of the quasi-particle-random-phase approximation (QRPA) with simple modifications. This technique has…

Nuclear Theory · Physics 2011-08-08 Paolo Avogadro , Takashi Nakatsukasa

A new implementation of the finite amplitude method (FAM) for the solution of the relativistic quasiparticle random-phase approximation (RQRPA) is presented, based on the relativistic Hartree-Bogoliubov (RHB) model for deformed nuclei. The…

Nuclear Theory · Physics 2013-11-27 Tamara Niksic , Nenad Kralj , Tea Tutis , Dario Vretenar , Peter Ring

The finite amplitude method (FAM) is a very efficient approach for solving the fully self-consistent random-phase approximation (RPA) equations. We use FAM to rederive the RPA matrices for general Skyrme-like functionals, calculate the…

Nuclear Theory · Physics 2022-04-27 Hirokazu Sasaki , Toshihiko Kawano , Ionel Stetcu

We present an efficient method for calculating strength functions using the finite amplitude method (FAM) for deformed superfluid heavy nuclei within the framework of the nuclear density functional theory. We demonstrate that FAM reproduces…

Nuclear Theory · Physics 2015-05-28 M. Stoitsov , M. Kortelainen , T. Nakatsukasa , C. Losa , W. Nazarewicz

Background: To access selected excited states of nuclei, within the framework of nuclear density functional theory, the quasiparticle random phase approximation (QRPA) is commonly used. Purpose: We present a computationally efficient, fully…

Nuclear Theory · Physics 2015-11-11 M. Kortelainen , N. Hinohara , W. Nazarewicz

The finite-amplitude method (FAM) is one of the most promising methods for optimizing the computational performance of the random-phase approximation (RPA) calculations in deformed nuclei. In this report, we will mainly focus on our recent…

Nuclear Theory · Physics 2014-05-16 Haozhao Liang , Takashi Nakatsukasa , Zhongming Niu , Jie Meng

Based on the Hartree-Fock-Bogoliubov solutions in large deformed coordinate spaces, the finite amplitude method for quasiparticle random phase approximation (FAM-QRPA) has been implemented, providing a suitable approach to probe collective…

Nuclear Theory · Physics 2015-06-23 J. C. Pei , M. Kortelainen , Y. N. Zhang , F. R. Xu

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…

Nuclear Theory · Physics 2024-04-05 Tong Li , Nicolas Schunck

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

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…

Nuclear Theory · Physics 2020-10-28 E. M. Ney , J. Engel , N. Schunck

Background: The major challenge for nuclear theory is to describe and predict global properties and collective modes of atomic nuclei. Of particular interest is the response of the nucleus to a time-dependent external field that impacts the…

Nuclear Theory · Physics 2013-06-18 Nobuo Hinohara , Markus Kortelainen , Witold Nazarewicz

Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example,…

Nuclear Theory · Physics 2013-10-16 Haozhao Liang , Takashi Nakatsukasa , Zhongming Niu , Jie Meng

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…

Nuclear Theory · Physics 2023-01-02 Yinu Zhang , Antonio Bjelčić , Tamara Nikšić , Elena Litvinova , Peter Ring , Peter Schuck

The quasiparticle finite amplitude method (QFAM) is extended to describe charge-exchange transitions based on the relativistic Hartree-Bogoliubov model, adopting the point-coupling energy density functional DD-PC1 and a finite-range…

Nuclear Theory · Physics 2026-01-01 Chen Chen , Zhengzheng Li , Yinu Zhang , Yifei Niu

We develop a calculation method for describing the direct and pre-equilibrium processes in neutron-induced reactions based on the framework of noniterative finite amplitude method (FAM) and distorted-wave Born approximation (DWBA). The…

Nuclear Theory · Physics 2025-07-28 Hirokazu Sasaki , Toshihiko Kawano , Marc Dupuis

Several approaches to photonuclear reactions, based on the time-dependent density-functional theory, have been developed recently. The standard linearization leads to the random-phase approximation (RPA) or the quasiparticle-random-phase…

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,…

Nuclear Theory · Physics 2014-09-17 Takashi Nakatsukasa

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…

Nuclear Theory · Physics 2023-06-07 Hirokazu Sasaki , Toshihiko Kawano , Ionel Stetcu

The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of…

Data Structures and Algorithms · Computer Science 2011-09-21 Felipe A. Cruz , L. A. Barba

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…

Nuclear Theory · Physics 2015-06-19 M. T. Mustonen , T. Shafer , Z. Zenginerler , J. Engel
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