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The finite amplitude method (FAM), which we have recently proposed (T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007)), simplifies significantly the fully self-consistent RPA calculation. Employing the FAM, we are…

Nuclear Theory · Physics 2014-11-20 Tsunenori Inakura , Takashi Nakatsukasa , Kazuhiro Yabana

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

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

Background: The quasiparticle random phase approximation (QRPA), within the framework of the nuclear density functional theory (DFT), has been a standard tool to access the collective excitations of the atomic nuclei. Recently, finite…

Nuclear Theory · Physics 2016-03-30 Tomohiro Oishi , Markus Kortelainen , Nobuo Hinohara

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

We present an efficient numerical technique to evaluate the matrix of the (quasiparticle)-random-phase approximation, using the finite amplitude method (FAM). The method is tested in calculation of monopole excitations in 120Sn, compared…

Nuclear Theory · Physics 2013-02-11 Paolo Avogadro , Takashi Nakatsukasa

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

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

Electromagnetic multipole responses are key inputs to model the structure, decay and reaction of atomic nuclei. With the introduction of the finite amplitude method (FAM), large-scale calculations of the nuclear linear response in heavy…

Nuclear Theory · Physics 2024-09-23 Tong Li , Nicolas Schunck , Mike Grosskopf

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to…

Nuclear Theory · Physics 2009-11-11 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard , D. S. Dolci

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

We propose a practical method to solve the random-phase approximation (RPA) in the self-consistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing finite…

Nuclear Theory · Physics 2010-11-26 Takashi Nakatsukasa , Tsunenori Inakura , Kazuhiro Yabana

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

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

The self-consistent separable random-phase approximation (SRPA) model with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain…

Nuclear Theory · Physics 2011-05-26 V. O. Nesterenko , J. Kvasil , P. Vesely , W. Kleinig , P. -G. Reinhard

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

In the past decades, the \gamma-decay of giant resonances has been studied using phenomenological models. In keeping with possible future studies performed with exotic beams, microscopically-based frameworks should be envisaged. In the…

Nuclear Theory · Physics 2015-06-03 Marco Brenna , Gianluca Colò , Pier Francesco Bortignon

The self-consistent separable RPA (random phase approximation) method is formulated for Skyrme forces with pairing. The method is based on a general self-consistent procedure for factorization of the two-body interaction. It is relevant for…

Nuclear Theory · Physics 2016-03-01 V. O. Nesterenko , J. Kvasil , W. Kleinig , P. -G. Reinhard , D. S. Dolci

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

In the present contribution, we discuss the behavior of Skyrme forces when they are employed to study both neutron stars and giant resonance states in 208Pb within the fully self-consistent Random Phase Approximation (RPA). We point out…

Nuclear Theory · Physics 2009-06-12 G. Colo'
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