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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

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

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

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

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

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

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

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 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

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

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

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

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 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

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

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

Valuable theoretical predictions of nuclear dipole excitations in the whole chart are of great interest for different nuclear applications, including in particular nuclear astrophysics. Here we present large-scale calculations of the $E1$…

Nuclear Theory · Physics 2016-07-29 M. Martini , S. Péru , S. Hilaire , S. Goriely , F. Lechaftois

The low-energy enhancement observed recently in the deexcitation gamma-ray strength functions, suggested to arise due to the magnetic dipole radiation, motivates theoretical efforts to improve the description of M1 strength in available…

Nuclear Theory · Physics 2024-07-29 M. Frosini , W. Ryssens , K. Sieja

We use the canonical Hartree-Fock-Bogoliubov basis to implement a completely self-consistent quasiparticle-random-phase approximation with arbitrary Skyrme energy density functionals and density-dependent pairing functionals. The point of…

Nuclear Theory · Physics 2011-07-18 J. Terasaki , J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , M. Stoitsov
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