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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…

Nuclear Theory · Physics 2020-09-09 Fedor Simkovic , Rastislav Dvornicky , Petr Vogel

A computer code for quasiparticle random phase approximation-QRPA and projected quasiparticle random phase approximation-PQRPA models of nuclear structure is explained in details. An important application of the code consists in evaluating…

Nuclear Theory · Physics 2010-04-22 F. Krmpotic , A. R. Samana , C. A. Bertulani

A semimicroscopical approach is applied to describe photoabsorption and partial photonucleon reactions accompanied by the excitation of the giant dipole resonance (GDR). The approach is based on the continuum-RPA (CRPA) with a…

Nuclear Theory · Physics 2009-11-07 V. A. Rodin , M. H. Urin

The relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is applied in the calculation of beta-decay half-lives of neutron-rich nuclei in the $Z\approx 28$ and $Z\approx 50$ regions. The study is based on the…

Nuclear Theory · Physics 2008-11-26 T. Marketin , D. Vretenar , P. Ring

The proton-neutron relativistic quasiparticle random phase approximation (PN-RQRPA) is formulated in the canonical single-nucleon basis of the relativistic Hartree-Bogoliubov (RHB) model, for an effective Lagrangian characterized by…

Nuclear Theory · Physics 2009-02-18 N. Paar , T. Niksic , D. Vretenar , P. Ring

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 new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for…

Nuclear Theory · Physics 2009-11-23 Kenichi Yoshida , Nguyen Van Giai

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant…

Nuclear Theory · Physics 2011-03-21 J. Daoutidis , P. Ring

The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

Nuclear Theory · Physics 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

Quasiparticle random-phase approximation (QRPA) is applied to two nuclei, and overlap of the QRPA excited states based on the different nuclei is calculated. The aim is to calculate the overlap of intermediate nuclear states of the…

Nuclear Theory · Physics 2015-06-05 J. Terasaki

The relativistic quasiparticle random phase approximation (RQRPA) is formulated in the canonical single-nucleon basis of the relativistic Hartree-Bogoliubov (RHB) model. For the interaction in the particle-hole channel effective Lagrangians…

Nuclear Theory · Physics 2009-02-18 N. Paar , T. Niksic , D. Vretenar , P. Ring

We present a real-space method for computing the random phase approximation (RPA) correlation energy within Kohn-Sham density functional theory, leveraging the low-rank nature of the frequency-dependent density response operator. In…

Computational Physics · Physics 2025-04-03 Boqin Zhang , Shikhar Shah , John E. Pask , Edmond Chow , Phanish Suryanarayana

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…

Nuclear Theory · Physics 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev

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

Covariant density functional theory, in the framework of self-consistent Relativistic Mean Field (RMF) and Relativistic Random Phase approximation (RPA), is for the first time applied to axially deformed nuclei. The fully self-consistent…

Nuclear Theory · Physics 2009-09-15 D. Pena Arteaga , P. Ring

Linear response theory is a well-established method in physics and chemistry for exploring excitations of many-body systems. In particular, the quasiparticle random-phase approximation (QRPA) provides a powerful microscopic framework by…

Computational Physics · Physics 2025-10-17 L. Jin , A. Ravlić , P. Giuliani , K. Godbey , W. Nazarewicz

We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the…

Nuclear Theory · Physics 2011-05-13 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

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

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

While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider time-honored approximations such as the Hartree-Fock (HF) approximation and…

Nuclear Theory · Physics 2007-05-23 Calvin W. Johnson , Ionel Stetcu