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The Thermal Quasiparticle Random-Phase Approximation is combined with the Skyrme energy density functional method (Skyrme-TQRPA) to study the response of a hot nucleus to an external perturbation. For the sample nuclei, $^{56}$Fe and…

Nuclear Theory · Physics 2016-07-20 Alan A. Dzhioev , A. I. Vdovin , G. Martínez-Pinedo , J. Wambach , Ch. Stoyanov

We combine the thermal QRPA approach with the Skyrme energy density functional theory (Skyrme-TQRPA) for modelling the process of electron capture on nuclei in supernova environment. For a sample nucleus, $^{56}$Fe, the Skyrme-TQRPA…

Nuclear Theory · Physics 2017-03-08 Alan A. Dzhioev , A. I. Vdovin , Ch. Stoyanov

A finite rank separable approximation for the particle-hole RPA calculations with Skyrme interactions is extended to take into account the pairing. As an illustration of the method energies and transition probabilities for the quadrupole…

Nuclear Theory · Physics 2009-11-07 A. P. Severyukhin , Ch. Stoyanov , V. V. Voronov , Nguyen Van Giai

A microscopic thermodynamically consistent approach is applied to compute electron capture (EC) rates and cross sections on nuclei in hot stellar environments. The cross section calculations are based on the Donnelly-Walecka multipole…

Nuclear Theory · Physics 2019-08-12 Alan A. Dzhioev , A. I. Vdovin , Ch. Stoyanov

We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme…

Nuclear Theory · Physics 2012-09-24 Kazuhito Mizuyama , Masayuki Matsuo , Yasuyoshi Serizawa

In numerous astrophysical scenarios, such as core-collapse supernovae and neutron star mergers, as in well as heavy-ion collision experiments, transitions between thermally populated nuclear excited states have been shown to play an…

Nuclear Theory · Physics 2022-09-22 E. M. Ney , A. Ravlić , J. Engel , N. Paar

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

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of…

Nuclear Theory · Physics 2010-02-26 N. Paar , G. Colo , E. Khan , D. Vretenar

Based on the formalism of thermo-field dynamics a new approach for studying collective excitations in hot finite Fermi systems is presented. Two approximations going beyond the thermal RPA namely renormalized thermal RPA and thermal second…

Nuclear Theory · Physics 2007-05-23 D. S. Kosov , A. I. Vdovin , J. Wambach

The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended TDHF approach, including a non-Markovian collision term. It is shown that the…

Nuclear Theory · Physics 2008-11-26 Denis Lacroix , Philippe Chomaz , Sakir Ayik

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

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

A finite rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one- and two-phonon terms in the wave…

Nuclear Theory · Physics 2009-11-10 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

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

A finite rank separable approximation for the quasiparticle RPA with Skyrme interactions is applied to study the low lying quadrupole and octupole states in some S isotopes and giant resonances in some spherical nuclei. It is shown that…

Nuclear Theory · Physics 2009-11-07 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

Finite temperature results in various effects on the properties of nuclear structure and excitations of relevance for nuclear processes in hot stellar environments. Here we introduce the self-consistent finite temperature relativistic…

Nuclear Theory · Physics 2023-10-03 Amandeep Kaur , Esra Yüksel , Nils Paar

The self-consistent quasiparticle RPA (SCQRPA) is constructed to study the effects of fluctuations on pairing properties in nuclei at finite temperature and z-projection M of angular momentum. Particle-number projection (PNP) is taken into…

Nuclear Theory · Physics 2011-02-18 N. Dinh Dang , N. Quang Hung

The relativistic and nonrelativistic finite temperature proton-neutron quasiparticle random phase approximation (FT-PNQRPA) methods are developed to study the interplay of the pairing and temperature effects on the Gamow-Teller excitations…

Nuclear Theory · Physics 2020-05-21 E. Yüksel , N. Paar , G. Colò , E. Khan , Y. F. Niu

We use the Quasiparticle Random Phase Approximation (QRPA) and the Skyrme interactions SLy4 and SkM* to systematically calculate energies and transition strengths for the lowest 2+ state in spherical even-even nuclei.The SkM* functional,…

Nuclear Theory · Physics 2009-06-12 J. Terasaki , J. Engel , G. F. Bertsch

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
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